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Volumn 465, Issue 2111, 2009, Pages 3289-3308

Large deviation bounds for k-designs

Author keywords

De randomization; Designs; Large deviation bounds; Measure concentration

Indexed keywords

COMPUTATIONAL LINGUISTICS; QUANTUM COMPUTERS; STATISTICAL MECHANICS;

EID: 73149090970     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2009.0232     Document Type: Article
Times cited : (67)

References (23)
  • 1
    • 57949111887 scopus 로고    scopus 로고
    • K-wise independent random graphs
    • Philadelphia, PA, 25-28 October 2008, doi:10.1109/FOCS.2008.61
    • Alon, N. & Nussboim, A. 2008 k-wise independent random graphs. 49th Annual IEEE Symp. Foundations of Computer Science, Philadelphia, PA, 25-28 October 2008, pp. 813-822. (doi:10.1109/FOCS.2008.61)
    • (2008) 49th Annual IEEE Symp. Foundations of Computer Science , pp. 813-822
    • Alon, N.1    Nussboim, A.2
  • 2
    • 34748892553 scopus 로고    scopus 로고
    • Quantum t-designs: T-wise independence in the quantum world
    • DOI 10.1109/CCC.2007.26, 4262758, Proceedings - Twenty-Second Annual IEEE Conference on Computational Complexity, CCC 2007
    • Ambainis, A. & Emerson, E. 2007 Quantum t-designs: t-wise independence in the quantum world. IEEE Conf. Comput. Complex. 2007, 129-140. (doi:10.1109/CCC.2007.26) (Pubitemid 47485131)
    • (2007) Proceedings of the Annual IEEE Conference on Computational Complexity , pp. 129-140
    • Ambainis, A.1    Emerson, J.2
  • 4
    • 0035823456 scopus 로고    scopus 로고
    • Monotones and invariants for multi-particle quantum states
    • doi:10.1088/0305-4470/34/35/305
    • Barnum, H. & Linden, N. 2001 Monotones and invariants for multi-particle quantum states. J. Phys. A 34, 6787-6805. (doi:10.1088/0305-4470/ 34/35/305)
    • (2001) J. Phys. A , vol.34 , pp. 6787-6805
    • Barnum, H.1    Linden, N.2
  • 5
    • 33749228136 scopus 로고
    • Randomness-efficient oblivious sampling
    • Santa Fe, NM, 20-22 November 1994, doi:10.1109/SFCS.1994.365687
    • Bellare, M. & Rompel, J. 1994 Randomness-efficient oblivious sampling. 35th Annual IEEE Symp. Foundations of Computer Science, Santa Fe, NM, 20-22 November 1994, pp. 276-287. (doi:10.1109/SFCS.1994.365687)
    • (1994) 35th Annual IEEE Symp. Foundations of Computer Science , pp. 276-287
    • Bellare, M.1    Rompel, J.2
  • 6
    • 65549153263 scopus 로고    scopus 로고
    • Are random pure states useful for quantum computation?
    • doi:10.1103/PhysRevLett.102.190502
    • Bremner, M. J., Mora, C. & Winter, A. 2008 Are random pure states useful for quantum computation? Phys. Rev. Lett. 102, 190 502. (doi:10.1103/PhysRevLett.102.190502)
    • (2008) Phys. Rev. Lett. , vol.102 , Issue.190 , pp. 502
    • Bremner, M.J.1    Mora, C.2    Winter, A.3
  • 7
    • 33746894176 scopus 로고    scopus 로고
    • Entanglement probability distribution of bipartite randomised stabilizer states
    • Dahlsten, O. & Plenio, M. 2006 Entanglement probability distribution of bipartite randomised stabilizer states. Quant. Inf. Comp. 6, 527-538.
    • (2006) Quant. Inf. Comp. , vol.6 , pp. 527-538
    • Dahlsten, O.1    Plenio, M.2
  • 9
    • 1642370829 scopus 로고    scopus 로고
    • Locking classical correlations in quantum states
    • doi:10.1103/ PhysRevLett.92.067902
    • DiVincenzo, D. P., Horodecki, M., Leung, D. W., Smolin, J. A. & Terhal, B. M. 2004 Locking classical correlations in quantum states. Phys. Rev. Lett. 92, 067 902. (doi:10.1103/ PhysRevLett.92.067902)
    • (2004) Phys. Rev. Lett. , vol.92 , Issue.67 , pp. 902
    • DiVincenzo, D.P.1    Horodecki, M.2    Leung, D.W.3    Smolin, J.A.4    Terhal, B.M.5
  • 10
    • 4243471647 scopus 로고
    • Proof of Page's conjecture on the average entropy of a subsystem
    • doi:10.1103/PhysRevLett.72.1148
