Strong entanglement criteria for mixed states, based on uncertainty relations

• URL: http://arxiv.org/abs/2210.16551v1
• Date: Sat, 29 Oct 2022 10:00:41 GMT
• Title: Strong entanglement criteria for mixed states, based on uncertainty relations
• Authors: Manju Maan, Asoka Biswas, and Shubhrangshu Dasgupta
• Abstract summary: We show that any mixed entangled state can be characterized by our criterion. The proposed criterion reduces to the Schrodinger-Robertson inequality for pure states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose an entanglement criterion, specially designed for mixed states, based on uncertainty relation and the Wigner-Yanase skew information. The variances in this uncertainty relation does not involve any classical mixing uncertainty, and thus turns out to be purely of quantum mechanical nature. We show that any mixed entangled state can be characterized by our criterion. We demonstrate its utility for several generalized mixed entangled state including Werner states and it turns out to be stronger than any other known criterion in identifying the correct domain of relevant parameters for entanglement. The proposed criterion reduces to the Schrodinger-Robertson inequality for pure states.

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