메뉴 건너뛰기




Volumn 51, Issue 4, 2005, Pages 1451-1468

Unconditionally secure key distribution in higher dimensions by depolarization

Author keywords

Depolarization; Entanglement purification; Local quantum operation; Pauli error; Phase error correction; Quantum key distribution; Shor Preskill proof; Two way classical communication; Unconditional security

Indexed keywords

BIT ERROR RATE; COMMUNICATION CHANNELS (INFORMATION THEORY); DATA COMMUNICATION SYSTEMS; ERROR CORRECTION; PUBLIC KEY CRYPTOGRAPHY; QUANTUM CRYPTOGRAPHY; QUANTUM THEORY; THEOREM PROVING;

EID: 17744365422     PISSN: 00189448     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIT.2005.844076     Document Type: Article
Times cited : (83)

References (37)
  • 2
    • 17744383617 scopus 로고    scopus 로고
    • "Efficient quantum key distribution scheme and proof of its unconditional security"
    • quant-ph/0011056v2, to be published
    • H.-K. Lo, H. F. Chau, and M. Ardehali, "Efficient quantum key distribution scheme and proof of its unconditional security," J. Crypt.. quant-ph/0011056v2, to be published.
    • J. Crypt.
    • Lo, H.-K.1    Chau, H.F.2    Ardehali, M.3
  • 3
    • 0033605546 scopus 로고    scopus 로고
    • "Unconditional security of quantum key distribution over arbitrarily long distances"
    • H.-K. Lo and H. F. Chau, "Unconditional security of quantum key distribution over arbitrarily long distances," Science, vol. 283, no. 5410, pp. 2050-2056, 1999.
    • (1999) Science , vol.283 , Issue.5410 , pp. 2050-2056
    • Lo, H.-K.1    Chau, H.F.2
  • 4
    • 3042730516 scopus 로고    scopus 로고
    • "Unconditional security in quantum cryptography"
    • D. Mayers, "Unconditional security in quantum cryptography," J. Assoc. Comput. Mach., vol. 48, no. 3, pp. 351-406, 2001.
    • (2001) J. Assoc. Comput. Mach. , vol.48 , Issue.3 , pp. 351-406
    • Mayers, D.1
  • 5
    • 0001872185 scopus 로고    scopus 로고
    • "From quantum cheating to quantum security"
    • D. Gottesman and H.-K. Lo, "From quantum cheating to quantum security," Phys. Today, vol. 53, no. 11, pp. 22-27, 2000.
    • (2000) Phys. Today , vol.53 , Issue.11 , pp. 22-27
    • Gottesman, D.1    Lo, H.-K.2
  • 8
    • 11544350211 scopus 로고    scopus 로고
    • "Optimal eavesdropping in quantum cryptography with six states"
    • D. Bruß, "Optimal eavesdropping in quantum cryptography with six states," Phys. Rev. Lett., vol. 81, no. 14, pp. 3018-3021, 1998.
    • (1998) Phys. Rev. Lett. , vol.81 , Issue.14 , pp. 3018-3021
    • Bruß, D.1
  • 9
    • 85015799749 scopus 로고    scopus 로고
    • "Continuous variable quantum cryptography"
    • T. C. Ralph, "Continuous variable quantum cryptography," Phys. Rev. A, vol. 61, no. 1, pp. 010303(R):1-4, 2000.
    • (2000) Phys. Rev. A , vol.61 , Issue.1 , pp. 1-4
    • Ralph, T.C.1
  • 10
    • 4243332662 scopus 로고    scopus 로고
    • "Quantum cryptography with sequeezed states"
    • M. Hillery, "Quantum cryptography with sequeezed states," Phys. Rev. A, vol. 61, no. 2, pp. 022309:1-8, 2000.
    • (2000) Phys. Rev. A , vol.61 , Issue.2
    • Hillery, M.1
  • 11
    • 0141771056 scopus 로고    scopus 로고
    • "Secure quantum key distribution using squeezed states"
    • D. Gottesman and J. Preskill, "Secure quantum key distribution using squeezed states" Phys. Rev. A, vol. 63, no. 2, pp. 022309:1-18, 2001.
    • (2001) Phys. Rev. A , vol.63 , Issue.2
    • Gottesman, D.1    Preskill, J.2
  • 12
    • 0034300254 scopus 로고    scopus 로고
    • "Quantum cryptography with 3-state systems"
    • H. Bechmann-Pasquinucci and A. Peres, "Quantum cryptography with 3-state systems," Phys. Rev. Lett., vol. 85, no. 15, pp. 3313-3316, 2000.
    • (2000) Phys. Rev. Lett. , vol.85 , Issue.15 , pp. 3313-3316
    • Bechmann-Pasquinucci, H.1    Peres, A.2
  • 13
    • 0033702560 scopus 로고    scopus 로고
