Simulation of open quantum systems via low-depth convex unitary evolutions

Abstract

Simulating physical systems on quantum devices is one of the most promising applications of quantum technology. Current quantum approaches to simulating open quantum systems are still practically challenging on NISQ-era devices, because they typically require ancilla qubits and extensive controlled sequences. In this work, we propose a hybrid quantum-classical approach for simulating a class of open system dynamics called random-unitary channels. These channels naturally decompose into a series of convex unitary evolutions, which can then be efficiently sampled and run as independent circuits. The method does not require deep ancilla frameworks and thus can be implemented with lower noise costs. We implement simulations of open quantum systems up to dozens of qubits and with large channel ranks.

6 pages, 5 figures, updated post publication

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• Exploring the Non-Markovian Dynamics in Depolarizing Maps
• Towards robust variational quantum simulation of Lindblad dynamics via stochastic Magnus expansion
• Simulation of open quantum systems on universal quantum computers
• Probabilistic Unitary Formulation of Open Quantum System Dynamics
• Quantum Simulation via Stochastic Combination of Unitaries