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- W1965743504 abstract "It is a hard and important problem to find the criterion of a set of positive-definite matrices which can be written as reduced density operators of a multipartite global quantum state. This problem is closely related to the study of many-body quantum entanglement, which is one of the focuses of current quantum-information theory. We give several results on the necessary compatibility relations between a set of reduced and global density matrices, including (i) compatibility conditions for the one-party reduced density matrices of any $({N}_{A}ifmmodetimeselsetexttimesfi{}{N}_{B})$-dimensional bipartite mixed quantum state, (ii) compatibility conditions for the one-party reduced matrices of any $M$-partite quantum states with the dimension ${N}^{ensuremath{bigotimes}M}$, and (iii) compatibility conditions for the two-party reduced density matrixes of $(2ifmmodetimeselsetexttimesfi{}2ifmmodetimeselsetexttimesfi{}2)$-dimensional tripartite mixed quantum state." @default.
- W1965743504 created "2016-06-24" @default.
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- W1965743504 date "2005-05-05" @default.
- W1965743504 modified "2023-10-16" @default.
- W1965743504 title "Compatibility relations between the reduced and global density matrices" @default.
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- W1965743504 doi "https://doi.org/10.1103/physreva.71.052306" @default.
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