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- W2012167332 abstract "We consider a bipartite mixed state of the form $ensuremath{rho}={ensuremath{sum}}_{ensuremath{alpha},ensuremath{beta}=1}^{l}{a}_{ensuremath{alpha}ensuremath{beta}}ensuremath{mid}{ensuremath{psi}}_{ensuremath{alpha}}⟩⟨{ensuremath{psi}}_{ensuremath{beta}}⟩$, where $ensuremath{mid}{ensuremath{psi}}_{ensuremath{alpha}}⟩$ are normalized bipartite state vectors, and matrix $({a}_{ensuremath{alpha}ensuremath{beta}})$ is positive semidefinite. We provide a necessary and sufficient condition for the state $ensuremath{rho}$ taking the form of maximally correlated states by a local unitary transformation. More precisely, we give a criterion for simultaneous Schmidt decomposability of $ensuremath{mid}{ensuremath{psi}}_{ensuremath{alpha}}⟩$ for $ensuremath{alpha}=1,2,dots{},l$. Using this criterion, we can judge completely whether or not the state $ensuremath{rho}$ is equivalent to the maximally correlated state, in which the distillable entanglement is given by a simple formula. For generalized Bell states, this criterion is written as a simple algebraic relation between indices of the states. We also discuss the local distinguishability of the generalized Bell states that are simultaneously Schmidt decomposable." @default.
- W2012167332 created "2016-06-24" @default.
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- W2012167332 date "2004-09-22" @default.
- W2012167332 modified "2023-09-25" @default.
- W2012167332 title "Finding a maximally correlated state: Simultaneous Schmidt decomposition of bipartite pure states" @default.
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- W2012167332 doi "https://doi.org/10.1103/physreva.70.030302" @default.
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