Quantum Computing Market Analysis: Industry Trends & Investment
Quantum computing market news: market size, industry analysis, quantum investment, market forecast. Quantum computing stocks & funding.
The quantum computing market is transitioning from research to commercial reality, with projections ranging from $1 billion (2024) to $125 billion by 2032 depending on fault-tolerant system development.
Market segmentation by offering type includes quantum hardware (30%), quantum software (25%), and quantum services (45%). By application: optimization (35%), simulation (30%), machine learning (20%), and cryptography (15%).
India's Quantum Market Landscape
India's National Quantum Mission represents a ₹6,003.65 crore ($720 million) government investment through 2030-31, making it one of the top 5 government quantum programs globally. The mission aims to capture a significant share of the growing quantum market by developing indigenous capabilities across computing, communication, sensing, and materials.
India's quantum startup ecosystem received government support through NQM and NM-ICPS (National Mission on Interdisciplinary Cyber-Physical Systems). Eight startups selected in November 2024 include: QNu Labs (Bengaluru): Quantum-safe networks and QKD systems; QpiAI India (Bengaluru): Superconducting quantum computer development; Dimira Technologies (IIT Mumbai): Cryogenic cables for quantum computing; Prenishq (IIT Delhi): Precision diode-laser systems; QuPrayog (Pune): Optical atomic clocks; Quanastra (Delhi): Advanced cryogenics and superconducting detectors; Pristine Diamonds (Ahmedabad): Diamond materials for quantum sensing; Quan2D Technologies (Bengaluru): Superconducting nanowire single-photon detectors.
Tata Consultancy Services (TCS) partners with IBM on quantum computing with significant investment in quantum algorithm development. The Quantum Valley Tech Park in Andhra Pradesh represents a major public-private quantum computing investment.
quantum-computingQoro Participates in €3 Million Consortium build the Secure Control-Plane Foundation for Distributed Quantum Systems
Insider Brief Press release – Qoro has announced its participation in a major €3.06 million collaborative research project funded by the German Federal Ministry for Research, Technology, and Space (BMFTR). The project, titled TruQuaC (Trustworthy Quantum Control and Communication), aims to develop the secure and robust control architecture required to efficiently utilise distributed quantum nodes. This will be […]
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quantum-computingQuantum Elements Appoints Ben Pressley as Chief Revenue Officer
Insider Brief Press release – Quantum Elements, a provider of AI-powered digital twins for quantum computing developers, today announced the appointment of Ben Pressley as Chief Revenue Officer. In this position he will be leveraging his robust experience and expertise in go-to-market execution to lead Quantum Elements’ revenue strategy, customer growth, strategic partnerships and revenue […]
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quantum-computingQAI Ventures Selects Four Startups for Singapore Quantum Accelerator Program
Insider Brief Press release – QAI Ventures, the global venture capital firm that invests in Quantum Technologies and Advanced Computing, today launched the inaugural cohort of its Singapore Quantum Accelerator. The launch marks the first program of its kind in Singapore, and is the centerpiece of QAI Ventures’ expansion into the Asia-Pacific market to grow […]
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quantum-computingHelium-3 Atoms Could Enable 3× Faster Quantum Simulations
Researchers are proposing a new blueprint for quantum simulation utilizing arrays of helium-3 atoms, potentially achieving speeds three times faster than current systems based on lithium-6. The design, from Zheyuan Li of the University of Illinois Urbana-Champaign and colleagues, leverages the lighter mass of helium-3 to accelerate quantum tunneling, allowing for more complex calculations within the limits of atomic coherence. Unlike previous methods that relied solely on atomic position, this system encodes information in both positional and vibrational states, simulating both bosonic modes and fermionic lattice dynamics. The team reports in PRX Quantum that the large energy spacings between vibrational modes of helium-3 make it easy to convert an atom to an intended mode without accidentally exciting it to other levels. Beyond simulation, these helium-3 arrays could also enable precise fundamental measurements, including determining the size of atomic nuclei. This potential for accelerated quantum simulations hinges on a novel approach utilizing