메뉴 건너뛰기




Volumn 8, Issue 10, 2008, Pages 0925-0942

Three-qubit groverian measure

Author keywords

Geometric measure; Groverian measure; Three qubit LU invariants

Indexed keywords

COMPUTATIONAL METHODS; INFORMATION SYSTEMS;

EID: 54749090374     PISSN: 15337146     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (11)

References (29)
  • 1
    • 0036790031 scopus 로고    scopus 로고
    • Fundamentals of quantum information theory
    • [quantph/0202122]
    • M. Keyl, Fundamentals of quantum information theory, Phys. Rep. 369 (2002) 431 [quantph/0202122].
    • (2002) Phys. Rep. , vol.369 , pp. 431
    • Keyl, M.1
  • 2
    • 0242425255 scopus 로고    scopus 로고
    • Efficient classical simulation of slightly entangled quantum computations
    • [quant-ph/0301063].
    • G. Vidal, Efficient classical simulation of slightly entangled quantum computations, Phys. Rev. Lett. 91 (2003) 147902 [quant-ph/0301063].
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 147902
    • Vidal, G.1
  • 4
    • 0034652055 scopus 로고    scopus 로고
    • Entanglement monotones
    • [quant-ph/9807077].
    • G. Vidal, Entanglement monotones, J. Mod. Opt. 47 (2000) 355 [quant-ph/9807077].
    • (2000) J. Mod. Opt. , vol.47 , pp. 355
    • Vidal, G.1
  • 5
    • 0035823437 scopus 로고    scopus 로고
    • Bounds on relative entropy of entanglement for multi-party systems
    • [quant-ph/0010080].
    • M. B. Plenio and V. Vedral, Bounds on relative entropy of entanglement for multi-party systems, J. Phys. A 34 (2001) 6997 [quant-ph/0010080].
    • (2001) J. Phys. A , vol.34 , pp. 6997
    • Plenio, M.B.1    Vedral, V.2
  • 6
    • 4243216277 scopus 로고    scopus 로고
    • Mixed-state entanglement and quantum error correction
    • [quant-ph/9604024].
    • C. H. Bennett, D. P. DiVincenzo, J. A. Smolin and W. K. Wootters, Mixed-state entanglement and quantum error correction, Phys. Rev. A 54 (1996) 3824 [quant-ph/9604024].
    • (1996) Phys. Rev. A , vol.54 , pp. 3824
    • Bennett, C.H.1    Divincenzo, D.P.2    Smolin, J.A.3    Wootters, W.K.4
  • 7
    • 4243445702 scopus 로고    scopus 로고
    • Concentrating partial entanglement by local operation
    • [quant-ph/9511030].
    • C. H. Bennett, H. J. Bernstein, S. Popescu and B. Schumacher, Concentrating partial entanglement by local operation, Phys. Rev. A 53 (1996) 2046 [quant-ph/9511030].
    • (1996) Phys. Rev. A , vol.53 , pp. 2046
    • Bennett, C.H.1    Bernstein, H.J.2    Popescu, S.3    Schumacher, B.4
  • 8
    • 4644359625 scopus 로고    scopus 로고
    • Entanglement of a Pair of Quantum Bits
    • [quant-ph/9703041].
    • S. Hill and W. K. Wootters, Entanglement of a Pair of Quantum Bits, Phys. Rev. Lett. 78 (1997) 5022 [quant-ph/9703041].
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 5022
    • Hill, S.1    Wootters, W.K.2
  • 9
    • 4243684526 scopus 로고    scopus 로고
    • Entanglement of Formation of an Arbitrary State of Two Qubits
    • [quant-ph/9709029].
    • W. K. Wootters, Entanglement of Formation of an Arbitrary State of Two Qubits, Phys. Rev. Lett. 80 (1998) 2245 [quant-ph/9709029].
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2245
    • Wootters, W.K.1
  • 10
    • 34548233709 scopus 로고    scopus 로고
    • Formation of Multipartite Entanglement Using Random Quantum Gates
    • arXiv:0708.3481[quant-ph].
    • Y. Most, Y. Shimoni and O. Biham, Formation of Multipartite Entanglement Using Random Quantum Gates, Phys. Rev. A 76 (2007) 022328, arXiv:0708. 3481[quant-ph].
    • (2007) Phys. Rev. A , vol.76 , pp. 022328
    • Most, Y.1    Shimoni, Y.2    Biham, O.3
  • 11
    • 85025249381 scopus 로고
