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Gantmacher F R 1958 Matrizenrechnung
1958
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Gottesman D and Lo H-K 2003 IEEE Trans. Inf. Theory
2003
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Terhal B M, Doherty A C and Schwab D 2003 Phys. Rev. Lett
2003
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Chau H F 2005 IEEE Trans. Inf. Theory
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Ranade K S and Alber G 2007 J. Phys. A: Math. Theor
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Myhr G O and Lütkenhaus N 2008 Preprint
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2008
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Then

Myhr G O, Renes J M, Doherty A C and Lütkenhaus N 2009 Phys. Rev. A
2009
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Ranade K S 2009 Preprint
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2009
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Ranade K S 2009 Quantenkryptographie in endlichdimensionalen Systemen PhD thesis
2009
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2009

Symmetric extendibility for a class of qudit states

Ranade, Kedar S.

Understand

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.