量子密码学中量子比特的对称可扩性和可容忍错误率
Symmetric extendibility for qudits and tolerable error rates in quantum cryptography
摘要：
量子态的对称可扩展性最近在量子密码学的上下文中引起了注意，以判断在两个远距离方之间共享的量子态是否可以借助于单向纠错协议来纯化。在这篇文章中，我们研究了一类特殊的两量子态的对称可扩性。e.的状态组成的两个D-水平系统，为了找到上界的容许错误率的一个广泛的类基于量子点的量子密码协议使用双向纠错。在重要的情况下，这些界限与以前已知的下限相一致，从而证明了这些界限在任意有限维系统中的清晰度。
英文摘要：
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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