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arXiv 0707.4428quant-ph
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只有n比特Greenberger-Horne-Zeilinger态不确定于其约化密度矩阵

Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices

Scott N. Walck, David W. Lyons

摘要:

广义n比特Greenberger-Horne-Zeilinger(GHZ)态及其局域幺正等价态是n个量子比特中唯一不能由n-1个量子比特的约化密度矩阵在纯态中唯一确定的态。因此,在纯态中,广义GHZ态是唯一包含n方信息的态。指出了局部酉稳定子群与由约化密度矩阵决定的性质之间的联系。

英文摘要:

The generalized n-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only states of n qubits that are not uniquely determined among pure states by their reduced density matrices of n-1 qubits. Thus, among pure states, the generalized GHZ states are the only ones containing information at the n-party level. We point out a connection between local unitary stabilizer subgroups and the property of being determined by reduced density matrices.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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