Berlin 2024 – scientific programme

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QI: Fachverband Quanteninformation

QI 1: Quantum Foundations

QI 1.2: Talk

Monday, March 18, 2024, 10:00–10:15, HFT-FT 101

Causal modeling quantum non-Markovianity — •Leonardo Silva Vieira Santos and Otfried Gühne — University of Siegen

The interaction of every quantum system with its surrounding environment introduces deviations in its temporal evolution from the reversible trajectory predicted by the Schrödinger equation. When one can access the system on a timescale comparable to the characteristic decay time of correlations and excitations in the environment, memory effects (i.e., non-Markovianity) become significant. The question arises: Is there anything inherently non-classical about the evolution of non-Markovian open quantum systems? This question is somewhat non-trivial, as defining what is truly "non-classical" involves subtle considerations. In the realm of quantum correlations, Bell’s theorem stands out as arguably the strongest notion of non-classicality ever discovered and experimentally tested. In this work, we take steps toward establishing Bell-type theorems for the multi-time statistics of non-Markovian open quantum systems. We derive a scalable family of Bell-type inequalities designed to detect the non-classicality of quantum stochastic processes. Our findings demonstrate that the violation of these inequalities serves as a device-independent test for quantum memory – the environment’s memory that cannot be classically simulated.

Keywords: Quantum non-Markovianity; Bell's nonlocality; Quantum stochastic processes; Quantum correlations; Bell inequalities