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Volumn 7, Issue 7, 2007, Pages 624-638

Separability criteria based on the bloch representation of density matrices

Author keywords

Bipartite quantum systems; Bloch representation; Entanglement

Indexed keywords

EQUIVALENCE CLASSES; MATRIX ALGEBRA; QUANTUM OPTICS;

EID: 34547528446     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (174)

References (40)
  • 1
    • 0039624459 scopus 로고
    • Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
    • R.F. Werner (1989), Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model, Phys. Rev. A 40, pp. 4277-4281.
    • (1989) Phys. Rev. A , vol.40 , pp. 4277-4281
    • Werner, R.F.1
  • 2
    • 33947385649 scopus 로고
    • Can quantum-mechanical description of reality be considered complete?
    • A. Einstein, N. Podolski and N. Rosen (1935), Can quantum-mechanical description of reality be considered complete?, Phys. Rev. 47, pp. 777-780.
    • (1935) Phys. Rev , vol.47 , pp. 777-780
    • Einstein, A.1    Podolski, N.2    Rosen, N.3
  • 4
    • 0004131973 scopus 로고    scopus 로고
    • D. Bouwmeester, A. Ekert and A. Zeilinger (eds, Springer Berlin
    • D. Bouwmeester, A. Ekert and A. Zeilinger (eds.) (2000), The Physics of Quantum Information, Springer (Berlin).
    • (2000) The Physics of Quantum Information
  • 5
    • 0037574296 scopus 로고    scopus 로고
    • Separability criterion for density matrices
    • A. Peres (1996), Separability criterion for density matrices, Phys. Rev. Lett. 77, pp. 1413-1415.
    • (1996) Phys. Rev. Lett , vol.77 , pp. 1413-1415
    • Peres, A.1
  • 6
    • 0042376719 scopus 로고    scopus 로고
    • Separability of mixed states: Necessary and sufficient conditions
    • M. Horodecki, P. Horodecki and R. Horodecki (1996), Separability of mixed states: necessary and sufficient conditions, Phys. Lett. A 223, pp. 1-8.
    • (1996) Phys. Lett. A , vol.223 , pp. 1-8
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 7
    • 0000525266 scopus 로고    scopus 로고
    • Reduction criterion of separability and limits for a class of distillation protocols
    • M. Horodecki and P. Horodecki (1999), Reduction criterion of separability and limits for a class of distillation protocols, Phys. Rev. A 59, pp. 4206-4216.
    • (1999) Phys. Rev. A , vol.59 , pp. 4206-4216
    • Horodecki, M.1    Horodecki, P.2
  • 8
    • 0035963009 scopus 로고    scopus 로고
    • Separable states are more disordered globally than locally
    • M.A. Nielsen and J. Kempe (2001), Separable states are more disordered globally than locally, Phys. Rev. Lett. 86, pp. 5184-5187.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 5184-5187
    • Nielsen, M.A.1    Kempe, J.2
  • 10
    • 0141752800 scopus 로고    scopus 로고
    • A matrix realignment method for recognizing entanglement
    • K. Chen and L.-A. Wu (2003), A matrix realignment method for recognizing entanglement, Quantum Inf. Comput. 3, pp. 193-202.
    • (2003) Quantum Inf. Comput , vol.3 , pp. 193-202
    • Chen, K.1    Wu, L.-A.2
  • 12
    • 2342501807 scopus 로고    scopus 로고
    • O. Gühne (2004), Characterizing entanglement via uncertainty relations, Phys. Rev. Lett. 92, pp. 117903-1-4.
    • O. Gühne (2004), Characterizing entanglement via uncertainty relations, Phys. Rev. Lett. 92, pp. 117903-1-4.
  • 13
    • 26944487659 scopus 로고    scopus 로고
    • J.I. de Vicente and J. Sánchez-Ruiz (2005), Separability conditions from the Landau-Pollak uncertainty relation, Phys. Rev. A 71, pp. 052325-1-8.
    • J.I. de Vicente and J. Sánchez-Ruiz (2005), Separability conditions from the Landau-Pollak uncertainty relation, Phys. Rev. A 71, pp. 052325-1-8.
  • 15
    • 0036994563 scopus 로고    scopus 로고
    • L. Gurvits and H. Barnum (2002), Largest separable balls around the maximally mixed bipartite quantum state, Phys. Rev. A 66, pp. 062311-1-7.
    • L. Gurvits and H. Barnum (2002), Largest separable balls around the maximally mixed bipartite quantum state, Phys. Rev. A 66, pp. 062311-1-7.
  • 16
    • 0000592520 scopus 로고    scopus 로고
    • Bell inequalities and the separability criterion
    • B.M. Terhal (2000), Bell inequalities and the separability criterion, Phys. Lett. A 271, pp. 319-326.
    • (2000) Phys. Lett. A , vol.271 , pp. 319-326
    • Terhal, B.M.1
  • 17
    • 0034676038 scopus 로고    scopus 로고
    • A necessary and sufficient criterion for multipartite separable states
    • S. Wu, X. Chen and Y. Zhang (2000), A necessary and sufficient criterion for multipartite separable states, Phys. Lett. A 275, pp. 244-249.
    • (2000) Phys. Lett. A , vol.275 , pp. 244-249
    • Wu, S.1    Chen, X.2    Zhang, Y.3
  • 18
    • 18344371923 scopus 로고    scopus 로고
    • P. Horodecki, M. Lewenstein, G. Vidal and I. Cirac (2000), Operational criterion and constructive checks for the separability of low-rank density matrices, Phys. Rev. A 62, pp. 032310-1-10.