helium-3 atoms, as detailed in theoretical work published in PRX Quantum. This departs from earlier methods that relied exclusively on positional data, offering a more comprehensive platform for complex calculations. The lighter mass of helium-3 enables a quantum tunneling rate approximately three times faster than that demonstrated with lithium-6, the next lightest trappable species, promising quicker processing speeds. The researchers’ design employs optical tweezers to trap helium-3 atoms held in a long-lived metastable state, ensuring stability during computation. These meticulously controlled helium-3 arrays offer a pathway to fundamental measurements previously limited by precision, and the team suggests they could be used to determine the size of atomic nuclei with greater accuracy, allowing for direct comparison with existing theoretical predictions. Science writer Sophia Chen notes that this capability extends the
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quantum-computingRISC-V Vector Engine Addresses 128 Qubits With One Instruction
Researchers are forecasting significant advances in quantum control for 2026, centered around a new approach leveraging the RISC-V Vector (RVV) engine. The team reports demonstrating the ability to address 128 qubits with a single instruction, a critical step toward scaling quantum systems beyond current limitations. This vectorized quantum control design also incorporates a hardware-based halt-resume protocol capable of restarting pipeline execution in 80 nanoseconds after a mid-circuit measurement, essential for the rapidly developing field of hybrid quantum-classical algorithms. Comprehensive evaluation using RISC-V toolchains and FPGA prototypes showed a 2.52 times speedup in program execution time compared to baseline designs, suggesting a pathway to overcome the classical control bottleneck hindering quantum processor expansion. Within each circuit family, speedup grows with the number of qubits; for example, performance increased from Bell-4 to Bell-8 by a factor of 52. This progression indicates that larger, more complex quantum algorithms will increasingly benefit from hardware designed to efficiently manage and process a greater number of qubits, moving beyond the limitations of earlier, smaller-scale systems. This capability represents a substantial leap in addressing scalability for quantum systems, moving beyond the sequential control methods that previously limited performance. The ability to operate on a larger qubit space in parallel is critical for realizing the full potential of quantum algorithms, particularly those designed to tackle complex optimization and simulation problems. The hardware-based halt-resume protocol, achieving a restart time of 80 nanoseconds after a mid-circuit measurement, is crucial for enabling rapid iteration in hybrid quantum-classical programs. This speed is essential for minimizing latency and maximizing the efficiency of algorithms that require frequent communication between the quantum processor and classical control
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quantum-computingSpin singlets are useful
--> Quantum Physics arXiv:2607.06672 (quant-ph) [Submitted on 7 Jul 2026] Title:Spin singlets are useful Authors:Silas Hoffman, Edward H. Chen, Matthew Brooks, Stephen Carr, Daniel Volya, Alan Tran, Tyler Keating, Thaddeus D. Ladd, Charles Tahan View a PDF of the paper titled Spin singlets are useful, by Silas Hoffman and 8 other authors View PDF HTML (experimental) Abstract:We evaluate the utility of the spin-zero manifold of an exchange-coupled array of $N$ spins for tasks in quantum computation and quantum simulation. Since pairs of electrons can be readily initialized into a product state of singlets in semiconducting quantum dot arrays, the full spin-zero manifold is available with exchange-only control, providing a Hilbert space of approximate dimension $2^N/(N/2)^{3/2}$, asymptotically close to the $2^N$ dimension of the full spin Hilbert space. Leveraging the spin-zero manifold enables larger computational space in a given array compared to traditional exchange-only control, in which spin arrays are organized into modular units of $n$ spins comprising $N/n$ encoded qubits, limiting to the exponentially smaller Hilbert dimension $2^{N/n}$. Here we focus on benchmarking metrics for this resource utilization by generalizing cross-entropy benchmarking, mirror benchmarking, and out-of-time-ordered correlators to this system. We show that operating in the spin-zero manifold can accelerate the realization of computational quantum advantage applications in semiconductor-based spin qubits. Comments: Subjects: Quantum Physics (quant-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Cite as: arXiv:2607.06672 [quant-ph] (or arXiv:2607.06672v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2607.06672 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Silas Hoffman [view email] [v1] Tue, 7 Jul 2026 18:00:04 UTC (206 KB) Full-text links: Access Paper: View a PDF of the paper titled Spin single
