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arXiv · 2407.16583

Eventually entanglement breaking divisible quantum dynamics

Krzysztof Szczygielski·Dariusz Chruściński
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Abstract

It is shown that a large class of quantum dynamical maps on complex matrix algebras governed by time-local Master Equations tend to become entanglement breaking in the course of time. Such situation seems to be generic for quantum evolution and in particular, completely positive dynamical semigroups with a unique faithful stationary state enjoy this property. Inspired by this observation, we propose a new concept of eventually entanglement breaking divisible (eEB-divisible) dynamics. A dynamical map is eEB-divisible if any propagator becomes entanglement breaking in finite time. It turns out that eEB-divisibility is quite general and holds for a large class of quantum evolutions.

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Krzysztof Szczygielski, Dariusz Chruściński. 2024-07-23. Eventually entanglement breaking divisible quantum dynamics. https://doi.org/10.1088/1751-8121/ad9368

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