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Quantum Circuit Design Gate Engineering

Encoding complex-balanced thermalization in quantum circuits

arXiv
Authors: Yiting Mao, Peigeng Zhong, Haiqing Lin, Xiaoqun Wang, Shijie Hu

Year

2026

Paper ID

4071

Status

Preprint

Abstract Read

~2 min

Abstract Words

89

Citations

N/A

Abstract

We propose a protocol for effectively implementing complex-balanced thermalization via Markovian processes on a quantum-circuit platform that couples the system with engineered reservoir qubits. The non-orthogonality of qubit eigenstates facilitates non-uniform heating through a modified Kubo-Martin-Schwinger relation, while simultaneously supports amplification-dissipation dynamics by violating microscopic time-reversibility. This offers a new approach to realizing out-of-equilibrium states at given temperatures. We show two applications of this platform: temporally-correlated dichromatic emission and Liouvillian exception point protected quantum synchronization at finite temperatures, both of which are challenging to achieve with conventional thermal reservoirs.

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  • We propose a protocol for effectively implementing complex-balanced thermalization via Markovian processes on a quantum-circuit platform that couples the system with engineered...

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