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Quantum error correction of a grid-state qubit with state preparation and measurement errors below $10^{-3}$
--> Quantum Physics arXiv:2607.06718 (quant-ph) [Submitted on 7 Jul 2026] Title:Quantum error correction of a grid-state qubit with state preparation and measurement errors below $10^{-3}$ Authors:Sara Turcotte (1,2), Lucas St-Jean (1), Amélie L. Pessonneaux (1), Ross Shillito (1), Bohdan Kulchytskyy (1), Eliott Ouellet (1), Jean Olivier Simoneau (1), Florian Hopfmueller (1), Matthew Hamer (1), Pascal Lemieux (1), Dany Lachance-Quirion (1), Baptiste Royer (2), Nicholas E. Frattini (1) ((1) Nord Quantique, (2) Département de Physique et Institut quantique, Université de Sherbrooke) View a PDF of the paper titled Quantum error correction of a grid-state qubit with state preparation and measurement errors below $10^{-3}$, by Sara Turcotte (1 and 15 other authors View PDF HTML (experimental) Abstract:Grid state qubits offer a hardware-efficient approach to large-scale fault-tolerant quantum computing. They access the information redundancy required for quantum error correction by exploiting the large Hilbert space naturally available in harmonic oscillators. Superconducting architectures are particularly suitable to implement grid state qubits due to their fast and high-fidelity operations. Grid states in superconducting circuits enable quantum error correction (QEC) with performance beyond break-even. However, the state preparation and measurements (SPAM) errors of grid states has been a significant limitation to computational performances. In this work, we leverage high-performance QEC to enable repeat-until-success state preparation of both cardinal and magic states of the single-mode grid-state qubit. We combine this with an improved measurement protocol that corrects for both finite-energy envelope and auxiliary qubit readout errors, and increases robustness to photon loss. Our experiments, using both techniques, achieve a combined state-preparation and measurement error below $10^{-3}$. This represents two orders-of-magnitude improvement over the state of the art,
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quantum-computingA quantum model for synchronizing finite state transition systems
--> Quantum Physics arXiv:2607.06953 (quant-ph) [Submitted on 8 Jul 2026] Title:A quantum model for synchronizing finite state transition systems Authors:Martin Lukac, Khaled El-Fakih, Uraz Turker View a PDF of the paper titled A quantum model for synchronizing finite state transition systems, by Martin Lukac and 2 other authors View PDF Abstract:We propose a quantum model for finding a resetting input sequence (RS) which can take a finite state transition system (FA), to particular state independent of its current state. The complexity of finding such sequences for various types of FA can be NP-Hard or even PSPACE-Complete. To this end, we represent the FA states, inputs, and transition function in quantum space. Accordingly, we propose a model to represent the execution of an input sequence of a particular length $l$ starting form an initial FA state. The model is extended considering the application in superposition of all input sequences of length $l$ to an initial state of the FA. The model is further extended considering the application of all input sequences to all initial states of the FA capturing for every input sequence the collection (ordered list) of states reached by applying the sequence to all states of the FA. The amplitude amplification algorithm is then used as it combines similar collections of reached states while preserving all input sequences that reach these collections. A Grover search for a reached collection where its elements correspond to the same FA state provides a RS for the FA. Our approach offers a quadratic gain over the exponential complexity of traditional brute-force method, which is the only method that can be applied to a general FA class. As a proof of concept we provide results of several simulated FAs on a quantum simulator. Comments: Subjects: Quantum Physics (quant-ph); Emerging Technologies (cs.ET) ACM classes: D.2.5; F.1.1; F.2.1; I.1.2; J.6 Cite as: arXiv:2607.06953 [quant-ph] (or arXiv:2607.06953v1 [quant-
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quantum-computingQAI Ventures Launches Inaugural Singapore Quantum Accelerator Cohort to Anchor APAC Expansion