    • Degree of entanglement
    • D. M. Greenberg and A. Zeilinger (eds.), Fundamental problems in quantum theory: A conference held in honor of J. A. Wheeler
    • A. Shimony, Degree of entanglement, in D. M. Greenberg and A. Zeilinger (eds.), Fundamental problems in quantum theory: A conference held in honor of J. A. Wheeler, Ann. N. Y. Acad. Sci. 755 (1995) 675.
    • (1995) Ann. N. Y. Acad. Sci. , vol.755 , pp. 675
    • Shimony, A.1
  • 12
    • 0035823456 scopus 로고    scopus 로고
    • Monotones and invariants for multi-particle quantum states
    • [quant-ph/0103155].
    • H. Barnum and N. Linden, Monotones and invariants for multi-particle quantum states, J. Phys. A 34 (2001) 6787, [quant-ph/0103155].
    • (2001) J. Phys. A , vol.34 , pp. 6787
    • Barnum, H.1    Linden, N.2
  • 13
    • 4043120596 scopus 로고    scopus 로고
    • Geometric measure of entanglement and application to bipartite and multipartite quantum states
    • [quant-ph/0307219].
    • T. C. Wei and P. M. Goldbart, Geometric measure of entanglement and application to bipartite and multipartite quantum states, Phys. Rev. A 68 (2003) 042307 [quant-ph/0307219].
    • (2003) Phys. Rev. A , vol.68 , pp. 042307
    • Wei, T.C.1    Goldbart, P.M.2
  • 14
    • 0037241843 scopus 로고    scopus 로고
    • The geometry of entanglement witnesses and local detection of entanglement
    • [quant-ph/0207024v1].
    • A. O. Pittenger and M. H. Rubin, The geometry of entanglement witnesses and local detection of entanglement, Phys. Rev. A 67, 012327 (2003) [quant-ph/0207024v1].
    • (2003) Phys. Rev. A , vol.67 , pp. 012327
    • Pittenger, A.O.1    Rubin, M.H.2
  • 15
    • 0035435458 scopus 로고    scopus 로고
    • Schmidt measure as a tool for quantifying multiparticle entanglement
    • [quant-ph/0007081].
    • J. Eisert and H. J. Briegel, Schmidt measure as a tool for quantifying multiparticle entanglement, Phys. Rev. A 64 (2001) 022306 [quant-ph/0007081].
    • (2001) Phys. Rev. A , vol.64 , pp. 022306
    • Eisert, J.1    Briegel, H.J.2
  • 16
    • 0036599746 scopus 로고    scopus 로고
    • Entanglement monotone derived from Grover's algorithm
    • [quant-ph/0112907].
    • O. Biham, M. A. Nielsen and T. J. Osborne, Entanglement monotone derived from Grover's algorithm, Phys. Rev. A 65 (2002) 062312 [quant-ph/0112907].
    • (2002) Phys. Rev. A , vol.65 , pp. 062312
    • Biham, O.1    Nielsen, M.A.2    Osborne, T.J.3
  • 17
    • 0000875336 scopus 로고
    • " Irreversility" of the flux of the renormalization group in a 2D field theory
    • A. B. Zamolodchikov, " Irreversility" of the flux of the renormalization group in a 2D field theory, JETP Lett. 43 (1986) 730.
    • (1986) JETP Lett. , vol.43 , pp. 730
    • Zamolodchikov, A.B.1
  • 18
    • 65549111916 scopus 로고    scopus 로고
    • Universal geometric entanglement close to quantum phase transitions, arXiv: 0711.2556 [quant-ph].
    • R. Or'us, Universal geometric entanglement close to quantum phase transitions, arXiv: 0711.2556 [quant-ph].
    • Or'us, R.1
  • 19
    • 0346688149 scopus 로고    scopus 로고
    • Distributed entanglement
    • [quant-ph/9907047].
    • V. Coffman, J. Kundu and W. K. Wootters, Distributed entanglement, Phys. Rev. A 61 (2000) 052306 [quant-ph/9907047].
    • (2000) Phys. Rev. A , vol.61 , pp. 052306
    • Coffman, V.1    Kundu, J.2    Wootters, W.K.3
  • 20
    • 0038284569 scopus 로고    scopus 로고
    • Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States
    • [quant-ph/0003050].
    • A. Ac'In, A. Andrianov, L. Costa, E. Jan'e, J. I. Latorre and R. Tarrach, Generalized Schmidt Decomposition and Classification of Three-Quantum-Bit States, Phys. Rev. Lett. 85 (2000) 1560 [quant-ph/0003050].
