메뉴 건너뛰기




Volumn 49, Issue 10, 2008, Pages

The structure of degradable quantum channels

Author keywords

[No Author keywords available]

Indexed keywords


EID: 55349121506     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2953685     Document Type: Article
Times cited : (143)

References (38)
  • 1
    • 0032099694 scopus 로고    scopus 로고
    • Information transmission through a noisy quantum channel
    • 1050-2947 10.1103/PhysRevA.57.4153, (); e-print arXiv:quant-ph/9702049.
    • Barnum, H., Nielsen, M., and Schumacher, B., " Information transmission through a noisy quantum channel.," Phys. Rev. A 1050-2947 10.1103/PhysRevA.57.4153 57, 4153 (1998); e-print arXiv:quant-ph/9702049.
    • (1998) Phys. Rev. A , vol.57 , pp. 4153
    • Barnum, H.1    Nielsen, M.2    Schumacher, B.3
  • 2
    • 0000083906 scopus 로고    scopus 로고
    • Capacities of quantum erasure channels
    • 0031-9007 10.1103/PhysRevLett.78.3217, (); e-print arXiv:quant-ph/ 9701015.
    • Bennett, C. H., DiVincenzo, D. P., and Smolin, J. A., " Capacities of quantum erasure channels.," Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.78.3217 78, 3217 (1997); e-print arXiv:quant-ph/9701015.
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 3217
    • Bennett, C.H.1    Divincenzo, D.P.2    Smolin, J.A.3
  • 3
    • 0001102622 scopus 로고    scopus 로고
    • Optimal universal and state-dependent quantum cloning
    • 1050-2947 10.1103/PhysRevA.57.2368.
    • Bruß, D., DiVincenzo, D. P., Ekert, A., Fuchs, C. A., Macchiavello, C., and Smolin, J. A., " Optimal universal and state-dependent quantum cloning.," Phys. Rev. A 1050-2947 10.1103/PhysRevA.57.2368 57, 2368 (1998).
    • (1998) Phys. Rev. a , vol.57 , pp. 2368
    • Bruß, D.1    Divincenzo, D.P.2    Ekert, A.3    Fuchs, C.A.4    MacChiavello, C.5    Smolin, J.A.6
  • 4
    • 33845362403 scopus 로고    scopus 로고
    • One-mode Bosonic Gaussian channels: A full weak-degradability classification
    • 1367-2630 10.1088/1367-2630/8/12/310.
    • Caruso, F., Giovanetti, V., and Holevo, A. S., " One-mode Bosonic Gaussian channels: A full weak-degradability classification.," New J. Phys. 1367-2630 10.1088/1367-2630/8/12/310 8, 310 (2006).
    • (2006) New J. Phys. , vol.8 , pp. 310
    • Caruso, F.1    Giovanetti, V.2    Holevo, A.S.3
  • 5
    • 0001283653 scopus 로고    scopus 로고
    • Quantum cloning and the capacity of the Pauli channel
    • 0031-9007 10.1103/PhysRevLett.84.4497.
    • Cerf, N. J., " Quantum cloning and the capacity of the Pauli channel.," Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.84.4497 84, 4497 (2000).
    • (2000) Phys. Rev. Lett. , vol.84 , pp. 4497
    • Cerf, N.J.1
  • 6
    • 0015287303 scopus 로고
    • Broadcast channels
    • 0018-9448 10.1109/TIT.1972.1054727.
    • Cover, T., " Broadcast channels.," IEEE Trans. Inf. Theory 0018-9448 10.1109/TIT.1972.1054727 18, 2 (1972).
    • (1972) IEEE Trans. Inf. Theory , vol.18 , pp. 2
    • Cover, T.1
  • 7
    • 0032184236 scopus 로고    scopus 로고
    • Comments on broadcast channels
    • 0018-9448 10.1109/18.720547.
    • Cover, T., " Comments on broadcast channels.," IEEE Trans. Inf. Theory 0018-9448 10.1109/18.720547 44, 2524 (1998).
    • (1998) IEEE Trans. Inf. Theory , vol.44 , pp. 2524
    • Cover, T.1
  • 8
    • 0017973511 scopus 로고
    • Broadcast channels with confidential messages
    • 0018-9448 10.1109/TIT.1978.1055892.
    • Csiszar, I. and Korner, J., " Broadcast channels with confidential messages.," IEEE Trans. Inf. Theory 0018-9448 10.1109/TIT.1978.1055892 24, 339 (1978).
    • (1978) IEEE Trans. Inf. Theory , vol.24 , pp. 339
    • Csiszar, I.1    Korner, J.2
  • 9
    • 33745169017 scopus 로고    scopus 로고
    • Complementarity and additivity for covariant channels
    • 1570-0755 10.1007/s11128-006-0021-6.
