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Quantum Physics

Title: Bounds on the breaking time for entanglement-breaking channels

Abstract: Entanglement-breaking channels are quantum channels transforming entangled states to separable states. Despite a detailed discussion of their operational structure, to be found in the literature, studies on dynamical characteristics of this type of maps are yet limited. We consider one of the basic questions: for Lindblad-type dynamics, when does a given channel break entanglement? We discuss the finite-dimensional case where the quantification of entanglement via entanglement witnesses is utilized. For the general setup, we use the method of quantum speed limit to derive lower bounds on entanglement breaking times in terms of an input state, the dynamical map and the witness operator. Then, with a particular choice of the input state and the entanglement witness, the bounds for the breaking time are turned to solely reflect the characteristics of the dynamics.
Subjects: Quantum Physics (quant-ph)
DOI: 10.1103/PhysRevA.107.022430
Cite as: arXiv:2209.08689 [quant-ph]
  (or arXiv:2209.08689v4 [quant-ph] for this version)

Submission history

From: Fattah Sakuldee [view email]
[v1] Mon, 19 Sep 2022 00:40:40 GMT (23kb)
[v2] Wed, 23 Nov 2022 14:47:13 GMT (382kb,D)
[v3] Mon, 13 Feb 2023 14:11:58 GMT (382kb,D)
[v4] Fri, 24 Feb 2023 13:29:15 GMT (382kb,D)

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