Quantum teleportation under non-Hermitian operations, by Yangchen Wu, Huangqiuchen Wang, Zihao Li, Yihao Kang, Bo Liu, Lijiong Shen, Zhe Sun
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SciPost Physics Core Home Authoring Refereeing Submit a manuscript About Quantum teleportation under non-Hermitian operations Yangchen Wu, Huangqiuchen Wang, Zihao Li, Yihao Kang, Bo Liu, Lijiong Shen, Zhe Sun SciPost Phys. Core 9, 017 (2026) · published 23 March 2026 doi: 10.21468/SciPostPhysCore.9.1.017 pdf BiBTeX RIS Submissions/Reports Abstract We investigate the standard quantum teleportation protocol for a single-qubit state, focusing on the scenario where the qubit undergoes a class of non-unitary evolution governed by parity-time ($\mathcal{PT}$)-symmetric non-Hermitian Hamiltonians. Additionally, we examine the case where the entangled pair shared by Alice and Bob is exposed to a noise channel. In the $\mathcal{PT}$-symmetric regime, the teleportation fidelity exhibits time-dependent oscillations. Compared to the conventional case without non-Hermitian operations, periodic enhancements in fidelity are observed, and we analytically derive their dependence on the parameters of both the non-Hermitian Hamiltonian and noise channel. When the $\mathcal{PT}$ symmetry is broken, the fidelity ceases to oscillate and instead decays to a steady value. Notably, even in this regime, non-Hermitian operations can yield fidelity improvements over conventional schemes. We further investigate the teleportation of quantum Fisher information (QFI) and find that its evolutionary behavior differs from that of fidelity. Analytical results reveal that QFIs corresponding to different estimated parameters exhibit distinct outcomes at Bob's receiving end during teleportation. Furthermore, we derive a trade-off inequality between fidelity and QFI, offering a theoretical tool to coordinately optimize these two quantities in the teleportation process. × TY - JOURPB - SciPost FoundationDO - 10.21468/SciPostPhysCore.9.1.017TI - Quantum teleportation under non-Hermitian operationsPY - 2026/03/23UR - https://scipost.org/SciPostPhysCore.9.1.017JF - SciPost Physics CoreJA - SciPost Phys. CoreVL - 9IS - 1SP - 017A1 - Wu, YangchenAU - Wang, HuangqiuchenAU - Li, ZihaoAU - Kang, YihaoAU - Liu, BoAU - Shen, LijiongAU - Sun, ZheAB - We investigate the standard quantum teleportation protocol for a single-qubit state, focusing on the scenario where the qubit undergoes a class of non-unitary evolution governed by parity-time ($\mathcal{PT}$)-symmetric non-Hermitian Hamiltonians. Additionally, we examine the case where the entangled pair shared by Alice and Bob is exposed to a noise channel. In the $\mathcal{PT}$-symmetric regime, the teleportation fidelity exhibits time-dependent oscillations. Compared to the conventional case without non-Hermitian operations, periodic enhancements in fidelity are observed, and we analytically derive their dependence on the parameters of both the non-Hermitian Hamiltonian and noise channel. When the $\mathcal{PT}$ symmetry is broken, the fidelity ceases to oscillate and instead decays to a steady value. Notably, even in this regime, non-Hermitian operations can yield fidelity improvements over conventional schemes. We further investigate the teleportation of quantum Fisher information (QFI) and find that its evolutionary behavior differs from that of fidelity. Analytical results reveal that QFIs corresponding to different estimated parameters exhibit distinct outcomes at Bob's receiving end during teleportation. Furthermore, we derive a trade-off inequality between fidelity and QFI, offering a theoretical tool to coordinately optimize these two quantities in the teleportation process.ER - × @Article{10.21468/SciPostPhysCore.9.1.017, title={{Quantum teleportation under non-Hermitian operations}}, author={Yangchen Wu and Huangqiuchen Wang and Zihao Li and Yihao Kang and Bo Liu and Lijiong Shen and Zhe Sun}, journal={SciPost Phys. Core}, volume={9}, pages={017}, year={2026}, publisher={SciPost}, doi={10.21468/SciPostPhysCore.9.1.017}, url={https://scipost.org/10.21468/SciPostPhysCore.9.1.017},} Ontology / Topics See full Ontology or Topics database. Quantum information Authors / Affiliations: mappings to Contributors and Organizations See all Organizations. 1 Yangchen Wu, 1 Huangqiuchen Wang, 1 Zihao Li, 1 Yihao Kang, 2 Bo Liu, 1 Lijiong Shen, 1 Zhe Sun 1 杭州师范大学 / Hangzhou Normal University 2 Hangzhou City University Funders for the research work leading to this publication National Key Research and Development Program of China (through Organization: Ministry of Science and Technology of the People's Republic of China [MOST]) National Natural Science Foundation of China [NSFC] Natural Science Foundation of Zhejiang Province 杭州师范大学 / Hangzhou Normal University