6533b85ffe1ef96bd12c1d1c

RESEARCH PRODUCT

Non-Markovianity and memory of the initial state

Mari Carmen BañulsMargarida HinarejosArmando PérezInés De Vega

subject

Statistics and ProbabilityQuantum PhysicsComputer sciencemedia_common.quotation_subjectMeasure (physics)General Physics and AstronomyFidelityFOS: Physical sciencesStatistical and Nonlinear PhysicsState (functional analysis)01 natural sciencesQuantum memory010305 fluids & plasmasConnection (mathematics)Open quantum systemModeling and SimulationQubit0103 physical sciencesStatistical physics010306 general physicsQuantum Physics (quant-ph)Mathematical Physicsmedia_common

description

We explore in a rigorous manner the intuitive connection between the non-Markovianity of the evolution of an open quantum system and the performance of the system as a quantum memory. Using the paradigmatic case of a two-level open quantum system coupled to a bosonic bath, we compute the recovery fidelity, which measures the best possible performance of the system to store a qubit of information. We deduce that this quantity is connected, but not uniquely determined, by the non-Markovianity, for which we adopt the BLP measure proposed in \cite{breuer2009}. We illustrate our findings with explicit calculations for the case of a structured environment.

https://dx.doi.org/10.48550/arxiv.1606.01185