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1,315
Separability of MultiPartite Quantum States
, 807
"... Abstract We give a direct tensor decomposition for any density matrix into Hermitian operators. Based upon the decomposition we study when the mixed states are separable and generalize the separability indicators to multipartite states and show that a density operator is separable if and only if th ..."
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Abstract We give a direct tensor decomposition for any density matrix into Hermitian operators. Based upon the decomposition we study when the mixed states are separable and generalize the separability indicators to multipartite states and show that a density operator is separable if and only
Matrix Tensor Product Approach to the Equivalence of Multipartite States under Local Unitary Transformations
, 2006
"... The equivalence of multipartite quantum mixed states under local unitary transformations is studied. A criterion for the equivalence of nondegenerate mixed multipartite quantum states under local unitary transformations is presented. PACS numbers: 03.67.a, 02.20.Hj, 03.65.w Quantum entangled stat ..."
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The equivalence of multipartite quantum mixed states under local unitary transformations is studied. A criterion for the equivalence of nondegenerate mixed multipartite quantum states under local unitary transformations is presented. PACS numbers: 03.67.a, 02.20.Hj, 03.65.w Quantum entangled
Classification and Measurement of Multipartite Quantum Entanglements
"... This paper presents a new measure of entanglement which can be employed for multipartite entangled systems. The classification of multipartite entangled systems based on this measure is considered. Two approaches to applying this measure to mixed quantum states are discussed. 1 ar ..."
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This paper presents a new measure of entanglement which can be employed for multipartite entangled systems. The classification of multipartite entangled systems based on this measure is considered. Two approaches to applying this measure to mixed quantum states are discussed. 1 ar
Criteria of partial separability of multipartite qubit mixedstates
, 2008
"... In this paper, we discuss the partial separability and its criteria problems of multipartite qubit mixedstates. First we strictly define what is the partial separability of a multipartite qubit system. Next we give a reduction way from Npartite qubit density matrixes to bipartite qubit density mat ..."
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In this paper, we discuss the partial separability and its criteria problems of multipartite qubit mixedstates. First we strictly define what is the partial separability of a multipartite qubit system. Next we give a reduction way from Npartite qubit density matrixes to bipartite qubit density
Lower Bound of Concurrence for Multipartite Quantum States
, 903
"... We study the concurrence of arbitrary multipartite mixed quantum states. An explicit lower bound of the concurrence is derived, which detects quantum entanglement of some states better than some separability criteria, and gives sufficient conditions for distilling GHZ states from tripartite states. ..."
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We study the concurrence of arbitrary multipartite mixed quantum states. An explicit lower bound of the concurrence is derived, which detects quantum entanglement of some states better than some separability criteria, and gives sufficient conditions for distilling GHZ states from tripartite states
APPLICATIONS TO MULTIPARTITE STATES AND QUANTUM PHASE TRANSITIONS
, 905
"... The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement is explored for bipartite and multipartite pure and mixed states. It is determined analytically for arbitrary twoqubit mixed ..."
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The degree to which a pure quantum state is entangled can be characterized by the distance or angle to the nearest unentangled state. This geometric measure of entanglement is explored for bipartite and multipartite pure and mixed states. It is determined analytically for arbitrary two
Combinatorial Topology Of Multipartite Entangled States
, 2008
"... With any state of a multipartite quantum system its separability polytope is associated. This is an algebrotopological object (nontrivial only for mixed states) which captures the localisation of entanglement of the state. Particular examples of separabilty polytopes for 3partite systems are expli ..."
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With any state of a multipartite quantum system its separability polytope is associated. This is an algebrotopological object (nontrivial only for mixed states) which captures the localisation of entanglement of the state. Particular examples of separabilty polytopes for 3partite systems
Quantum circuits with mixed states
 in Proc. 30th STOC
, 1998
"... Current formal models for quantum computation deal only with unitary gates operating on “pure quantum states”. In these models it is difficult or impossible to deal formally with several central issues: measurements in the middle of the computation; decoherence and noise, using probabilistic subrout ..."
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Cited by 142 (7 self)
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subroutines, and more. It turns out, that the restriction to unitary gates and pure states is unnecessary. In this paper we generalize the formal model of quantum circuits to a model in which the state can be a general quantum state, namely a mixed state, or a “density matrix”, and the gates can be general
Mixed state entanglement and quantum error correction
 Phys. Rev., A
, 1996
"... Entanglement purification protocols (EPP) and quantum errorcorrecting codes (QECC) provide two ways of protecting quantum states from interaction with the environment. In an EPP, perfectly entangled pure states are extracted, with some yield D, from a bipartite mixed state M; with a QECC, an arbitra ..."
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Cited by 185 (7 self)
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Entanglement purification protocols (EPP) and quantum errorcorrecting codes (QECC) provide two ways of protecting quantum states from interaction with the environment. In an EPP, perfectly entangled pure states are extracted, with some yield D, from a bipartite mixed state M; with a QECC
DIMENSIONS OF GENERIC LOCAL ORBITS OF MULTIPARTITE QUANTUM SYSTEMS
, 2006
"... Abstract. We consider the action of the group of local unitary transformations, U(m) ⊗ U(n), on the set of (mixed) states W of the bipartite (m × n) quantum system. We prove that the generic U(m)⊗U(n)orbits in W have dimension m 2 +n 2 −2. This problem was mentioned (and left open) by Ku´s and ˙ Z ..."
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Abstract. We consider the action of the group of local unitary transformations, U(m) ⊗ U(n), on the set of (mixed) states W of the bipartite (m × n) quantum system. We prove that the generic U(m)⊗U(n)orbits in W have dimension m 2 +n 2 −2. This problem was mentioned (and left open) by Ku
Results 1  10
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1,315