Bipartite quantum state discrimination and decomposable entanglement witness

• URL: http://arxiv.org/abs/2212.10799v2
• Date: Wed, 17 May 2023 00:33:48 GMT
• Title: Bipartite quantum state discrimination and decomposable entanglement witness
• Authors: Donghoon Ha, Jeong San Kim
• Abstract summary: We consider bipartite quantum state discrimination using positive-partial-transpose measurements. We show that minimum-error discrimination by positive-partial-transpose measurements is closely related to entanglement witness.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We consider bipartite quantum state discrimination using positive-partial-transpose measurements and show that minimum-error discrimination by positive-partial-transpose measurements is closely related to entanglement witness. By using the concept of decomposable entanglement witness, we establish conditions on minimum-error discrimination by positive-partial-transpose measurements. We also provide conditions on the upper bound of the maximum success probability over all possible positive-partial-transpose measurements. Finally, we illustrate our results using examples of multidimensional bipartite quantum states.

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