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引用次数: 0
摘要
在本报告中,我们提出了一个在 m 量子位寄存器上实现任意 n 结果广义量子测量 (POVM) 的框架,即只需要单个辅助量子位的双结果测量序列。我们的程序为两结果部分测量提供了一种特殊结构,它可以在任何门架构上组成测量的完整实现。这种实现方式一般需要经典反馈;我们介绍了不需要经典反馈的具体情况。我们将这一框架应用于无歧义状态判别,并分析可能的策略。在最简单的情况下,如果我们选择先执行结论性测量,就能得到与已知结构相同的结构。不过,它也提供了一种可能性,即先对其中一种状态结果进行测量,然后再进行结论测量。这显示了所提出框架的灵活性,并为进一步优化提供了可能性。我们还讨论了有偏量子比特的情况,以及在更高维度上进行无歧义量子态判别的一般情况。
General measurements with limited resources and their application to quantum unambiguous state discrimination
In this report, we present a framework for implementing an arbitrary n-outcome generalized quantum measurement (POVM) on an m-qubit register as a sequence of two-outcome measurements requiring only single ancillary qubit. Our procedure offers a particular construction for the two-outcome partial measurements which can be composed into a full implementation of the measurement on any gate architecture. This implementation in general requires classical feedback; we present specific cases when this is not the case. We apply this framework on the unambiguous state discrimination and analyze possible strategies. In the simplest case, it gives the same construction as is known, if we opt for performing conclusiveness measurement first. However, it also offers possibility of performing measurement for one of the state outcomes first, leaving conclusiveness measurement for later. This shows flexibility of presented framework and opens possibilities for further optimization. We present discussion also on biased qubit case as well as general case of unambiguous quantum state discrimination in higher dimension.
期刊介绍:
Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.