Open system model for quantum dynamical maps with classical noise and corresponding master equations

Abstract

We show how random unitary dynamics arise from the coupling of an open quantum system to a static environment. Subsequently, we derive a master equation for the reduced system random unitary dynamics and study three specific cases: commuting system and interaction Hamiltonians, the short-time limit, and the Markov approximation.

5 pages, 1 figure

References in corpus (10)

• Experimental control of the transition from Markovian to non-Markovian dynamics of open quantum systems
• Scalable Noise Estimation with Random Unitary Operators
• Quantum Lost and Found
• Non-Markovian random unitary qubit dynamics
• Non-Markovianity degree for random unitary evolution
• On Random Unitary Channels
• On the minimum number of unitaries needed to describe a random-unitary channel
• Incoherent ensemble dynamics in disordered systems
• Additivity and Distinguishability of Random Unitary Channels
• Lindblad equation for the decay of entanglement due to atmospheric scintillation

Cited by in corpus (3)

• Protecting quantum coherences from static noise and disorder
• Effects of symmetry breaking of the structurally-disordered Hamiltonian ensembles on the anisotropic decoherence of qubits
• Precession-induced nonclassicality of the free induction decay of NV centers by a dynamical polarized nuclear spin bath