Quantum Error Mitigation Simulates General Non-Hermitian Dynamics

Fuente: arXiv
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Auteurs principaux: Kuji, Hiroki, Endo, Suguru, Nikuni, Tetsuro, Hamazaki, Ryusuke, Matsuzaki, Yuichiro
Format: Preprint
Publié: 2026
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author Kuji, Hiroki
Endo, Suguru
Nikuni, Tetsuro
Hamazaki, Ryusuke
Matsuzaki, Yuichiro
author_facet Kuji, Hiroki
Endo, Suguru
Nikuni, Tetsuro
Hamazaki, Ryusuke
Matsuzaki, Yuichiro
contents While non-Hermitian Hamiltonians enable exotic dynamical phenomena, implementing their nonunitary time evolution on near-term quantum devices remains challenging. We propose a hardware-friendly protocol that simulates non-Hermitian dynamics without continuous monitoring. Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) evolution via classical Gaussian white-noise averaging and to subsequently cancel the quantum-jump contribution at the level of the measured observable using stochastic quantum error mitigation (QEM). The scheme requires no ancillas or controlled time-evolution, while the mitigation layer uses only single-qubit operations. We validate the method through numerical simulations of a model with asymmetric hopping, interaction, and disorder. Our work provides a programmable and ancilla-free framework investigating exotic dynamics that are not completely-positive and trace-preserving using QEM.
format Preprint
id arxiv_https___arxiv_org_abs_2602_21879
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Quantum Error Mitigation Simulates General Non-Hermitian Dynamics
Kuji, Hiroki
Endo, Suguru
Nikuni, Tetsuro
Hamazaki, Ryusuke
Matsuzaki, Yuichiro
Quantum Physics
Disordered Systems and Neural Networks
While non-Hermitian Hamiltonians enable exotic dynamical phenomena, implementing their nonunitary time evolution on near-term quantum devices remains challenging. We propose a hardware-friendly protocol that simulates non-Hermitian dynamics without continuous monitoring. Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) evolution via classical Gaussian white-noise averaging and to subsequently cancel the quantum-jump contribution at the level of the measured observable using stochastic quantum error mitigation (QEM). The scheme requires no ancillas or controlled time-evolution, while the mitigation layer uses only single-qubit operations. We validate the method through numerical simulations of a model with asymmetric hopping, interaction, and disorder. Our work provides a programmable and ancilla-free framework investigating exotic dynamics that are not completely-positive and trace-preserving using QEM.
title Quantum Error Mitigation Simulates General Non-Hermitian Dynamics
topic Quantum Physics
Disordered Systems and Neural Networks
url https://arxiv.org/abs/2602.21879