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

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.

References in corpus (10)

• Finite-Time Disentanglement via Spontaneous Emission
• Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
• Non-Markovian effects on the dynamics of entanglement
• Dark periods and revivals of entanglement in a two qubit system
• Dynamics of the entanglement between two oscillators in the same environment
• Exact Master Equation and Quantum Decoherence of Two Coupled Harmonic Oscillators in a General Environment
• Non-Markovian Quantum Trajectories Versus Master Equations: Finite Temperature Heat Bath
• Non-Markovian Relaxation of a Three-Level System: Quantum Trajectory Approach
• Non-Markovian entanglement dynamics of quantum continuous variable systems in thermal environments
• Quantum Decoherence of Two Qubits