메뉴 건너뛰기




Volumn 291, Issue 3, 2009, Pages 813-843

Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding

Author keywords

[No Author keywords available]

Indexed keywords


EID: 70350695994     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-009-0890-5     Document Type: Article
Times cited : (227)

References (38)
  • 3
    • 0004267646 scopus 로고    scopus 로고
    • Princeton, NJ: Princeton University Press
    • Rockafellar R.T.: Convex Analysis. Princeton University Press, Princeton, NJ (1997).
    • (1997) Convex Analysis
    • Rockafellar, R.T.1
  • 7
    • 18844456537 scopus 로고    scopus 로고
    • SIC-POVMs and the Extended Clifford Group
    • Appleby D.M.: SIC-POVMs and the Extended Clifford Group. in J. Math. Phys. 46, 052107 (2005).
    • (2005) J. Math. Phys. , vol.46 , pp. 052107
    • Appleby, D.M.1
  • 9
    • 63849189355 scopus 로고    scopus 로고
    • The Chernoff lower bound for symmetric quantum hypothesis testing
    • Nussbaum, M., Szkoła, A.: The Chernoff lower bound for symmetric quantum hypothesis testing. Ann. Stat. 37, no. 2, 1040-1057 (2009).
    • (2009) Ann. Stat. , vol.37 , Issue.2 , pp. 1040-1057
    • Nussbaum, M.1    Szkoła, A.2
  • 10
    • 51349164960 scopus 로고    scopus 로고
    • State Discrimination with Post-Measurement Information
    • Ballester, M.A., Wehner, S., Winter, A.: State Discrimination with Post-Measurement Information. In: IEEE Trans. Inf. Theory 54, no. 9, 4183-4198 (2008).
    • (2008) IEEE Trans. Inf. Theory , vol.54 , Issue.9 , pp. 4183-4198
    • Ballester, M.A.1    Wehner, S.2    Winter, A.3
  • 13
    • 0031210864 scopus 로고    scopus 로고
    • The Fourth Moment Method
    • Berger B.: The Fourth Moment Method. SIAM J. Comput. 24(6), 1188-1207 (1997).
    • (1997) SIAM J. Comput. , vol.24 , Issue.6 , pp. 1188-1207
    • Berger, B.1
  • 14
    • 0000817812 scopus 로고
    • An Estimate of the Remainder in a Combinatorial Central Limit Theorem
    • Bolthausen E.: An Estimate of the Remainder in a Combinatorial Central Limit Theorem. Zeits. für Wahrsch. und Verw. Geb. 66, 387-405 (1984).
    • (1984) Zeits. für Wahrsch. und Verw. Geb. , vol.66 , pp. 387-405
    • Bolthausen, E.1
  • 15
    • 0037179388 scopus 로고    scopus 로고
    • Hiding Classical Data in Multipartite Quantum States
    • Eggeling T., Werner R.F.: Hiding Classical Data in Multipartite Quantum States. Phys. Rev. Lett. 89(9), 097905 (2002).
    • (2002) Phys. Rev. Lett. , vol.89 , Issue.9 , pp. 097905
    • Eggeling, T.1    Werner, R.F.2
  • 16
    • 33947203260 scopus 로고    scopus 로고
    • On SIC-POVMs in Prime Dimensions
    • Flammia S.: On SIC-POVMs in Prime Dimensions. J. Phys. A. Math. Gen. 39, 10901-10907 (2006).
    • (2006) J. Phys. A. Math. Gen. , vol.39 , pp. 10901-10907
    • Flammia, S.1
  • 17
    • 0032667067 scopus 로고    scopus 로고
    • Cryptographic distinguishability measures for quantum-mechanical states
    • Fuchs C.A., van de Graaf J.: Cryptographic distinguishability measures for quantum-mechanical states. IEEE Trans. Inf. Theory 45(4), 1216-1227 (1999).
    • (1999) IEEE Trans. Inf. Theory , vol.45 , Issue.4 , pp. 1216-1227
    • Fuchs, C.A.1    van de Graaf, J.2
  • 18
    • 33947203260 scopus 로고    scopus 로고
    • On SIC-POVMs and MUBs in Dimension 6
    • Grassl M.: On SIC-POVMs and MUBs in Dimension 6. J. Phys. A: Math. Gen. 39, 13483-13493 (2006).
    • (2006) J. Phys. A: Math. Gen. , vol.39 , pp. 13483-13493
    • Grassl, M.1
  • 20
    • 0042376719 scopus 로고    scopus 로고
    • Separability of Mixed States: Necessary and Sufficient Conditions
    • Horodecki M., Horodecki P., Horodecki R.: Separability of Mixed States: Necessary and Sufficient Conditions. Phys. Lett. A 223, 1-8 (1996).
    • (1996) Phys. Lett. A , vol.223 , pp. 1-8
    • Horodecki, M.1    Horodecki, P.2    Horodecki, R.3
  • 21
    • 0036994563 scopus 로고    scopus 로고
    • Largest separable balls around the maximally mixed bipartite quantum state
    • Gurvits, L., Barnum, H.: Largest separable balls around the maximally mixed bipartite quantum state. Phys. Rev. A 66, 062311 (2002).
    • (2002) Phys. Rev. A , vol.66 , pp. 062311
    • Gurvits, L.1    Barnum, H.2
