Simulating Open Quantum Systems Using Hamiltonian Simulations

Ding, Zhiyan; Li, Xiantao; Lin, Lin

doi:10.1103/PRXQuantum.5.020332

Simulating Open Quantum Systems Using Hamiltonian Simulations

Journal Article · Fri May 10 00:00:00 EDT 2024 · PRX Quantum

DOI:https://doi.org/10.1103/PRXQuantum.5.020332· OSTI ID:2349188

; Li, Xiantao; Lin, Lin

We present a novel method to simulate the Lindblad equation, drawing on the relationship between Lindblad dynamics, stochastic differential equations, and Hamiltonian simulations. We derive a sequence of unitary dynamics in an enlarged Hilbert space that can approximate the Lindblad dynamics up to an arbitrarily high order. This unitary representation can then be simulated using a quantum circuit that involves only Hamiltonian simulation and tracing out the ancilla qubits. There is no need for additional postselection in measurement outcomes, ensuring a success probability of one at each stage. Our method can be directly generalized to the time-dependent setting. We provide numerical examples that simulate both time-independent and time-dependent Lindbladian dynamics with accuracy up to the third order.

Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

OSTI ID:: 2349188

Journal Information:: PRX Quantum, Journal Name: PRX Quantum Journal Issue: 2 Vol. 5; ISSN 2691-3399; ISSN PQRUAG

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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