QAI Ventures Launches Inaugural Singapore Quantum Accelerator Cohort to Anchor APAC Expansion Global venture capital firm QAI Ventures has officially launched the inaugural cohort of its Singapore Quantum Accelerator, marking the establishment of the state’s first dedicated corporate quantum validation pipeline. Operated in direct cooperation with Enterprise Singapore and structured to align with Singapore’s National Quantum Strategy, the five-month regional program accelerates early-stage quantum and advanced computing ventures looking to scale operations across the Asia-Pacific (APAC) technology market. The execution group selected four highly specialized international startups from a baseline of 63 global applications spanning 12 countries. [ Singapore Quantum Accelerator Matrix ] Program Sponsor ──► Enterprise Singapore (Aligned with the National Quantum Strategy). Financial Injection ──► SGD 300,000 baseline investment package per selected startup. Core Cohort Size ──► 4 international deep-tech startups filtered from 63 applications. Hardware Sandbox ──► Direct computing resource allocations via IonQ, QuEra, and Fujitsu. The localized accelerator addresses a distinct structural barrier within the deep-tech sector: the extensive engineering timeline required to transition foundational laboratory physics into validated, commercial enterprise software and hardware modules. To stabilize these long-range development tracks, QAI Ventures provides each cohort participant with an SGD 300,000 early-stage capitalization package. Alongside direct cash assets, the startups receive a 12-month workspace access allocation in Singapore, targeted market-entry coaching, and cloud-based hardware integrations with active quantum processing units (QPUs) and emulation testbeds provided by structural ecosystem partners IonQ, QuEra, and Fujitsu. The selected inaugural cohort consists of four cross-disciplinary deep-tech ventures: Quantum Logic (Netherlands): Specializing in the engine
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quantum-computingPrinciples of optics in Fock space for the scalable manipulation of large quantum states
Nature Physics (2026) Cite this article
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quantum-computingWu and Colleagues Introduces Cyclic Control Strategy for Fast CZ Gate Fidelity
A new cyclic control strategy overcomes the trade-off between gate speed and accuracy in quantum computing. Ze-An Zhao and colleagues expand the parameter space for pulse design, enabling strong suppression of coherent errors in a superconducting controlled-Z gate. The average error reduces from 0.27% to 0.12% without extending gate duration. This advancement provides a general pathway towards achieving both fast and high-fidelity quantum gates, representing a key step towards scalable quantum computation. Restored qubit controllability enables high-fidelity, fast superconducting controlled-Z gates Error rates dropped to 0.12%, a significant reduction from 0.27% in superconducting controlled-Z gates, representing a major leap in quantum gate fidelity. The team at University of Science and Technology of China achieved this improvement without increasing gate duration, surpassing the conventional speed-fidelity trade-off which previously demanded slower gate speeds for higher accuracy. By addressing distortions in control pulses, tiny imperfections disrupting precise qubit operation, they expanded the range of adjustable parameters during gate operation, effectively restoring controllability. A novel cyclic control strategy provides a general pathway towards building faster and more reliable quantum computers, circumventing a key limitation in current superconducting quantum circuit designs. Validation of the approach used cross-entropy benchmarking, a method for assessing quantum gate performance by measuring preservation of quantum information. This revealed a reduction in coherent errors, stemming from imperfections within the quantum system, and successful suppression of leakage, unwanted transitions to unintended quantum states, alongside phase errors, all without extending gate operation duration, a critical step towards practical quantum computation. The team discovered that short-term distortions in control pulses disrupt the time-reflection symmetry of wavefo
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quantum-computingUniversity of Augsburg Team Designs Valence Bond Embeddings for Deep Chemistry Simulations
