CvxOptSLOCC

This collection of MATLAB files aims to prove separability or membership in a certain SLOCC entanglement class for a given multiparticle quantum state, see test_SEP_rhoPH.m for an example. It is also able to perform the likelihood-ratio test, see test_LRT_rhoPH.m for a demonstration.

• test_SEP_rhoPH Test for separability, using the 3x3 bound entangled states by P. Horodecki.
• test_LRT_rhoPH.m Demonstration of the likelihood-ratio test (LRT), using the 3x3 bound entangled states by P. Horodecki.
• apg_Gilbert.m The apg_Gilbert algorithm.
• dg_Gilbert.m The dg_Gilbert algorithm.
• Gilbert_SLOCC.m The Gilbert_SLOCC algorithm.
• qmt.m Quantum measurement transform.
• WSLOCCMaxG.m W-state SLOCC maximization (n-parties).
• RandomLocalUnitary.m Random local unitary (uniform with respect to the Haar measure).
• ShuffleInit.m Permutation of matrix generation (AB....YZ --> ZAB....Y).

Reference

If you are using the source codes for your research, please consider citing:

• J. Shang and O. Gühne, "Convex Optimization over Classes of Multiparticle Entanglement," Phys. Rev. Lett. 120, 050506 (2018).

License

MIT License

Copyright (c) 2017-2018 Jiangwei Shang and Otfried Gühne

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