    • (2000) Phys. Rev. Lett. , vol.85 , pp. 1560
    • Ac'In, A.1    Andrianov, A.2    Costa, L.3    Jan E.'e4    Latorre, J.I.5    Tarrach, R.6
  • 21
    • 0035951745 scopus 로고    scopus 로고
    • On local invariance of pure three-qubit states
    • [quantph/0001116].
    • A. Sudbery, On local invariance of pure three-qubit states, J. Phys. A 34 (2001) 643 [quantph/0001116].
    • (2001) J. Phys. A , vol.34 , pp. 643
    • Sudbery, A.1
  • 22
    • 45249113253 scopus 로고    scopus 로고
    • Reduced State Uniquely Defines Groverian Measure of Original Pure State
    • arXiv:0709.4292[quant-ph].
    • E. Jung, M. R. Hwang, H. Kim, M. S. Kim, D. K. Park, J. W. Son and S. Tamaryan, Reduced State Uniquely Defines Groverian Measure of Original Pure State, Phys. Rev. A 77 (2008) 062317, arXiv:0709.4292[quant-ph].
    • (2008) Phys. Rev. A , vol.77 , pp. 062317
    • Jung, E.1    Hwang, M.R.2    Kim, H.3    Kim, M.S.4    Park, D.K.5    Son, J.W.6    Tamaryan, S.7
  • 23
    • 40749151418 scopus 로고    scopus 로고
    • Analytic Expressions for Geometric Measure of Three Qubit States
    • arXiv:0710.0571[quant-ph].
    • L. Tamaryan, DaeKil K. Park and S. Tamaryan, Analytic Expressions for Geometric Measure of Three Qubit States, Phys. Rev. A 77 (2008) 022325, arXiv:0710.0571[quant-ph].
    • (2008) Phys. Rev. A , vol.77 , pp. 022325
    • Tamaryan, L.1    DaeKil Park, K.2    Tamaryan, S.3
  • 25
    • 4043060830 scopus 로고    scopus 로고
    • Characterization of pure quantum states of multiple qubits using the Groverian entangled measure
    • [quant-ph/0309062].
    • Y. Shimoni, D. Shapira and O. Biham, Characterization of pure quantum states of multiple qubits using the Groverian entangled measure, Phys. Rev. A 69 (2004) 062303 [quant-ph/0309062].
    • (2004) Phys. Rev. A , vol.69 , pp. 062303
    • Shimoni, Y.1    Shapira, D.2    Biham, O.3
  • 26
    • 34250957105 scopus 로고
    • Zur theorie der linearen und nichtlinearen integralgleighungen
    • A. Ekert and P. L. Knight, Entangled quantum systems and the Schmidt decomposition, Am. J. Phys. 63 (1995) 415.
    • E. Schmidt, Zur theorie der linearen und nichtlinearen integralgleighungen,Math. Ann. 63 (1907) 433; A. Ekert and P. L. Knight, Entangled quantum systems and the Schmidt decomposition, Am. J. Phys. 63 (1995) 415.
    • (1907) Math. Ann. , vol.63 , pp. 433
    • Schmidt, E.1
  • 27
    • 0141801503 scopus 로고    scopus 로고
    • Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
    • [quant-ph/0002045].
    • Y. Makhlin, Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations, Quant. Info. Proc. 1, 243-252 (2002), [quant-ph/0002045].
    • (2002) Quant. Info. Proc. , vol.1 , pp. 243-252
    • Makhlin, Y.1
  • 28
    • 0000953494 scopus 로고    scopus 로고
    • Three qubits can be entangled in two inequivalent ways
    • [quant-ph/0005115].
    • W. D̈ur, G. Vidal and J. I. Cirac, Three qubits can be entangled in two inequivalent ways, Phys. Rev. A 62 (2000) 062314 [quant-ph/0005115].
    • (2000) Phys. Rev. A , vol.62 , pp. 062314
    • W. D̈ur1    Vidal, G.2    Cirac, J.I.3
  • 29
    • 33645693955 scopus 로고    scopus 로고
    • Groverian measure of entanglement for mixed states
    • [quant-ph/0508108].
    • D. Shapira, Y. Shimoni and O. Biham, Groverian measure of entanglement for mixed states, Phys. Rev. A73 (2006) 044301 [quant-ph/0508108].
    • (2006) Phys. Rev. A , vol.73 , pp. 044301
    • Shapira, D.1    Shimoni, Y.2    Biham, O.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.