Scientists at the University of Augsburg have developed a new methodology addressing a fundamental challenge in quantum chemistry: the accurate and efficient simulation of large molecular systems. Francisco Javier del Arco Santos and Jakob S. Kottmann have combined hybrid Fermionic-Bosonic encodings with Quantum Valence Bond Theory to construct quantum circuits capable of representing more complex molecules than previously achievable, offering a potential pathway towards resolving bottlenecks in quantum computation and expanding the scope of variational quantum eigensolvers. Hybrid encoding and Quantum Valence Bond Theory expand accessible molecular simulation scales A six-fold increase in the size of molecular systems simulated using variational quantum eigensolvers has been demonstrated, significantly exceeding the limitations inherent in traditional active space methods. Published on June 26, this advancement facilitates the simulation of chemically relevant systems that were previously intractable due to computational constraints and the inherent limitations of current quantum hardware. Conventional quantum chemistry calculations often struggle with molecules containing more than a few dozen electrons, owing to the exponential scaling of computational resources with system size. The University of Augsburg researchers overcame this hurdle by strategically combining hybrid Fermionic-Bosonic encodings with Quantum Valence Bond Theory to systematically construct quantum circuits, establishing a clear and direct relationship between the chosen encoding scheme and the resulting electronic structure representation. This allows for a more nuanced and controlled approach to quantum simulation. Quantum circuits now provide novel avenues for simulating molecular properties, circumventing the limitations of existing techniques and opening possibilities for more intricate chemical investigations. The core innovation lies in achieving a more compact and flexible representatio
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quantum-computingPodcast with Christopher Godfree, Commercial Director at Across the Pond
Why Startup Storytelling is a Good Investment Overview How do you make your quantum startup stand out in an industry where every company name starts with the letter Q? One powerful way to do that is to tell the stories of the people building the technology. Christopher Godfree, Commercial Director at Across the Pond, has worked with Ai executives, robotics experts and Google’s Quantum Team to explain how their work will change the world. In this episode of The Quantum Spin by HKA, Christopher and host Veronica Combs discuss how storytelling can derisk deep tech investments and why it’s important to do more than just explain how something works to attract new employees and investment. 00:00 Welcome to Quantum Spin00:46 Meet Christopher Godfree01:59 Making Complex Human03:55 Finding Quantum Use Cases08:29 Storytelling Grows Business11:30 Engineers as Story Fuel13:21 Google Quantum Launch Playbook16:12 Branding That Stands Out20:15 Storytelling at Tech Speed24:45 Culture and Quantum Narratives26:50 What’s Next and Wrap Up Christopher Godfree is the Commercial Director of Across the Pond, a creative consultancy and studio in one. Based in London, but with teams in San Francisco and Singapore, he works with some of the world’s fastest-growing tech businesses, helping them tell more effective stories about their science and technology. He has worked in communications for twenty years, including at a scale up tech business in Tokyo, ad agency JWT London, and the BBC. Transcript [00:00:00] Veronica: Hello, and welcome to The Quantum Spin by HKA. I’m Veronica Combs. I’m a writer and an editor here at the agency. I get to talk every day with really smart people working on really fascinating subjects, everything in the Quantum industry, from hardware to software. On our podcast, we focus in on quantum communication, and by that I don’t mean making networks safe from hacking or entangling photons over long distance, but talking about the technology. [00:00:26] How do you explai
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quantum-computingWith EU backing, QuantumDiamonds aims to speed up chip manufacturing
