SIC-POVMs and Compatibility among Quantum States

SIC-POVMs and Compatibility among Quantum States
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SIC-POVM 和量子态之间的兼容性

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
Blake C. Stacey
Blake C. Stacey
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作者:
Blake C. Stacey

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量子状态的兼容性标准与对称性信息完成量子测量(SIC-POVM)之间存在意外的联系。上下文享有其他有趣的属性。 SIC-POVM和相互无偏的基础,因为量子状态的SIC表示中的计算又阐明了魔术状态量子计算所需的资源,以及为什么隐藏可变模型无法捕获量子力学的活力。
An unexpected connection exists between compatibility criteria for quantum states and Symmetric Informationally Complete quantum measurements (SIC-POVMs). Beginning with Caves, Fuchs and Schack’s "Conditions for compatibility of quantum state assignments", I show that a qutrit SIC-POVM studied in other contexts enjoys additional interesting properties. Compatibility criteria provide a new way to understand the relationship between SIC-POVMs and mutually unbiased bases, as calculations in the SIC representation of quantum states make clear. This, in turn, illuminates the resources necessary for magic-state quantum computation, and why hidden-variable models fail to capture the vitality of quantum mechanics.
DOI: 10.1103/physreva.86.012103
发表时间: 2012-07-10
期刊: PHYSICAL REVIEW A
影响因子: 2.9
作者:
Bartlett, Stephen D.;Rudolph, Terry;Spekkens, Robert W.
通讯作者: Spekkens, Robert W.