Quantum Simulation of Dissipative Processes without Reservoir Engineering

TL;DR

This paper introduces a quantum algorithm capable of simulating both Markovian and non-Markovian dissipative quantum processes without the need for reservoir engineering, broadening the scope of quantum simulations.

Contribution

The authors develop a novel quantum algorithm that simulates Lindblad dynamics directly, avoiding the complex engineering of system-environment interactions.

Findings

The method accurately simulates dissipative quantum dynamics.

Error bounds are provided to quantify simulation accuracy.

Applicable to non-Hermitian Hamiltonian dynamics.

Abstract

We present a quantum algorithm to simulate general finite dimensional Lindblad master equations without the requirement of engineering the system-environment interactions. The proposed method is able to simulate both Markovian and non-Markovian quantum dynamics. It consists in the quantum computation of the dissipative corrections to the unitary evolution of the system of interest, via the reconstruction of the response functions associated with the Lindblad operators. Our approach is equally applicable to dynamics generated by effectively non-Hermitian Hamiltonians. We confirm the quality of our method providing specific error bounds that quantify itss accuracy.