The race to produce more chips is on, and Europe is in. ASML, the Dutch company that has a near-monopoly on manufacturing the machines used for chipmaking, may soon no longer be an isolated success story. Like its U.S. counterpart, the European Chips Act aims to foster the semiconductor industry — in part thanks to state subsidies. One of the beneficiaries is QuantumDiamonds, a German startup that applies a novel approach to inspecting chips. With the approval of the European Commission, it has been granted €76 million in non-dilutive funding provided by Germany’s federal economy ministry and the state of Bavaria. The startup will use it to set up a new facility for the production of semiconductor testing equipment in Munich as part of a $178 million investment plan it had already announced. A spinout from the Technical University of Munich (TUM), QuantumDiamonds has also raised a €15 million equity round led by VC firm World Fund, TechCrunch learned exclusively. The company declined to disclose its valuation, but said its round was also backed by Bayern Kapital and existing investors including Creator Fund, Earlybird, First Momentum, IQ Capital, Onsight Ventures, and UnternehmerTUM. CEO Kevin Berghoff told TechCrunch that raising the round was a fairly quick process, as QuantumDiamonds was able to demonstrate customer pull. “We work with almost everyone in the chip ecosystem,” he said. With huge demand for all kinds of chips, there’s just as much demand for solutions to speed up the manufacturing process and improve the output. By compressing a defect detection process that usually takes weeks into a two-minute inspection that doesn’t stop production lines, QuantumDiamonds claims that it can help the likes of Taiwan-based Foundries and Korea’s Memory Makers save hundreds of millions of dollars. This means that its hardware is typically paid back entirely within a couple of months, Berghoff said. It also leaves room to cover the subscription fee that the start
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quantum-computingBTQ Technologies Finalizes Full Acquisition of QPerfect to Establish Unified Quantum Infrastructure and Security Ecosystem
BTQ Technologies Finalizes Full Acquisition of QPerfect to Establish Unified Quantum Infrastructure and Security Ecosystem BTQ Technologies Corp. (Nasdaq: BTQ | Cboe CA: BTQ) has officially finalized its full acquisition of French quantum software developer QPerfect SA. Following the receipt of regulatory foreign direct investment (FDI) clearance from the French Ministry for the Economy and Finance, BTQ exercised its definitive option to absorb the remaining outstanding securities of the Strasbourg-based deep-tech startup, rendering QPerfect a wholly owned corporate subsidiary. The transaction integration links BTQ’s existing post-quantum cryptography (PQC) validation structures with QPerfect’s specialized hardware modeling, software emulation, and automation frameworks to deliver a combined, quantum-ready network architecture. [ BTQ - QPerfect Transaction Close Matrix ] Subsidiary Status ──► QPerfect SA finalized as a wholly owned subsidiary of BTQ Technologies Corp. Regulatory Baseline ──► Executed under the June 18, 2026 Prospectus and French FDI sovereign mandates. Core Software Stack ──► MIMIQ™ quantum emulator, Digital Twin modeling, and Quantum Logical Unit (QLU). Integration Mandate ──► Hardening defense, telecom, and critical infrastructure against quantum-enabled risks. The completion of the acquisition allows BTQ to directly monetize and deploy QPerfect’s three proprietary software pillars into industrial networks requiring post-quantum transition verification. The primary layer, MIMIQ™, functions as a high-density software emulator capable of running stable 100+ qubit circuit simulations on conventional classical computing systems to benchmark next-generation Transport Layer Security (TLS) handshakes and stress-test PQC protocol resilience under severe network overhead. This is paired with the Digital Twin framework, which generates software-based structural representations of neutral-atom processors to optimize physical layouts prior to cleanroom fabric
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quantum-computingEnlarging the GKP stabilizer group for enhanced noise protection
AbstractEncoding a qubit in a larger Hilbert space of an oscillator is an efficient way to protect its quantum information against decoherence. Promising examples of such bosonic encodings are the Gottesman-Kitaev-Preskill (GKP) codes. In this work, we investigate how redefining the stabilizer group of the GKP codes to include all operations with trivial action on the code space can contribute to the search for an optimal implementation of a logical circuit when it is affected by noise. We find the generators of the Gaussian stabilizer group, allowing us to search for different physical implementations of a Clifford operation. We then propose an algorithm that finds the optimal implementation of a given logical Clifford circuit on GKP codes, such that the state is less affected by loss errors during the computation. Finally, we demonstrate numerically, with logical randomized benchmarking, that such a compiler can increase the lifetime of square-GKP qubits while running Clifford circuits, compared to a random walk compiler.