Quantum states with a positive partial transpose are useful for metrology

• URL: http://arxiv.org/abs/1709.03995v4
• Date: Mon, 31 Mar 2025 17:16:06 GMT
• Title: Quantum states with a positive partial transpose are useful for metrology
• Authors: Géza Tóth, Tamás Vértesi,
• Abstract summary: We show that multipartite quantum states that have a positive partial transpose can outperform separable states in linear interferometers.<n>We introduce a powerful iterative method to find such states.<n>We find that quantum states that do not violate any Bell inequality can outperform separable states metrologically.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that multipartite quantum states that have a positive partial transpose with respect to all bipartitions of the particles can outperform separable states in linear interferometers. We introduce a powerful iterative method to find such states. We present some examples for multipartite states and examine the scaling of the precision with the particle number. Some bipartite examples are also shown that possess an entanglement very robust to noise. We also discuss the relation of metrological usefulness to Bell inequality violation. We find that quantum states that do not violate any Bell inequality can outperform separable states metrologically. We present such states with a positive partial transpose, as well as with a non-positive positive partial transpose.

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