Optimal decompositions of barely separable states
نویسندگان
چکیده
منابع مشابه
Optimal Decompositions of Barely Separable States
Two families of bipartite mixed quantum states are studied for which it is proved that the number of members in the optimal-decomposition ensemble — the ensemble realizing the entanglement of formation — is greater than the rank of the mixed state. We find examples for which the number of states in this optimal ensemble can be larger than the rank by an arbitrarily large factor. In one case the...
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Let Sk be the set of separable states on B(C ⊗ C) admitting a representation as a convex combination of k pure product states, or fewer. If m > 1, n > 1, and k ≤ max (m,n), we show that Sk admits a subset Vk such that Vk is dense and open in Sk, and such that each state in Vk has a unique decomposition as a convex combination of pure product states, and we describe all possible convex decomposi...
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We study certain quantum states for which the PPT criterion is both sufficient and necessary for separability. A class of n × n bipartite mixed states is presented and the conditions of PPT for these states are derived. The separable pure state decompositions of these states are explicitly constructed when they are PPT. Quantum entangled states have become one of the key resources in quantum in...
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Any non-pure quantum state admits an infinity of non-trivial decompositions. A recent proposal how to measure the information content of a quantum state with reference to a given subalgebra of operators, singles out some of them, called optimal decompositions, which depend both on the state and on the subalgebra. In this paper we start exploring their main features.
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ژورنال
عنوان ژورنال: Journal of Modern Optics
سال: 2000
ISSN: 0950-0340,1362-3044
DOI: 10.1080/095003400148277