    • Datta, N., Fukuda, M., and Holevo, A. S. " Complementarity and additivity for covariant channels.," Quantum Inf. Process. 1570-0755 10.1007/s11128-006-0021-6 5, 179 (2006).
    • (2006) Quantum Inf. Process. , vol.5 , pp. 179
    • Datta, N.1    Fukuda, M.2    Holevo, A.S.3
  • 10
    • 12444299059 scopus 로고    scopus 로고
    • The private classical capacity and quantum capacity of a quantum channel
    • 0018-9448 10.1109/TIT.2004.839515.
    • I. Devetak, " The private classical capacity and quantum capacity of a quantum channel. " IEEE Trans. Inf. Theory 0018-9448 10.1109/TIT.2004.839515 51, 44 (2005).
    • (2005) IEEE Trans. Inf. Theory , vol.51 , pp. 44
    • Devetak, I.1
  • 11
    • 17744393885 scopus 로고    scopus 로고
    • The capacity of a quantum channel for simultaneous transmission of classical and quantum information
    • 0010-3616 10.1007/s00220-005-1317-6, (); e-print arXiv:quant-ph/0311131.
    • Devetak, I. and Shor, P. W., " The capacity of a quantum channel for simultaneous transmission of classical and quantum information.," Commun. Math. Phys. 0010-3616 10.1007/s00220-005-1317-6 256, 287 (2005); e-print arXiv:quant-ph/0311131.
    • (2005) Commun. Math. Phys. , vol.256 , pp. 287
    • Devetak, I.1    Shor, P.W.2
  • 12
    • 17144413068 scopus 로고    scopus 로고
    • Distillation of secret key and entanglement from quantum states
    • 0950-1207 10.1098/rspa.2004.1372, (); e-print arXiv:quant-ph/0306078.
    • Devetak, I. and Winter, A., " Distillation of secret key and entanglement from quantum states.," Proc. R. Soc. London, Ser. A 0950-1207 10.1098/rspa.2004.1372 461, 207 (2005); e-print arXiv:quant-ph/0306078.
    • (2005) Proc. R. Soc. London, Ser. a , vol.461 , pp. 207
    • Devetak, I.1    Winter, A.2
  • 13
    • 0000286896 scopus 로고    scopus 로고
    • Quantum-channel capacity of very noisy channels
    • 1050-2947 10.1103/PhysRevA.57.830.
    • DiVincenzo, D. P., Shor, P. W., and Smolin, J. A., " Quantum-channel capacity of very noisy channels.," Phys. Rev. A 1050-2947 10.1103/PhysRevA.57.830 57, 830 (1998).
    • (1998) Phys. Rev. a , vol.57 , pp. 830
    • Divincenzo, D.P.1    Shor, P.W.2    Smolin, J.A.3
  • 14
  • 15
    • 34547605048 scopus 로고    scopus 로고
    • Simplifying additivity problems using direct sum constructions
    • 0022-2488 10.1063/1.2746128, (); e-print arXiv:0704.1092.
    • Fukuda, M. and Wolf, M. M., " Simplifying additivity problems using direct sum constructions.," J. Math. Phys. 0022-2488 10.1063/1.2746128 48, 072101 (2007); e-print arXiv:0704.1092.
    • (2007) J. Math. Phys. , vol.48 , pp. 072101
    • Fukuda, M.1    Wolf, M.M.2
  • 16
    • 18544379603 scopus 로고    scopus 로고
    • Information capacity description of spin-chain correlations
    • 1050-2947 10.1103/PhysRevA.71.032314.
    • Giovannetti, V. and Fazio, R., " Information capacity description of spin-chain correlations.," Phys. Rev. A 1050-2947 10.1103/PhysRevA.71. 032314 71, 032314 (2005).
    • (2005) Phys. Rev. a , vol.71 , pp. 032314
    • Giovannetti, V.1    Fazio, R.2
  • 17
    • 33750517424 scopus 로고    scopus 로고
    • On complementary channels and the additivity problem
    • 0040-585X, (); e-print arXiv:quant-ph/0509101.
    • Holevo, A. S., " On complementary channels and the additivity problem.," Theor. Probab. Appl. 0040-585X 51, 133 (2005); e-print arXiv:quant-ph/0509101.
    • (2005) Theor. Probab. Appl. , vol.51 , pp. 133
    • Holevo, A.S.1
  • 18
    • 34247618287 scopus 로고    scopus 로고
    • One-mode quantum Gaussian channels
    • 0032-9460 10.1134/S0032946007010012, (); e-print arXiv:quant-ph/0607051.
    • Holevo, A. S., " One-mode quantum Gaussian channels.," Probl. Inf. Transm. 0032-9460 10.1134/S0032946007010012 43, 1 (2007); e-print arXiv:quant-ph/0607051.