    • Foong, S. K. & Kanno, S. 1994 Proof of Page's conjecture on the average entropy of a subsystem. Phys. Rev. Lett. 42 1148-1151. (doi:10.1103/PhysRevLett.72.1148)
    • (1994) Phys. Rev. Lett. , vol.42 , pp. 1148-1151
    • Foong, S.K.1    Kanno, S.2
  • 11
    • 34547194966 scopus 로고    scopus 로고
    • Distribution of bipartite entanglement for random pure states
    • doi:10.1088/1751-8113/40/11/014
    • Giraud, O. 2007 Distribution of bipartite entanglement for random pure states. J. Phys. A. 40, 2793-2801. (doi:10.1088/1751-8113/40/11/014)
    • (2007) J. Phys. A. , vol.40 , pp. 2793-2801
    • Giraud, O.1
  • 12
    • 65549137188 scopus 로고    scopus 로고
    • Most quantum states are too entangled to be useful as computational resources
    • doi:10.1103/PhysRevLett.102.190501
    • Gross, D., Flammia, S. & Eisert, J. 2008 Most quantum states are too entangled to be useful as computational resources. Phys. Rev. Lett. 102, 190 501. (doi:10.1103/PhysRevLett.102.190501)
    • (2008) Phys. Rev. Lett. , vol.102 , Issue.190 , pp. 501
    • Gross, D.1    Flammia, S.2    Eisert, J.3
  • 15
    • 2942655361 scopus 로고    scopus 로고
    • Superdense coding of quantum states
    • doi:10.1103/PhysRevLett.92.187901
    • Harrow, A., Hayden, P. & Leung, D. 2004 Superdense coding of quantum states. Phys. Rev. Lett. 92, 187 901. (doi:10.1103/PhysRevLett.92.187901)
    • (2004) Phys. Rev. Lett. , vol.92 , Issue.187 , pp. 901
    • Harrow, A.1    Hayden, P.2    Leung, D.3
  • 16
    • 5644232846 scopus 로고    scopus 로고
    • Randomizing quantum states: Constructions and applications
    • DOI 10.1007/s00220-004-1087-6
    • Hayden, P., Leung, D., Shor, P. W. & Winter, A. 2004 Randomizing quantum states: constructions and applications. Commun. Math. Phys. 250, 371-391. (doi:10.1007/s00220-004-1087-6) (Pubitemid 39374478)
    • (2004) Communications in Mathematical Physics , vol.250 , Issue.2 , pp. 371-391
    • Hayden, P.1    Leung, D.2    Shor, P.W.3    Winter, A.4
  • 17
    • 33646733083 scopus 로고    scopus 로고
    • Aspects of generic entanglement
    • doi:10.1007/s00220-006-1535-6
    • Hayden, P., Leung, D. W., & Winter, A. 2006 Aspects of generic entanglement. Commun. Math. Phys. 265, 95-117. (doi:10.1007/s00220-006-1535-6)
    • (2006) Commun. Math. Phys. , vol.265 , pp. 95-117
    • Hayden, P.1    Leung, D.W.2    Winter, A.3
  • 19
    • 0001607714 scopus 로고
    • Average entropy of a subsystem
    • doi:10.1103/ PhysRevLett.71.1291
    • Page, D. N. 1993 Average entropy of a subsystem. Phys. Rev. Lett. 71, 1291. (doi:10.1103/ PhysRevLett.71.1291)
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1291
    • Page, D.N.1
  • 20
    • 33750614339 scopus 로고    scopus 로고
    • Entanglement and the foundations of statistical mechanics
    • DOI 10.1038/nphys444, PII NPHYS444
    • Popescu, S., Short, A. J. & Winter, A. 2006 Entanglement and the foundations of statistical mechanics. Nat. Phys. 2, 754-758. (doi:10.1038/nphys444) (Pubitemid 44691281)
    • (2006) Nature Physics , vol.2 , Issue.11 , pp. 754-758
    • Popescu, S.1    Short, A.J.2    Winter, A.3
  • 21
    • 0009502590 scopus 로고
    • Simple proof of Page's conjecture on the average entropy of a subsystem
    • doi:10.1103/PhysRevE.52.5653
    • Sanchez-Ruiz, J. 1995 Simple proof of Page's conjecture on the average entropy of a subsystem. Phys. Rev. E 52, 5653-5655 (doi:10.1103/PhysRevE.52. 5653)
    • (1995) Phys. Rev. E , vol.52 , pp. 5653-5565
    • Sanchez-Ruiz, J.1
  • 22
    • 85025249381 scopus 로고
    • Degree of entanglement
    • doi:10.1111/ j.1749-6632.1995.tb39008.x
    • Shimony, A. 1995 Degree of entanglement. Ann. NY Acad. Sci. 755, 675. (doi:10.1111/ j.1749-6632.1995.tb39008.x)
    • (1995) Ann. NY Acad. Sci. , vol.755 , pp. 675
    • Shimony, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.