A Practical Approach to SOS Relaxations for Detecting Quantum Entanglement

Abhishek Bhardwaj ()
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Abhishek Bhardwaj: Australian National University

Journal of Optimization Theory and Applications, 2023, vol. 198, issue 3, No 1, 869-891

Abstract: Abstract This article introduces PnCP, a MATLAB toolbox for constructing positive maps which are not completely positive. We survey optimization and sum of squares relaxation techniques to find the most numerically efficient methods and establish some benchmarks for this construction. We also show how this package can be applied to the problem of classifying entanglement in quantum states.

Keywords: Positive maps; Completely positive maps; Sums of squares; Entanglement; Minimization; 46L07; 13J30; 81P45; 90C22 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s10957-023-02258-5

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