Symmetric extendibility for qudits and tolerable error rates in quantum cryptography

Abstract

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.

4 pages, no figures

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Cited by in corpus (7)

• Experimental generation and characterization of single-photon hybrid ququarts based on polarization-orbital angular momentum encoding
• Symmetric Extension of Two-Qubit States
• General Quantum Key Distribution in Higher Dimension
• Symmetric extension of bipartite quantum states and its use in quantum key distribution with two-way postprocessing
• Symmetric extendibility for a class of qudit states
• Sufficient condition for nonexistence of symmetric extension of qudits using Bell inequalities
• Exchange-Symmetrized Qudit Bell Bases and Bell-State Distinguishability