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ENTANGLEMENT MEASURES

by Kivanc Uyanik , 2008
"... ..."
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The uniqueness theorem for entanglement measures

by Matthew J. Donald, Oliver Rudolph - quant-ph/0105017. 7 A. Khinchin, Mathematical Foundations of Information Theory (New , 1957
"... Abstract We review the mathematics of the theory of entanglement measures. As well as giving proofs from first principles for some well-known and important results, we provide a sharpened version of a uniqueness theorem which gives necessary and sufficient conditions for an entanglement measure to c ..."
Abstract - Cited by 23 (3 self) - Add to MetaCart
Abstract We review the mathematics of the theory of entanglement measures. As well as giving proofs from first principles for some well-known and important results, we provide a sharpened version of a uniqueness theorem which gives necessary and sufficient conditions for an entanglement measure

Entanglement measures and purification procedures

by V. Vedral, M. B. Plenio - Physical Review A , 1998
"... We improve previously proposed conditions each measure of entanglement has to satisfy. We present a class of entanglement measures that satisfy these conditions and show that the Quantum Relative Entropy and Bures Metric generate two measures of this class. We calculate the measures of entanglement ..."
Abstract - Cited by 32 (1 self) - Add to MetaCart
We improve previously proposed conditions each measure of entanglement has to satisfy. We present a class of entanglement measures that satisfy these conditions and show that the Quantum Relative Entropy and Bures Metric generate two measures of this class. We calculate the measures of entanglement

Ordering States with Entanglement Measures

by S. Virmani, M. B. Plenio , 2000
"... We demonstrate that all good asymptotic entanglement measures are either identical or place a different ordering on the set of all quantum states. 1 ..."
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We demonstrate that all good asymptotic entanglement measures are either identical or place a different ordering on the set of all quantum states. 1

Multipartite entanglement measures

by unknown authors
"... the structure of entanglement (interesting for more than two subsystems) the qualification of entanglement (separability criteria) the quantification of entanglement (entanglement measures) These are difficult for mixed states of more than two subsystems. Here we present well motivated answers for t ..."
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the structure of entanglement (interesting for more than two subsystems) the qualification of entanglement (separability criteria) the quantification of entanglement (entanglement measures) These are difficult for mixed states of more than two subsystems. Here we present well motivated answers

Note on non-entangling measurements

by Paul Busch , 2002
"... The general form of non-entangling unitary maps for measurement schemes is determined. It is shown that any POVM admits a non-entangling measurement. We prove the following. Proposition 1 Let H1, H2 be complex separable Hilbert spaces, φ0 a unit vector in H2. Assume U: H1 ⊗ H2 → H1 ⊗ H2 is a unitary ..."
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The general form of non-entangling unitary maps for measurement schemes is determined. It is shown that any POVM admits a non-entangling measurement. We prove the following. Proposition 1 Let H1, H2 be complex separable Hilbert spaces, φ0 a unit vector in H2. Assume U: H1 ⊗ H2 → H1 ⊗ H2 is a

A new class of entanglement measures

by Oliver Rudolph - J. Math. Phys
"... Abstract We introduce new entanglement measures on the set of density operators on tensor product Hilbert spaces. These measures are based on the greatest cross norm on the tensor product of the sets of trace class operators on Hilbert space. We show that they satisfy the basic requirements on entan ..."
Abstract - Cited by 7 (2 self) - Add to MetaCart
Abstract We introduce new entanglement measures on the set of density operators on tensor product Hilbert spaces. These measures are based on the greatest cross norm on the tensor product of the sets of trace class operators on Hilbert space. We show that they satisfy the basic requirements

ANOTHER STATE ENTANGLEMENT MEASURE

by Oscar A. Nagel, Guido A. Raggio , 2003
"... its marginals are the states of A and B defined by ω A (a) = ω(a ⊗ 1B) , a ∈ A, ω B (b) = ω(1A ⊗ b) , b ∈ B. ..."
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its marginals are the states of A and B defined by ω A (a) = ω(a ⊗ 1B) , a ∈ A, ω B (b) = ω(1A ⊗ b) , b ∈ B.

Unified entropy, entanglement measures and

by Jeong San Kim, Barry C. S
"... ar ..."
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An entanglement measure for n qubits 1

by Dafa Li A, Xiangrong Li B, Hongtao Huang C, Xinxin Li D , 710
"... In Phys. Rev. A 61, 052306 (2000), Coffman, Kundu and Wootters introduced the residual entanglement for three qubits. In this paper, we present the entanglement measure τ(ψ) for even n qubits; for odd n qubits, we propose the residual entanglement τ (i)(ψ) with respect to qubit i and the odd n-tangl ..."
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In Phys. Rev. A 61, 052306 (2000), Coffman, Kundu and Wootters introduced the residual entanglement for three qubits. In this paper, we present the entanglement measure τ(ψ) for even n qubits; for odd n qubits, we propose the residual entanglement τ (i)(ψ) with respect to qubit i and the odd n
Results 1 - 10 of 1,569