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Simulating Open Quantum Systems Using Hamiltonian Simulations
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DOI：10.1103/PRXQuantum.5.020332.png)
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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.
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919
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