► BibTeX data@article{Pelletier2026enlarginggkp, doi = {10.22331/q-2026-07-08-2156}, url = {https://doi.org/10.22331/q-2026-07-08-2156}, title = {Enlarging the {GKP} stabilizer group for enhanced noise protection}, author = {Pelletier, Jonathan and Royer, Baptiste}, journal = {{Quantum}}, issn = {2521-327X}, publisher = {{Verein zur F{\"{o}}rderung des Open Access Publizierens in den Quantenwissenschaften}}, volume = {10}, pages = {2156}, month = jul, year = {2026} }► References [1] V. V. Sivak, A. Eickbusch, B. Royer, S. Singh, I. Tsioutsios, S. Ganjam, A. Miano, B. L. Brock, A. Z. Ding, L. Frunzio, S. M. Girvin, R. J. Schoelkopf, and M. H. Devoret. ``Real-time quantum error correction beyond break-even''. Nature 616, 50–55 (2023). arXiv:2211.09116. https://doi.org/10.1038/s41586-023-05782-6 arXiv:2211.09116 [2] Dany Lachance-Quirion, Marc-Antoine Lemonde, Jean Olivier Simoneau, Lucas St-Jean, Pascal Lemieux, Sara Turcotte, Wyatt Wright, Amél
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quantum-computingResourcefulness of non-classical continuous-variable quantum gates
AbstractIn continuous-variable quantum computation, identifying key elements that enable a quantum computational advantage is a long-standing issue. Starting from the standard results on the necessity of Wigner negativity, we develop a comprehensive and versatile approach in which the techniques of $(s)$-ordered quasiprobabilities are exploited to provide rigorous statements on the simulability of photonic quantum circuits consisting of previously characterized gates and thereby identifying the contribution of each quantum gate to the potential achievement of quantum computational advantage. This is achieved by means of an analysis of the so-called transfer function, allowing us to highlight the resourcefulness of a gate set. As such this technique can be straightforwardly applied to current continuous-variables quantum circuits, while also constraining the tolerable amount of losses above which any potential quantum advantage can be ruled out. We use $(s)$-ordered quasiprobability distributions on phase-space to capture the non-classical features in the protocol, and focus our technique entirely on the ordering parameter $s$. This allows us to highlight the resourcefulness and robustness to loss of a universal set of unitary gates comprising three distinct Gaussian gates and any non-Gaussian unitary gate, providing important insight on the role of non-Gaussianity.Featured image: Generic quantum-optical scheme depicted by $M$ input modes, described by a density operator $\rho_{\mathrm{in}}$ processed through a trace-preserving quantum channel $\mathcal{E}$, that can be decomposed into a sequence of trace-preserving quantum channels $\mathcal{E} = \mathcal{E}_1 \circ \mathcal{E}_2 \circ \dots \circ \mathcal{E}_k$. This produces the output state $\rho_{out} = \mathcal{E}(\rho_{in})$ and an output probability distribution $p({x}) = Tr[\rho_{out}\Pi_{{x}}]$ sampled by measuring the POVM $\Pi_{{x}}$.Popular summaryAmong the different platforms being explored for quantum
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quantum-computingExploring Imaginary Coordinates: Disparity in the Shape of Quantum State Space in Even and Odd Dimensions
AbstractThe state of a finite-dimensional quantum system is described by a density matrix that can be decomposed into a real diagonal, a real off-diagonal and and an imaginary off-diagonal part. The latter plays a peculiar role. While it is intuitively clear that some of the imaginary coordinates cannot have the same extension as their real counterparts the precise relation is not obvious. We give a complete characterization of the constraints in terms of tight inequalities for real and imaginary Bloch-type coordinates. Our description entails a three-dimensional Bloch ball-type model for the state space. We uncover a surprising qualitative difference for the state-space boundaries in even and odd dimensions.Featured image: The figure shows the restrictions of the real ($S_\text{X}$ and $S_\text{D}$) and imaginary ($S_\text{I}$) components of a quantum system in dimension 5. While the real components (diagonal and off-diagonal) are only bounded by the total Bloch length, the imaginary component obeys a stricter constraint.Popular summaryOne of the distinguishing features of quantum theory is that a system can exist in a superposition of two distinct states. Such a superposition is itself a valid quantum state, making the quantum state space much larger than its classical counterpart. This can be illustrated in the three-dimensional Bloch sphere, which represents the set of pure states of the simplest two-level quantum system, the qubit. While there are only two "classical" states, they are connected by a continuous family of superposition states. The position of a state on the Bloch sphere is determined by the relative weights of the two basis states their complex phase difference. A similar picture emerges in higher dimensions: the set of pure states consists of all possible superpositions of the classical basis states. However, an important difference arises. Although pure states still lie on a high-dimensional sphere, they no longer occupy it completely. As a res