  • 22
    • 18244422208 scopus 로고    scopus 로고
    • Separable balls around the maximally mixed multipartite quantum states
    • Gurvits, L., Barnum, H.: Separable balls around the maximally mixed multipartite quantum states. Phys. Rev. A 68, 042312 (2003).
    • (2003) Phys. Rev. A , vol.68 , pp. 042312
    • Gurvits, L.1    Barnum, H.2
  • 23
    • 0030528002 scopus 로고    scopus 로고
    • McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions
    • Hardin R.H., Sloane N.J.A.: McLaren's Improved Snub Cube and Other New Spherical Designs in Three Dimensions. Discrete and Comput. Geom. 15, 429-441 (1996).
    • (1996) Discrete and Comput. Geom. , vol.15 , pp. 429-441
    • Hardin, R.H.1    Sloane, N.J.A.2
  • 24
    • 5644232846 scopus 로고    scopus 로고
    • Randomizing Quantum States: Constructions and Applications
    • Hayden P., Leung D., Shor P.W., Winter A.: Randomizing Quantum States: Constructions and Applications. Commun. Math. Phys. 250(2), 371-391 (2004).
    • (2004) Commun. Math. Phys. , vol.250 , Issue.2 , pp. 371-391
    • Hayden, P.1    Leung, D.2    Shor, P.W.3    Winter, A.4
  • 26
    • 0015723650 scopus 로고
    • Statistical decision theory for quantum systems
    • Holevo, A.S.: Statistical decision theory for quantum systems. J. Multivariate Anal. 3(4), 337-394, (1973).
    • (1973) J. Multivariate Anal. , vol.3 , Issue.4 , pp. 337-394
    • Holevo, A.S.1
  • 27
    • 0000006133 scopus 로고
    • Lower bound for accessible information in quantum mechanics
    • Jozsa R., Robb D., Wootters W.K.: Lower bound for accessible information in quantum mechanics. Phys. Rev. A 49(2), 668-677 (1994).
    • (1994) Phys. Rev. A , vol.49 , Issue.2 , pp. 668-677
    • Jozsa, R.1    Robb, D.2    Wootters, W.K.3
  • 28
    • 33749427423 scopus 로고    scopus 로고
    • Mutually Unbiased Bases are complex spherical 2-designs
    • Piscataway, NJ: IEEE
    • Klappenecker, A., Roetteler, M.: Mutually Unbiased Bases are complex spherical 2-designs. In: Proc. ISIT 2005, Piscataway, NJ: IEEE, 2005, pp. 1740-1744.
    • (2005) Proc. ISIT 2005 , pp. 1740-1744
    • Klappenecker, A.1    Roetteler, M.2
  • 29
    • 55949105179 scopus 로고    scopus 로고
    • On the Chernoff distance for asymptotic LOCC discrimination of bipartite quantum states
    • 2008
    • Matthews, W., Winter, A.: On the Chernoff distance for asymptotic LOCC discrimination of bipartite quantum states. Commun. Math. Phys. 285(1), 161-174 (2009); http://arxiv.org/abs/0710.4113v2[quant-ph], 2008.
    • (2009) Commun. Math. Phys. , vol.285 , Issue.1 , pp. 161-174
    • Matthews, W.1    Winter, A.2
  • 32
    • 0010195752 scopus 로고
    • Entropic uncertainty and certainty relations for complementary observables
    • Sanchez-Ruiz, J.: Entropic uncertainty and certainty relations for complementary observables. Phys. Lett. A 173(3), 233-239 (1993).
    • (1993) Phys. Lett. A , vol.173 , Issue.3 , pp. 233-239
    • Sanchez-Ruiz, J.1
  • 33
    • 0000341109 scopus 로고
    • Improved bounds in the entropic uncertainty and certainty relations for complementary observables
    • Improved bounds in the entropic uncertainty and certainty relations for complementary observables. Phys. Lett. A 201(2-3), 125-131 (1995).
    • (1995) Phys. Lett. A , vol.201 , Issue.2-3 , pp. 125-131
  • 34
    • 33751260527 scopus 로고    scopus 로고
    • Distillation protocols that involve local distinguishing: Composing upper and lower bounds on locally accessible information
    • Sen De A., Sen U., Lewenstein M.: Distillation protocols that involve local distinguishing: Composing upper and lower bounds on locally accessible information. Phys. Rev. A 74, 052332 (2006).
    • (2006) Phys. Rev. A , vol.74 , pp. 052332
    • de Sen, A.1    Sen, U.2    Lewenstein, M.3
  • 37
    • 0004586188 scopus 로고
    • Optimal state-determination by mutually unbiased measurements
    • Wootters W.K., Fields B.D.: Optimal state-determination by mutually unbiased measurements. Ann. Phys. 191, 363-381 (1989).
    • (1989) Ann. Phys. , vol.191 , pp. 363-381
    • Wootters, W.K.1    Fields, B.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.