Encoding complex-balanced thermalization in quantum circuits

• URL: http://arxiv.org/abs/2601.04998v1
• Date: Thu, 08 Jan 2026 14:58:38 GMT
• Title: Encoding complex-balanced thermalization in quantum circuits
• Authors: Yiting Mao, Peigeng Zhong, Haiqing Lin, Xiaoqun Wang, Shijie Hu,
• Abstract summary: We propose a protocol for effectively implementing complex-balanced thermalization via Markovian processes on a quantum-circuit platform.<n>We show two applications of this platform: temporally-correlated dichromatic emission and Liouvillian exception point protected quantum synchronization at finite temperatures.
• Score: 2.6587175537360133
• License: http://creativecommons.org/licenses/by/4.0/
• 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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