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This research presents a scalable protocol for simulating non-Hermitian quantum dynamics using only single-qubit operations and classical noise averaging, eliminating the need for ancilla qubits or complex monitoring circuits. By leveraging stochastic quantum error mitigation to cancel quantum-jump contributions, the method offers a practical pathway for near-term devices to investigate exotic physics beyond standard unitary evolution. The approach significantly reduces hardware demands while maintaining accuracy in expectation values, addressing a key bottleneck in current quantum simulation capabilities.
Quantum error mitigation may simulate complex physics without extra qubits

Non-Hermitian Hamiltonians enable exotic dynamical phenomena, but implementing their nonunitary time evolution on near-term quantum devices remains challenging. Researchers propose a hardware-friendly protocol that simulates non-Hermitian dynamics without ancillas, controlled time evolution, or continuous monitoring, combining classical Gaussian white-noise averaging with stochastic quantum error mitigation.
Hiroki Kuji of Tokyo University of Science and colleagues have developed a new protocol that simulates complex physics governed by non-Hermitian Hamiltonians without requiring additional qubits. The work combines a Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) evolution with stochastic quantum error mitigation (QEM) to model these systems on near-term quantum devices, a feat previously hindered by the need for ancilla qubits, controlled time evolution and continuous monitoring. The error mitigation layer relies solely on single-qubit operations, offering a potentially scalable approach to investigating exotic dynamics beyond standard quantum mechanics. The researchers validated their method through simulations of asymmetric-hopping models and open XXZ spin chains. This approach allows for the simulation of non-Hermitian dynamics without relying on deep circuits requiring controlled unitary primitives or additional qubits, addressing a significant challenge for near-term quantum devices. A key feature of this work is the exclusive use of single-qubit operations…
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