    • "Quantum cryptography using larger alphabets"
    • H. Bechmann-Pasquinucci and W. Tittel, "Quantum cryptography using larger alphabets," Phys. Rev. A, vol. 61, no. 6, pp. 062308:1-6, 2000.
    • (2000) Phys. Rev. A , vol.61 , Issue.6
    • Bechmann-Pasquinucci, H.1    Tittel, W.2
  • 14
    • 0035396039 scopus 로고    scopus 로고
    • "Quantum key distribution using multilevel encoding"
    • M. Bourennane, A. Karlsson, and G. Björk, "Quantum key distribution using multilevel encoding," Phys. Rev. A, vol. 64, no. 1, pp. 012306:1-5, 2001.
    • (2001) Phys. Rev. A , vol.64 , Issue.1
    • Bourennane, M.1    Karlsson, A.2    Björk, G.3
  • 15
    • 0037171183 scopus 로고    scopus 로고
    • "Security of quantum key distribution using d-level systems"
    • N. J. Cerf, M. Bourennane, A. Karlsson, and N. Gisin, "Security of quantum key distribution using d-level systems," Phys. Rev. Lett. vol. 88, no. 12, pp. 127902:1-4, 2002.
    • (2002) Phys. Rev. Lett. , vol.88 , Issue.12
    • Cerf, N.J.1    Bourennane, M.2    Karlsson, A.3    Gisin, N.4
  • 16
    • 0037195657 scopus 로고    scopus 로고
    • "Quantum key distribution using multilevel encoding: Security analysis"
    • M. Bourennane, A. Karlsson, G. Björk, N. Gisin, and N. J. Cerf, "Quantum key distribution using multilevel encoding: Security analysis," J. Phys.: A, vol. 35, no. 47, pp. 10065-10076, 2002.
    • (2002) J. Phys.: A , vol.35 , Issue.47 , pp. 10065-10076
    • Bourennane, M.1    Karlsson, A.2    Björk, G.3    Gisin, N.4    Cerf, N.J.5
  • 17
    • 23744454858 scopus 로고    scopus 로고
    • "Unconditionally Secure Key Distribution in Higher Dimensions"
    • quant-ph/0212055v2
    • H. F. Chau, "Unconditionally Secure Key Distribution in Higher Dimensions," quant-ph/0212055v2, 2004.
    • (2004)
    • Chau, H.F.1
  • 18
    • 0037171194 scopus 로고    scopus 로고
    • "Optimal eavesdropping in cryptography with three-dimensional quantum states"
    • D. Bruß and C. Macchiavello, "Optimal eavesdropping in cryptography with three-dimensional quantum states," Phys. Rev. Lett., vol. 88, no. 12, pp. 127901:1-4, 2002.
    • (2002) Phys. Rev. Lett. , vol.88 , Issue.12
    • Bruß, D.1    Macchiavello, C.2
  • 19
    • 0343152990 scopus 로고
    • "Quantum cryptography based on Bell's theorem"
    • A. K. Ekert, "Quantum cryptography based on Bell's theorem," Phys. Rev. Lett., vol. 67, no. 6, pp. 661-663, 1991.
    • (1991) Phys. Rev. Lett. , vol.67 , Issue.6 , pp. 661-663
    • Ekert, A.K.1
  • 21
    • 4243216277 scopus 로고    scopus 로고
    • "Mixed-state entanglement and quantum error correction"
    • C. H. Bennett, D. A. DiVincenzo, J. A. Smolin, and W. K. Wootters, "Mixed-state entanglement and quantum error correction," Phys. Rev. A, vol. 54, no. 5, pp. 3824-3851, 1996.
    • (1996) Phys. Rev. A , vol.54 , Issue.5 , pp. 3824-3851
    • Bennett, C.H.1    Divincenzo, D.A.2    Smolin, J.A.3    Wootters, W.K.4
  • 22
    • 0347090658 scopus 로고    scopus 로고
    • "Simple proof of security of the BB84 quantum key distribution protocol"
    • P. W. Shor and J. Preskill, "Simple proof of security of the BB84 quantum key distribution protocol," Phys. Rev. Lett., vol. 85, no. 2, pp. 441-444, 2000.
    • (2000) Phys. Rev. Lett. , vol.85 , Issue.2 , pp. 441-444
    • Shor, P.W.1    Preskill, J.2
  • 23
    • 0013207242 scopus 로고    scopus 로고
    • "Proof of unconditional security of six-state quantum key distribution scheme"
    • H.-K. Lo, "Proof of unconditional security of six-state quantum key distribution scheme" Quant. Inf. and Comp., vol. 1, no, 2, pp. 81-94, 2001.
    • (2001) Quant. Inf. and Comp. , vol.1 , Issue.2 , pp. 81-94
    • Lo, H.-K.1
  • 24
    • 0037319628 scopus 로고    scopus 로고
    • "Proof of security of quantum key distribution with two-way classical communications"