    • P. Horodecki, M. Lewenstein, G. Vidal and I. Cirac (2000), Operational criterion and constructive checks for the separability of low-rank density matrices, Phys. Rev. A 62, pp. 032310-1-10.
  • 19
    • 4243684526 scopus 로고    scopus 로고
    • Entanglement of formation of an arbitrary state of two qubits
    • W.K. Wootters (1998), Entanglement of formation of an arbitrary state of two qubits, Phys. Rev. Lett. 80, pp. 2245-2248.
    • (1998) Phys. Rev. Lett , vol.80 , pp. 2245-2248
    • Wootters, W.K.1
  • 20
    • 0001003131 scopus 로고    scopus 로고
    • Local description of quantum inseparability
    • A. Sanpera, R. Tarrach and G. Vidal (1998), Local description of quantum inseparability, Phys. Rev. A 58, pp. 826-830.
    • (1998) Phys. Rev. A , vol.58 , pp. 826-830
    • Sanpera, A.1    Tarrach, R.2    Vidal, G.3
  • 22
    • 34247230238 scopus 로고    scopus 로고
    • Computational complexity of the quantum separability problem
    • L.M. Ioannou (2007), Computational complexity of the quantum separability problem, Quantum Inf. Comput. 7, pp. 335-370.
    • (2007) Quantum Inf. Comput , vol.7 , pp. 335-370
    • Ioannou, L.M.1
  • 23
    • 0001339646 scopus 로고    scopus 로고
    • Information-theoretic aspects of inseparability of mixed states
    • R. Horodecki and M. Horodecki (1996), Information-theoretic aspects of inseparability of mixed states, Phys. Rev. A 54, pp. 1838-1843.
    • (1996) Phys. Rev. A , vol.54 , pp. 1838-1843
    • Horodecki, R.1    Horodecki, M.2
  • 24
    • 0033723822 scopus 로고    scopus 로고
    • Qutrit entanglement
    • C.M. Caves and G.J. Milburn (2000), Qutrit entanglement, Opt. Commun. 179, pp. 439-446.
    • (2000) Opt. Commun , vol.179 , pp. 439-446
    • Caves, C.M.1    Milburn, G.J.2
  • 26
    • 25544455901 scopus 로고
    • N-level coherence vector and higher conservation laws in Quantum Optics and Quantum Mechanics
    • F.T. Hioe and J.H. Eberly (1981), N-level coherence vector and higher conservation laws in Quantum Optics and Quantum Mechanics, Phys. Rev. Lett. 47, pp. 838-841.
    • (1981) Phys. Rev. Lett , vol.47 , pp. 838-841
    • Hioe, F.T.1    Eberly, J.H.2
  • 27
    • 0011327448 scopus 로고
    • Nuclear induction
    • F. Bloch (1946), Nuclear induction, Phys. Rev. 70, pp. 460-474.
    • (1946) Phys. Rev , vol.70 , pp. 460-474
    • Bloch, F.1
  • 29
    • 0042162967 scopus 로고    scopus 로고
    • The Bloch vector for N-level systems
    • G. Kimura (2003), The Bloch vector for N-level systems, Phys. Lett. A 314, pp. 339-349.
    • (2003) Phys. Lett. A , vol.314 , pp. 339-349
    • Kimura, G.1
  • 30
    • 1142304441 scopus 로고    scopus 로고
    • M.S. Byrd and N. Khaneja (2003), Characterization of the positivity of the density matrix in terms of the coherence vector representation, Phys. Rev. A 68, pp. 062322-1-13.
    • M.S. Byrd and N. Khaneja (2003), Characterization of the positivity of the density matrix in terms of the coherence vector representation, Phys. Rev. A 68, pp. 062322-1-13.
  • 31
    • 0000468604 scopus 로고
    • Geometry of density matrices I. Definitions, N matrices and 1 matrices
    • J.E. Harriman (1978), Geometry of density matrices I. Definitions, N matrices and 1 matrices, Phys. Rev. A 17, pp. 1249-1256.
    • (1978) Phys. Rev. A , vol.17 , pp. 1249-1256
    • Harriman, J.E.1
  • 34
    • 0000417584 scopus 로고
    • Pairs of two-level systems
    • U. Fano (1983), Pairs of two-level systems, Rev. Mod. Phys. 55, pp. 855-874.
    • (1983) Rev. Mod. Phys , vol.55 , pp. 855-874
    • Fano, U.1
  • 37
    • 0033727105 scopus 로고    scopus 로고
    • Note on separability of the Werner states in arbitrary dimensions
    • A.O. Pittenger and M.H. Rubin (2000), Note on separability of the Werner states in arbitrary dimensions, Opt. Commun. 179, pp. 447-449.
    • (2000) Opt. Commun , vol.179 , pp. 447-449
    • Pittenger, A.O.1    Rubin, M.H.2
  • 38
    • 0037837547 scopus 로고    scopus 로고
    • O. Rudolph (2003), Some properties of the computable cross-norm criterion for separability, Phys. Rev. A 67, pp. 032312-1-6.
    • O. Rudolph (2003), Some properties of the computable cross-norm criterion for separability, Phys. Rev. A 67, pp. 032312-1-6.
  • 39
    • 0038816596 scopus 로고    scopus 로고
    • D. Bruß and A. Peres (2000), Construction of quantum states with bound entanglement, Phys. Rev. A 61, pp. 030301-1-2.
    • D. Bruß and A. Peres (2000), Construction of quantum states with bound entanglement, Phys. Rev. A 61, pp. 030301-1-2.
  • 40
    • 0042542909 scopus 로고    scopus 로고
    • Separability criterion and inseparable mixed states with positive partial transposition
    • P. Horodecki (1997), Separability criterion and inseparable mixed states with positive partial transposition, Phys. Lett. A 232, pp. 333-339.
    • (1997) Phys. Lett. A , vol.232 , pp. 333-339
    • Horodecki, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.