Mitsui & Co. and Mitsubishi Electric Benchmark Approximate and Logical QFT on Quantinuum Helios

Mitsui & Co. and Mitsubishi Electric Benchmark Approximate and Logical QFT on Quantinuum Helios Japanese industrial conglomerates Mitsui & Co. and Mitsubishi Electric have published joint experimental benchmarks evaluating the Quantum Fourier Transform (QFT) on Quantinuum’s 98-qubit Helios trapped-ion quantum computer. Detailed in a co-authored white paper (“Experimental Evaluation of the Quantum Fourier Transform on a Trapped-Ion Quantum Computer“), the team executed both physical-qubit approximate QFT and Steane-encoded logical QFT circuits. The experiment evaluates hardware scaling and algorithmic utility across two computational regimes: Physical Qubit Approximate QFT (Up to 98 Qubits): The researchers executed approximate QFT circuits up to the processor’s full 98 physical qubit capacity. By setting the small-angle phase rotation truncation parameter (degs=5), the system preserved a non-zero target-state probability (Ptarget​=0.143 at 98 qubits) while applying leakage-detection (LD) post-selection to mitigate environmental physical errors. Logical QFT with Steane Code (Up to 12 Logical Qubits): Using the 7-qubit Steane error-correcting code ([[7,1,3]]), the team instantiated up to 12 logical qubits across 84 physical qubits. Evaluating error-detection post-selection against active error correction, the team observed that error detection achieved higher logical target-state probabilities (PL​target = 0.934 for 4 logical qubits, 0.774 for 8 logical qubits) at the cost of reduced shot acceptance rates (31% at 8 logical qubits, 8% at 12 logical qubits). Logical T-Gate Implementation Trade-Offs: In a two-logical-qubit QFT test, the team compared non-fault-tolerant direct analog rotations with fault-tolerant code-switching state injection (using 30 physical qubits across quantum Reed-Muller and Steane blocks). Direct analog rotation yielded higher output fidelity under current physical noise levels, highlighting the operational overheads associated with full fault-tolerant gate construction. [ Physical vs. Logical QFT Execution Benchmarks ] │ ┌──────────────────────────────────────┴──────────────────────────────────────┐ ▼ ▼ Physical Approximate QFT (degs=5) Logical QFT (Steane Code) • Executed across 18 to 98 Physical Qubits. • Scaled from 2 to 12 Logical Qubits. • P_target = 0.976 (18q) ➔ 0.143 (98q). • Uses 7 Physical Qubits per Logical Qubit. • Uses Leakage-Detection Post-Selection. • Evaluates Direct Analog vs. Code-Switching T-Gates. The joint research team developed custom quantum error correction software using Quantinuum’s Guppy® hybrid programming language alongside pytket® compilation toolchains, evaluating cross-layer design trade-offs between physical gate noise, code distance overhead, and post-selection acceptance rates. Review the technical white paper via Mitsubishi Electric here, and explore executive insights on the Quantinuum Blog here. August 14, 2026 Mohamed Abdel-Kareem2026-08-14T05:24:08-07:00 Leave A Comment Cancel replyComment Type in the text displayed above Δ This site uses Akismet to reduce spam. Learn how your comment data is processed.