Symmetric extendibility for a class of qudit states

Details Symmetric extendibility for a class of qudit states Symmetric extendibility for a class of qudit states

2009-06-29

arxiv.org/abs/0906.5255v1

J. Phys. A: Math. Theor. 42 (2009), 425302

Physics

Quantum Physics

12 pages, no figures

Scientific paper

10.1088/1751-8113/42/42/425302

The concept of symmetric extendibility has recently drawn attention in the context of tolerable error rates in quantum cryptography, where it can be used to decide whether quantum states shared between two parties can be purified by means of entanglement purification with one-way classical communication only. Unfortunately, at present there exists no simple general criterion to decide whether a state possesses a symmetric extension or not. In this article we derive criteria for symmetric extendibility within subclasses of all two-qudit states. Using these criteria, we can completely solve the problem for a two-parameter family of two-qudit states, which includes the isotropic states as a subclass.

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