Local disclosure of quantum memory in non-Markovian dynamics

Abstract

Non-Markovian processes may arise in physics due to memory effects of environmental degrees of freedom. For quantum non-Markovianity, it is an ongoing debate to clarify whether such memory effects have a verifiable quantum origin, or whether they might equally be modeled by a classical memory. In this contribution, we propose a criterion to test locally for a truly quantum memory. The approach is agnostic with respect to the environment, as it solely depends on the local dynamics of the system of interest. Experimental realizations are particularly easy, as only single-time measurements on the system itself have to be performed. We study memory in a variety of physically motivated examples, both for a time-discrete case, and for time-continuous dynamics. For the latter, we are able to provide an interesting class of non-Markovian master equations with classical memory that allows for a physically measurable quantum trajectory representation.

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Cited by in corpus (10)

• Causal and Non-Causal Revivals of Information: A New Regime of Non-Markovianity in Quantum Stochastic Processes
• Machine learning of quantum channels on NISQ devices
• Hamiltonian characterisation of multi-time processes with classical memory
• Reproducing Kernel Hilbert Space Approach to Non-Markovian Quantum Stochastic Models
• Entanglement-breaking channels are a quantum memory resource
• Entropic witness for quantum memory in open system dynamics
• Correlated and Critical Phenomena in Multipartite Quantum Non-Markovianity
• Verifying Quantum Memory in the Dynamics of Spin Boson Models
• Divisibility of dynamical maps: Schrödinger vs. Heisenberg picture
• Superactivation of memory effects in a classical Markov environment