Simulating Open Quantum Systems Using Hamiltonian Simulations

Understand

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.