Dynamical Memory Effects in Correlated Quantum Channels

Abstract

Memory effects play a fundamental role in the study of the dynamics of open quantum systems. There exist two conceptually distinct notions of memory discussed for quantum channels in the literature. In quantum information theory quantum channels with memory are characterised by the existence of correlations between successive applications of the channel on a sequence of quantum systems. In open quantum systems theory memory effects arise dynamically during the time evolution of quantum systems, and define non-Markovian dynamics. Here we relate and combine these two different concepts of memory. In particular, we study the interplay between correlations between multiple uses of quantum channels and non-Markovianity as non-divisibility of the $t$-parametrized family of channels defining the dynamical map.

6 pages, 2 figures

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Cited by in corpus (14)

• Quantum coherence of multiqubit states in correlated noisy channels
• Entropic uncertainty relations for Markovian and non-Markovian processes under a structured bosonic reservoir
• Quantum dynamical speedup in correlated noisy channels
• Protecting quantum Fisher information in correlated quantum channels
• Estimating the degree of non-Markovianity using machine learning
• Noise suppression via generalized-Markovian processes
• Using a Lindbladian approach to model decoherence in two coupled nuclear spins via correlated phase-damping and amplitude damping noise channels
• Memory effect on the bidirectional teleportation
• Algorithmic quantum simulation of memory effects
• Facets of correlated non-Markovian channels
• Noise-adapted Quantum Error Correction for Non-Markovian Noise
• Witnessing global memory effects of multiqubit correlated noisy channels by Hilbert-Schmidt speed
• Correlated and Critical Phenomena in Multipartite Quantum Non-Markovianity
• Invariance of success probability in Grover's quantum search under local noise with memory