论文标题

量子序列的明确量子态消除

Unambiguous quantum state elimination for qubit sequences

论文作者

Crickmore, Jonathan, Puthoor, Ittoop Vergheese, Ricketti, Berke, Croke, Sarah, Hillery, Mark, Andersson, Erika

论文摘要

量子状态消除测量告诉我们量子系统没有哪些状态。这与国家歧视不同,在该州歧视,其中人们试图确定量子系统的状态是什么,而不是它不是什么。除了具有根本的兴趣外,量子状态消除还可以在量子通信和量子密码学中找到用途。我们考虑两个或多个量子位的明确量子状态消除,其中每个量子都可以在两个可能的状态之一中。给出了消除四个两数分状态中一个和两个状态的最佳测量。我们还证明,如果我们想最大程度地提高消除总体N Qubit状态的平均数量,则每个量子位上的单个测量值是最佳的。

Quantum state elimination measurements tell us what states a quantum system does not have. This is different from state discrimination, where one tries to determine what the state of a quantum system is, rather than what it is not. Apart from being of fundamental interest, quantum state elimination may find uses in quantum communication and quantum cryptography. We consider unambiguous quantum state elimination for two or more qubits, where each qubit can be in one of two possible states. Optimal measurements for eliminating one and two states out of four two-qubit states are given. We also prove that if we want to maximise the average number of eliminated overall N-qubit states, then individual measurements on each qubit are optimal.

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