    • (2007) Probl. Inf. Transm. , vol.43 , pp. 1
    • Holevo, A.S.1
  • 19
    • 55349120457 scopus 로고    scopus 로고
    • e-print arXiv:0802.0235.
    • Holevo, A. S., e-print arXiv:0802.0235.
    • Holevo, A.S.1
  • 20
    • 0141481846 scopus 로고    scopus 로고
    • Entanglement breaking channels
    • 0129-055X 10.1142/S0129055X03001709, (); e-print arXiv:quant-ph/030203.
    • Horodecki, M., Shor, P., and Ruskai M. B., " Entanglement breaking channels.," Rev. Math. Phys. 0129-055X 10.1142/S0129055X03001709 15, 629 (2003); e-print arXiv:quant-ph/030203.
    • (2003) Rev. Math. Phys. , vol.15 , pp. 629
    • Horodecki, M.1    Shor, P.2    Ruskai, M.B.3
  • 21
    • 55349086849 scopus 로고    scopus 로고
    • Proceedings of XIVth International Congress on Mathematical Physics, edited by J. -C. Zambrini (World Scientific, Singapore)
    • King, C., Proceedings of XIVth International Congress on Mathematical Physics, edited by, J. -C. Zambrini, (World Scientific, Singapore, 2005), pp. 486-490.
    • (2005) , pp. 486-490
    • King, C.1
  • 22
    • 35548937371 scopus 로고    scopus 로고
    • Properties of conjugate channels with applications to additivity and multiplicativity
    • 1024-2953, (); e-print arXiv:quant-ph/0509126.
    • King, C., Matsumoto, K., Nathanson, M., and Ruskai, M. B., " Properties of conjugate channels with applications to additivity and multiplicativity.," Markov Processes Relat. Fields 1024-2953 13, 391 (2007); e-print arXiv:quant-ph/0509126.
    • (2007) Markov Processes Relat. Fields , vol.13 , pp. 391
    • King, C.1    Matsumoto, K.2    Nathanson, M.3    Ruskai, M.B.4
  • 23
    • 0035089746 scopus 로고    scopus 로고
    • Minimal entropy of states emerging from noisy quantum channels
    • 0018-9448, (); e-print arXiv:quant-ph/9911079.
    • King, C. and Ruskai, M. B., " Minimal entropy of states emerging from noisy quantum channels.," IEEE Trans. Inf. Theory 0018-9448 47, 1 (2001); e-print arXiv:quant-ph/9911079.
    • (2001) IEEE Trans. Inf. Theory , vol.47 , pp. 1
    • King, C.1    Ruskai, M.B.2
  • 24
    • 1542365806 scopus 로고
    • On Birkhoff's theorem for doubly stochastic completely positive maps of matrix algebras
    • 0024-3795 10.1016/0024-3795(93)90274-R.
    • Landau, L. J. and Streater, R. F., " On Birkhoff's theorem for doubly stochastic completely positive maps of matrix algebras.," Linear Algebr. Appl. 0024-3795 10.1016/0024-3795(93)90274-R 193, 107 (1993).
    • (1993) Linear Algebr. Appl. , vol.193 , pp. 107
    • Landau, L.J.1    Streater, R.F.2
  • 25
    • 0001521178 scopus 로고    scopus 로고
    • Capacity of the noisy quantum channel
    • 1050-2947 10.1103/PhysRevA.55.1613.
    • Lloyd, S., " Capacity of the noisy quantum channel.," Phys. Rev. A 1050-2947 10.1103/PhysRevA.55.1613 55, 1613 (1997).
    • (1997) Phys. Rev. a , vol.55 , pp. 1613
    • Lloyd, S.1
  • 27
    • 34547460550 scopus 로고    scopus 로고
    • Pauli diagonal channels constant on axes
    • 1751-8113.
    • Nathanson, M. and Ruskai, M. B., " Pauli diagonal channels constant on axes.," J. Phys. A: Math. Theor. 1751-8113 40, 8171 (2007).
    • (2007) J. Phys. A: Math. Theor. , vol.40 , pp. 8171
    • Nathanson, M.1    Ruskai, M.B.2
  • 28
    • 0032382058 scopus 로고    scopus 로고
    • Optimal copying of one quantum bit
    • 1050-2947 10.1103/PhysRevA.58.4377.
    • Niu, C.-S. and Griffiths, R. " Optimal copying of one quantum bit.," Phys. Rev. A 1050-2947 10.1103/PhysRevA.58.4377 58, 4377 (1998).
    • (1998) Phys. Rev. a , vol.58 , pp. 4377
    • Niu, C.-S.1    Griffiths, R.2
  • 29
    • 31244433606 scopus 로고    scopus 로고
    • An analysis of completely positive trace-preserving maps
    • 0024-3795 10.1016/S0024-3795(01)00547-X.
    • Ruskai, M. B., Szarek, S., and Werner, E., " An analysis of completely positive trace-preserving maps.," Linear Algebr. Appl. 0024-3795 10.1016/S0024-3795(01)00547-X 347, 159 (2002).
