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Chinese Physics Letters

Realization of Arbitrary Positive-Operator-Value Measurement of Single Atomic Qubit via Cavity QED

韩阳, 吴伟, 吴春旺, 戴宏毅, 李承祖

Published Jan 1, 2008• 0 citations
OpenAlex

Abstract

Positive-operator-value 测量(POVM ) 是量测量的最一般的班。我们建议一个计划到确定的联盟者工具经由由仅仅一附属物的洞证完 catalysed 的单个原子 qubit 的任意的 POVM 原子 qubit。由适当地纠缠二原子 qubits 并且顺序测量附属物 qubit，任何 POVM 能一步一步地被实现。作为我们的计划的应用，为在二个非直角的状态之间的最佳的不含糊的辨别(OUD ) 的特定的 POVM 的实现被给。

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Chinese Physics Letters•Jan 1, 2010•0 citations
Positive-operator-value 测量(POVM ) 是量测量的最一般的班。我们建议一个计划到确定的联盟者工具经由由仅仅一附属物的洞证完 catalysed 的单个原子 qubit 的任意的 POVM 原子 qubit。由适当地纠缠二原子 qubits 并且顺序测量附属物 qubit，任何 POVM 能一步一步地被实现。作为我们的计划的应用，为在二个非直角的状态之间的最佳的不含糊的辨别(OUD ) 的特定的 POVM 的实现被给。
我们建议一个分成三部分的计划为概率地 teleporting 有 four-qubit 的一个任意的 two-qubit 状态簇类的状态和一个钟类的状态作为量隧道。在计划，发送者和控制器在他们的各自的 qubit 对上做钟状态大小(BSM ) 。与他们的测量结果，接收装置能重建原版由介绍二个辅助粒子并且做适当单一的操作和积极珍视操作员的措施(POVM ) 而不是平常的射影的测量概率地说。而且，全部的成功概率和现在的协议的古典通讯费用也被得出。
Positive-operator-value measurement (POVM) is the most general class of quantum measurement. We propose a scheme to deterministically implement arbitrary POVMs of single atomic qubit via cavity QED catalysed by only one ancilla atomic qubit. By appropriately entangling two atomic qubits and sequentially measuring the ancilla qubit, any POVM can be implemented step by step. As an application of our scheme, the realization of a specific POVM for optimal unambiguous discrimination (OUD) between two nonorthogonal states is given.
We propose a scheme that can realize a class of positive-operator-valued measures (POVMs) by performing a sequence of projective measurements on the original system, in the sense that for an arbitrary input state the probability distribution of the measurement outcomes is faithfully reproduced. A necessary and sufficient condition for a POVM to be realizable in this way is also derived. In contrast to the canonical approach provided by Neumark's theorem, our method has the advantage of requiring no auxiliary system. Moreover, an arbitrary POVM can be realized by utilizing our protocol on an extended space which is formed by adding only a single extra dimension.