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Quantum de Finetti theorem in phase-space representation

beimu1009 添加于 2009-7-29 21:18 | 1229 次阅读 | 0 个评论

作者
Leverrier A, Cerf NJ
摘要
The quantum versions of de Finetti's theorem derived so far express the convergence of n-partite symmetric states, i.e., states that are invariant under permutations of their n parties, toward probabilistic mixtures of independent and identically distributed (IID) states of the form n. Unfortunately, these theorems only hold in finite-dimensional Hilbert spaces, and their direct generalization to infinite-dimensional Hilbert spaces is known to fail. Here, we address this problem by considering invariance under orthogonal transformations in phase space instead of permutations in state space, which leads to a quantum de Finetti theorem particularly relevant to continuous-variable systems. Specifically, an n-mode bosonic state that is invariant with respect to this continuous symmetry in phase space is proven to converge toward a probabilistic mixture of IID Gaussian states (actually, n identical thermal states). ©2009 The American Physical Society
详细资料
- 文献种类:期刊
- 期刊名称: Physical Review A
- 期刊缩写: Phys. Rev. A
- 期卷页: 2009年第80卷第1期
- ISBN: 1050-2947
标签

de Finetti theorem
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de Finetti theorem? What's this?