Exact non-Markovian master equations for multiple qubit systems: quantum trajectory approach

TL;DR

This paper derives exact non-Markovian master equations for multiple qubit systems using quantum trajectory methods, enabling precise modeling of quantum memory effects without approximations.

Contribution

It provides a explicit construction of non-Markovian master equations for multi-qubit systems from quantum trajectories, advancing the understanding of quantum memory effects.

Findings

Explicit master equations for three-qubit systems derived

Demonstrated accurate time evolution in non-Markovian regimes

Facilitates investigation of quantum memory effects

Abstract

A wide class of exact master equations for a multiple qubit system can be explicitly constructed by using the corresponding exact non-Markovian quantum state diffusion equations. These exact master equations arise naturally from the quantum decoherence dynamics of qubit system as a quantum memory coupled to a collective colored noisy source. The exact master equations are also important in optimal quantum control, quantum dissipation and quantum thermodynamics. In this paper, we show that the exact non-Markovian master equation for a dissipative N-qubit system can be derived explicitly from the statistical average of the corresponding non-Markovian quantum trajectories. We illustrated our general formulation by an explicit construction of a three-qubit system coupled to a non-Markovian bosonic environment. This multiple qubit master equation offers an accurate time evolution of quantum systems in various domains, and paves a way to investigate the memory effect of an open system in a non-Markovian regime without any approximation.