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Mapping Bloch-Redfield dynamics into a unitary gate-based quantum algorithm
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DOI：10.1039/D5DD00405E.png)
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Abstract
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Recent progress in quantum computation has allowed for the simulation of dissipative quantum dynamics on current noisy quantum hardware. While most of these algorithms currently rely on phenomenological frameworks; microscopic approaches offer essential insights into various relaxation processes. Within classical simulation; the Bloch-Redfield equation serves as a microscopic method for modeling relaxation dynamics with applications in quantum information science and spintronics. Here; we utilize a diagonal dilation approach to map the Bloch-Redfield master equation in Liouville space into a compact set of circuits to simulate the dissipation of a spin system; akin to a dissipative process for a single molecule magnet. We demonstrate this algorithm in a variety of parameter regimes; including at different temperatures and external magnetic field strengths; on both quantum simulators and IonQ's Aria-1 quantum computer. This work broadens the scope of dissipative dynamics simulatable on quantum platforms.
Keywords:
Bloch-Redfield equation
dissipative quantum dynamics
quantum simulation
unitary gate-based algorithm
spin systems
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