    • Feb
    • D. Gottesman and H.-K. Lo, "Proof of security of quantum key distribution with two-way classical communications," IEEE Trans. Inf. Theory, vol. 49, no. 2, pp. 457-475, Feb. 2003.
    • (2003) IEEE Trans. Inf. Theory , vol.49 , Issue.2 , pp. 457-475
    • Gottesman, D.1    Lo, H.-K.2
  • 25
    • 0036997507 scopus 로고    scopus 로고
    • "Practical scheme to share a secret key through a quantum channel with a 27.5% bit error rate"
    • H. F. Chau, "Practical scheme to share a secret key through a quantum channel with a 27.5% bit error rate," Phys. Rev. A, vol. 66, no. 6, pp. 060302(R):1-4, 2002.
    • (2002) Phys. Rev. A , vol.66 , Issue.6 , pp. 1-4
    • Chau, H.F.1
  • 26
    • 0035504720 scopus 로고    scopus 로고
    • "Nonbinary quantum stabilizer codes"
    • Nov
    • A. Ashikhmin and E. Knill, "Nonbinary quantum stabilizer codes," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 3065-3072, Nov. 2001.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , Issue.7 , pp. 3065-3072
    • Ashikhminand, A.1    Knill, E.2
  • 27
    • 84972517116 scopus 로고
    • "Two-element generation of the projective unimodular group"
    • A. A. Albert and J. Thompson, "Two-element generation of the projective unimodular group," Illinois J. Math., vol. 3, pp. 421-439, 1959.
    • (1959) Illinois J. Math. , vol.3 , pp. 421-439
    • Albert, A.A.1    Thompson, J.2
  • 28
    • 0035955592 scopus 로고    scopus 로고
    • "Efficient bipartite quantum state purification in arbitrary dimensional hilbert spaces"
    • G. Alber, A. Delgado, N. Gisin, and I. Jex, "Efficient bipartite quantum state purification in arbitrary dimensional hilbert spaces," J. Phys.: A, vol. 34, no. 42, pp. 8821-8833, 2001.
    • (2001) J. Phys.: A , vol.34 , Issue.42 , pp. 8821-8833
    • Alber, G.1    Delgado, A.2    Gisin, N.3    Jex, I.4
  • 30
    • 0033197403 scopus 로고    scopus 로고
    • "Fault-tolerant quantum computation with higher-dimensional systems"
    • D. Gottesman, "Fault-tolerant quantum computation with higher-dimensional systems," Chaos, Solitons & Fractals, vol. 10, no. 10, pp. 1749-1758, 1999.
    • (1999) Chaos, Solitons & Fractals , vol.10 , Issue.10 , pp. 1749-1758
    • Gottesman, D.1
  • 32
    • 0004586188 scopus 로고
    • "Optimal state-determination by mutually unbiased measurements"
    • W. K. Wootters and B. D. Fields, "Optimal state-determination by mutually unbiased measurements," Ann. Phys., vol. 191, no. 2, pp. 363-381, 1989.
    • (1989) Ann. Phys. , vol.191 , Issue.2 , pp. 363-381
    • Wootters, W.K.1    Fields, B.D.2
  • 33
    • 0036508851 scopus 로고    scopus 로고
    • "Mutually unbiased binary observable sets on N qubits"
    • J. Lawrence, C. Brukner, and A. Zeilinger, "Mutually unbiased binary observable sets on N qubits," Phys. Rev. A, vol. 65, no. 3, pp. 032320:1-5, 2002.
    • (2002) Phys. Rev. A , vol.65 , Issue.3
    • Lawrence, J.1    Brukner, C.2    Zeilinger, A.3
  • 34
    • 0141991892 scopus 로고    scopus 로고
    • "A new proof for the existence of mutually unbiased bases"
    • S. Bandyopadhyay, P. O. Boykin, V. Roychowdhury, and F. Vatan, "A new proof for the existence of mutually unbiased bases," Algorithmica vol. 34, no. 4, pp. 512-528, 2002.
    • (2002) Algorithmica , vol.34 , Issue.4 , pp. 512-528
    • Bandyopadhyay, S.1    Boykin, P.O.2    Roychowdhury, V.3    Vatan, F.4
  • 36
    • 0003482808 scopus 로고
    • Berlin: Springer-Verlag
    • B. Huppert, Endliche Gruppen I. Berlin: Springer-Verlag, 1967, pp. 198-198.
    • (1967) Endliche Gruppen I. , pp. 198
    • Huppert, B.1
  • 37
    • 0004220560 scopus 로고
    • Berlin: Springer-Berlag
    • T. W. Hungerford, Algebra. Berlin: Springer-Berlag, 1974, pp. 97-98.
    • (1974) Algebra , pp. 97-98
    • Hungerford, T.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.