Symmetric extendibility for qudits and tolerable error rates in quantum cryptography

Details Symmetric extendibility for qudits and tolerable error rates in quantum cryptography Symmetric extendibility for qudits and tolerable error rates in quantum cryptography

2009-05-31

arxiv.org/abs/0906.0163v1

Phys. Rev. A 80 (No. 2, August 2009), 022301

Physics

Quantum Physics

4 pages, no figures

Scientific paper

10.1103/PhysRevA.80.022301

Symmetric extendibility of quantum states has recently drawn attention in the context of quantum cryptography to judge whether quantum states shared between two distant parties can be purified by means of one-way error correction protocols. In this letter we study the symmetric extendibility in a specific class of two-qudit states, i. e. states composed of two d-level systems, in order to find upper bounds on tolerable error rates for a wide class of qudit-based quantum cryptographic protocols using two-way error correction. In important cases these bounds coincide with previously known lower bounds, thereby proving sharpness of these bounds in arbitrary finite-dimensional systems.

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