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Volumn 66, Issue 3, 2002, Pages 14-

Entanglement in a simple quantum phase transition

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EID: 84871894919     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.66.032110     Document Type: Article
Times cited : (215)

References (64)
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    • By “classical method” we are referring to all methods which employ calculations based on separable states. The Hartree-Fock method along with the concept of the Fermi surface are both examples of this type of reasoning. (The Fermi sea is expressible as a single Slater determinant so it can be considered to exhibit no quantum correlations 8. 910. 11
    • By “classical method” we are referring to all methods which employ calculations based on separable states. The Hartree-Fock method along with the concept of the Fermi surface are both examples of this type of reasoning. (The Fermi sea is expressible as a single Slater determinant so it can be considered to exhibit no quantum correlations 891011.)
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    • T. J. Osborne and M. A. Nielsen, Quantum Inf. Process., e-print quant-ph/0109024 (to be published).
    • Osborne, T.J.1    Nielsen, M.A.2
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    • M. A. Nielsen, Ph.D. thesis, University of New Mexico, 1998 (unpublished)
    • Nielsen, M.A.1
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    • S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 1999)
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    • B. K. Chakrabarti, A. Dutta, and P. Sen, Quantum Ising Phases and Transitions in Transverse Ising Models (Springer-Verlag, Berlin, 1996)
    • B. K. Chakrabarti, A. Dutta, and P. Sen, Quantum Ising Phases and Transitions in Transverse Ising Models (Springer-Verlag, Berlin, 1996).
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    • It should be noted that this interpretation is subject to the condition that (Formula presented) is additive
    • It should be noted that this interpretation is subject to the condition that (Formula presented) is additive.
  • 54
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    • A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer, New York, 1994)
    • A. Auerbach, Interacting Electrons and Quantum Magnetism (Springer, New York, 1994).
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    • It is worth noting that the concurrence (and therefore the entanglement of formation) measures only two-party entanglement. It does not measure the many-party entanglement in states like the GHZ state (Formula presented) where the concurrence is zero for any pair of spins
    • It is worth noting that the concurrence (and therefore the entanglement of formation) measures only two-party entanglement. It does not measure the many-party entanglement in states like the GHZ state (Formula presented) where the concurrence is zero for any pair of spins.
  • 63
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    • By a purely three-party entanglement measure we mean an entanglement measure which quantifies purely three-party entanglement such as the GHZ state (Formula presented) (we implicitly assume that this measure is non-negative). For example, associated with the tangle (Formula presented) (the tangle (Formula presented) is equal to the square of the concurrence (Formula presented) such a measure is given by the three-tangle (see Ref. 54 for further details)
    • By a purely three-party entanglement measure we mean an entanglement measure which quantifies purely three-party entanglement such as the GHZ state (Formula presented) (we implicitly assume that this measure is non-negative). For example, associated with the tangle (Formula presented) (the tangle (Formula presented) is equal to the square of the concurrence (Formula presented) such a measure is given by the three-tangle (see Ref. 54 for further details).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.