    • (2002) Linear Algebr. Appl. , vol.347 , pp. 159
    • Ruskai, M.B.1    Szarek, S.2    Werner, E.3
  • 30
    • 0141816571 scopus 로고    scopus 로고
    • Qubit entanglement breaking channels
    • 0129-055X 10.1142/S0129055X03001710, (); e-print arXiv:quant-ph/0302032.
    • Ruskai, M. B., " Qubit entanglement breaking channels.," Rev. Math. Phys. 0129-055X 10.1142/S0129055X03001710 15, 643 (2003); e-print arXiv:quant-ph/0302032.
    • (2003) Rev. Math. Phys. , vol.15 , pp. 643
    • Ruskai, M.B.1
  • 31
    • 55349087200 scopus 로고    scopus 로고
    • announced at MSRI workshop, November,. Notes at.
    • Shor, P. W., announced at MSRI workshop, November, 2002. Notes at www.msri.org/publications/ln/msri/2002/quantumcrypto/shor/1/index.html.
    • (2002)
    • Shor, P.W.1
  • 32
    • 49249084646 scopus 로고    scopus 로고
    • The private classical capacity with a symmetric side channel and its application to quantum cryptography
    • e-print arXiv:0705.3838.
    • Smith, G., " The private classical capacity with a symmetric side channel and its application to quantum cryptography. " Phys. Rev. A 78, 022306 (2008); e-print arXiv:0705.3838.
    • (2008) Phys. Rev. a , vol.78 , pp. 022306
    • Smith, G.1
  • 33
    • 33846359336 scopus 로고    scopus 로고
    • Degenerate quantum codes for Pauli channels
    • 0031-9007 10.1103/PhysRevLett.98.030501.
    • Smith, G. and Smolin, J. A., " Degenerate quantum codes for Pauli channels.," Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.98.030501 98, 030501 (2007).
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 030501
    • Smith, G.1    Smolin, J.A.2
  • 34
    • 51349117868 scopus 로고    scopus 로고
    • The quantum capacity with symmetric side channels
    • e-print arXiv:quant-ph/0607039.
    • Smith, G., Smolin, J., and Winter, A., " The quantum capacity with symmetric side channels.," IEEE Trans. Inf. Theory 54, 4208 (2008); e-print arXiv:quant-ph/0607039.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , pp. 4208
    • Smith, G.1    Smolin, J.2    Winter, A.3
  • 35
    • 55349125630 scopus 로고    scopus 로고
    • e-print arXiv:quant-ph/0510040.
    • Størmer, E., e-print arXiv:quant-ph/0510040.
    • Størmer, E.1
  • 36
    • 33846353782 scopus 로고    scopus 로고
    • Quantum capacities of channels with small environment
    • 1050-2947 10.1103/PhysRevA.75.012303, (); e-print arXiv:quant-ph/0607070.
    • Wolf, M. M. and Perez-Garcia, D., " Quantum capacities of channels with small environment.," Phys. Rev. A 1050-2947 10.1103/PhysRevA.75.012303 75, 012303 (2007); e-print arXiv:quant-ph/0607070.
    • (2007) Phys. Rev. a , vol.75 , pp. 012303
    • Wolf, M.M.1    Perez-Garcia, D.2
  • 37
    • 33947619639 scopus 로고    scopus 로고
    • Quantum capacities of bosonic channels
    • 0031-9007 10.1103/PhysRevLett.98.130501.
    • Wolf, M. M., Perez-Garcia, D., and Giedke, G., " Quantum capacities of bosonic channels.," Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.98. 130501 98, 130501 (2007).
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 130501
    • Wolf, M.M.1    Perez-Garcia, D.2    Giedke, G.3
  • 38
    • 46749101487 scopus 로고    scopus 로고
    • Capacity theorems for quantum multiple access channels: Classical-quantum and quantum-quantum capacity Regions
    • e-print arXiv:quant-ph/0501045.
    • Yard, J., Devetak, I., and Hayden, P. " Capacity theorems for quantum multiple access channels: Classical-quantum and quantum-quantum capacity Regions.," IEEE Trans. Inf. Theory 54, 3091 (2008); e-print arXiv:quant-ph/0501045.
    • (2008) IEEE Trans. Inf. Theory , vol.54 , pp. 3091
    • Yard, J.1    Devetak, I.2    Hayden, P.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.