References & Citations
Quantum Physics
Title: Simulating Open Quantum Systems Using Hamiltonian Simulations
(Submitted on 27 Nov 2023 (v1), last revised 24 Apr 2024 (this version, v3))
Abstract: 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.
Submission history
From: Zhiyan Ding [view email][v1] Mon, 27 Nov 2023 04:38:13 GMT (1326kb,D)
[v2] Sun, 10 Mar 2024 22:02:43 GMT (1336kb,D)
[v3] Wed, 24 Apr 2024 20:53:43 GMT (1264kb,D)
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