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quantum-computingU.S. National Science Foundation Launches Project Triad to Unify Quantum sensing, Networking, and Computing
U.S. National Science Foundation Launches Project Triad to Unify Quantum sensing, Networking, and Computing The U.S. National Science Foundation (NSF) has launched Project Triad, a multi-tiered federal initiative designed to combine quantum sensing, quantum networking, and quantum computing into a single, cohesive operational architecture. In alignment with the executive order “Ushering in the Next Frontier of Quantum Innovation,” the project shifts quantum information science away from isolated laboratory experiments and into real-world application pipelines. The program establishes an integrated informational ecosystem designed to maintain quantum coherence across data acquisition, transit, and processing stages to support defense, manufacturing, healthcare, and economic infrastructure. [ NSF Project Triad Component Grid ] NSF NQVL ──► Proof-of-concept integrated testing beds; design-to-implementation by Dec 2026. NSF X-Labs ──► Milestone-based engineering units optimizing interconnects and photonic links. NSF Quantum+X ──► Direct industry-partnered tracks across biotechnology, energy, and finance. System Objective ──► Unified operational environment integrating sensing, networking, and computation. The physical integration of these three quantum pillars overcomes a primary engineering bottleneck: the loss of quantum information during translation between different devices. By implementing a synchronized system-wide framework, Project Triad enables field-deployable applications that are unachievable through standalone classical or quantum devices. In GPS-denied or highly contested environments, the system pairs high-sensitivity quantum sensors with encrypted quantum network links to maintain secure, localized positioning, navigation, and timing (PNT) data. Concurrently, the architecture supports materials science and natural resource exploration by reducing exploratory drilling footprints through sub-surface density profiling, while advanced biomedical groups util
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quantum-computingBTQ Technologies Gains Quantum Software From 2023 QPerfect Startup
BTQ Technologies has finalized its acquisition of QPerfect, a French quantum computing company founded in 2023, expanding its quantum software capabilities. The July 8, 2026 announcement details the completion of a deal following a prior strategic investment, bringing QPerfect’s MIMIQ quantum emulator, Digital Twin capabilities, and Quantum Logical Unit directly into BTQ’s technology stack. These additions are intended to strengthen BTQ’s mission of “Building Trusted Quantum Technologies” as organizations prepare for the challenges of post-quantum cryptography. BTQ Technologies, traded on both Nasdaq (BTQ) and CBOE CA (BTQ), believes the transition to quantum security will require optimized hardware, software, simulation, and control layers to enable practical deployment at scale. BTQ Acquisition of QPerfect Advances Trusted Quantum Technologies BTQ Technologies’ completion of its acquisition of QPerfect expands the capabilities available for building practical quantum systems, adding crucial software tools for modeling and testing before hardware deployment. The deal, finalized on July 8, 2026, integrates QPerfect’s specialized technologies directly into BTQ’s infrastructure stack, signaling a strategic push toward verifiable and secure quantum networks. Central to this integration is QPerfect’s MIMIQ quantum emulator, a software platform designed to simulate quantum algorithms on conventional computing infrastructure. BTQ reports that MIMIQ has demonstrated the ability to handle simulations of s + qubit, a significant step toward lowering the barrier to large-scale quantum algorithm development and security testing. Beyond emulation, QPerfect’s Digital Twin technology offers a system modeling capability, allowing researchers to simulate and optimize quantum architectures before physical construction, potentially reducing development costs and accelerating timelines. The third key component is QPerfect’s Quantum Logical Unit (QLU), a multi-layered control framework
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