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Volumn 41, Issue 39, 2008, Pages

Constructive quantum Shannon decomposition from Cartan involutions

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EID: 54749128643     PISSN: 17518113     EISSN: 17518121     Source Type: Journal    
DOI: 10.1088/1751-8113/41/39/395305     Document Type: Article
Times cited : (46)

References (54)
  • 1
    • 0022421379 scopus 로고
    • Quantum theory, the church-turing principle and the universal quantum computer
    • Deutsch D 1985 Quantum theory, the church-turing principle and the universal quantum computer Proc. R. Soc. Lond. A 400
    • (1985) Proc. R. Soc. Lond. , vol.400
    • Deutsch, D.1
  • 2
    • 0142051871 scopus 로고    scopus 로고
    • Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer
    • Shor P W 1997 Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer SIAM J. Sci. Stat. Comput. 26 1484
    • (1997) SIAM J. Sci. Stat. Comput. , vol.26 , pp. 1484
    • Shor, P.W.1
  • 3
    • 4243807288 scopus 로고    scopus 로고
    • Quantum mechanics helps in searching for a needle in a haystack
    • Grover L K 1997 Quantum mechanics helps in searching for a needle in a haystack Phys. Rev. Lett. 79 325-8
    • (1997) Phys. Rev. Lett. , vol.79 , Issue.2 , pp. 325-328
    • Grover, L.K.1
  • 4
    • 51249180339 scopus 로고
    • Simulating physics with computers
    • Feynman R P 1982 Simulating physics with computers Int. J. Theor. Phys. 21 467-88
    • (1982) Int. J. Theor. Phys. , vol.21 , Issue.6-7 , pp. 467-488
    • Feynman, R.P.1
  • 6
    • 1542405949 scopus 로고    scopus 로고
    • Simulating quantum systems on a quantum computer
    • Zalka C 1998 Simulating quantum systems on a quantum computer Proc.: Math. Phys. Eng. Sci. 454 313-22
    • (1998) Proc.: Math. Phys. Eng. Sci. , vol.454 , Issue.1969 , pp. 313-322
    • Zalka, C.1
  • 7
    • 0029838223 scopus 로고    scopus 로고
    • Universal quantum simulators
    • Lloyd S 1996 Universal quantum simulators Science 273 1073-8
    • (1996) Science , vol.273 , Issue.5278 , pp. 1073-1078
    • Lloyd, S.1
  • 8
    • 0031222446 scopus 로고    scopus 로고
    • Simulation of many-body fermi systems on a universal quantum computer
    • Abrams D S and Lloyd S 1997 Simulation of many-body fermi systems on a universal quantum computer Phys. Rev. Lett. 79 2586-9
    • (1997) Phys. Rev. Lett. , vol.79 , Issue.13 , pp. 2586-2589
    • Abrams, D.S.1    Lloyd, S.2
  • 9
    • 0032162402 scopus 로고    scopus 로고
    • Simulating quantum mechanics on a quantum computer
    • Boghosian B M and IV Taylor W 1998 Simulating quantum mechanics on a quantum computer Physica D 120 30-42
    • (1998) Physica , vol.120 , Issue.1-2 , pp. 30-42
    • Boghosian, B.M.1    Taylor, W.I.V.2
  • 10
    • 24644496083 scopus 로고    scopus 로고
    • Simulated quantum computation of molecular energies
    • Aspuru-Guzik A, Dutoi A D, Love P J and Head-Gordon M 2005 Simulated quantum computation of molecular energies Science 309 1704-7
    • (2005) Science , vol.309 , Issue.5741 , pp. 1704-1707
    • Aspuru-Guzik, A.1    Dutoi, A.D.2    Love, P.J.3    Head-Gordon, M.4
  • 13
    • 0031016537 scopus 로고    scopus 로고
    • Bulk spin-resonance quantum computation
    • Gershenfeld N A and Chuang I L 1997 Bulk spin-resonance quantum computation Science 275 350-6
    • (1997) Science , vol.275 , Issue.5298 , pp. 350-356
    • Gershenfeld, N.A.1    Chuang, I.L.2
  • 15
    • 12144281286 scopus 로고    scopus 로고
    • Coupling of Josephson current qubits using a connecting loop
    • Kim M D and Hong J 2004 Coupling of Josephson current qubits using a connecting loop Phys. Rev. B 70 184525
    • (2004) Phys. Rev. , vol.70 , Issue.18 , pp. 184525
    • Kim, M.D.1    Hong, J.2
  • 16
    • 0035924370 scopus 로고    scopus 로고
    • Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
    • Vandersypen L M K, Steffen M, Breyta G, Yannoni C S, Sherwood M H and Chuang I L 2001 Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance Nature 414 883-7
    • (2001) Nature , vol.414 , Issue.6866 , pp. 883-887
    • Vandersypen, L.M.K.1    Steffen, M.2    Breyta, G.3    Yannoni, C.S.4    Sherwood, M.H.5    Chuang, I.L.6
  • 18
    • 22244464523 scopus 로고    scopus 로고
    • Implementation of a quantum algorithm on a nuclear magnetic resonance quantum computer
    • Jones J A and Mosca M 1998 Implementation of a quantum algorithm on a nuclear magnetic resonance quantum computer J. Chem. Phys. 109 1648-53
    • (1998) J. Chem. Phys. , vol.109 , Issue.5 , pp. 1648-1653
    • Jones, J.A.1    Mosca, M.2
  • 20
    • 0037468839 scopus 로고    scopus 로고
    • Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate
    • Leibfried D et al 2003 Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate Nature 422 412-5
    • (2003) Nature , vol.422 , Issue.6930 , pp. 412-415
    • Leibfried, D.1    Al, E.2
  • 22
    • 0242442577 scopus 로고    scopus 로고
    • Experimental controlled-not logic gate for single photons in the coincidence basis
    • Pittman T B, Fitch M J, Jacobs B C and Franson J D 2003 Experimental controlled-not logic gate for single photons in the coincidence basis Phys. Rev. A 68 032316
    • (2003) Phys. Rev. , vol.68 , Issue.3 , pp. 032316
    • Pittman, T.B.1    Fitch, M.J.2    Jacobs, B.C.3    Franson, J.D.4
  • 23
    • 18144381235 scopus 로고    scopus 로고
    • Experimental demonstration of a nondestructive controlled-not quantum gate for two independent photon qubits
    • Zhao Z, Zhang A-N, Chen Y-A, Zhang H, Jiang-Feng D, Yang T and Pan J-W 2005 Experimental demonstration of a nondestructive controlled-not quantum gate for two independent photon qubits Phys. Rev. Lett. 94 030501
    • (2005) Phys. Rev. Lett. , vol.94 , Issue.3 , pp. 030501
    • Zhao, Z.1    Zhang, A.-N.2    Chen, Y.-A.3    Zhang, H.4    Jiang-Feng, D.5    Yang, T.6    Pan, J.-W.7
  • 25
    • 33746688531 scopus 로고    scopus 로고
    • Quantum algorithms and the Fourier transform
    • Jozsa R 1998 Quantum algorithms and the Fourier transform Proc.: Math. Phys. Eng. Sci. 454 323-37
    • (1998) Proc.: Math. Phys. Eng. Sci. , vol.454 , Issue.1969 , pp. 323-337
    • Jozsa, R.1
  • 30
    • 4043169961 scopus 로고    scopus 로고
    • Minimal universal two-qubit controlled-not-based circuits
    • Shende V V, Markov I L and Bullock S S 2004 Minimal universal two-qubit controlled-not-based circuits Phys. Rev. A 69 062321
    • (2004) Phys. Rev. , vol.69 , Issue.6 , pp. 062321
    • Shende, V.V.1    Markov, I.L.2    Bullock, S.S.3
  • 33
    • 7544236723 scopus 로고
    • History and generality of the CS decomposition
    • Paige C C and Wei M 1994 History and generality of the CS decomposition Linear Alg. App. 208 303
    • (1994) Linear Alg. App. , vol.208-209 , pp. 303
    • Paige, C.C.1    Wei, M.2
  • 34
    • 61849166655 scopus 로고    scopus 로고
    • Computing the complete CS decomposition
    • Sutton B D 2008 Computing the complete CS decomposition Numer. Algorithms 48 97-117
    • (2008) Numer. Algorithms , vol.48 , pp. 97-117
    • Sutton, B.D.1
  • 35
    • 2542483820 scopus 로고    scopus 로고
    • Optimal quantum circuits for general two-qubit gates
    • Vatan F and Williams C 2004 Optimal quantum circuits for general two-qubit gates Phys. Rev. A 69 032315
    • (2004) Phys. Rev. , vol.69 , Issue.3 , pp. 032315
    • Vatan, F.1    Williams, C.2
  • 38
    • 0000214832 scopus 로고
    • Sur une classe remarquable d'espaces de Riemann
    • Cartan E 1926 Sur une classe remarquable d'espaces de Riemann Bull. Soc. Math. France 54 214-64
    • (1926) Bull. Soc. Math. France , vol.54 , pp. 214-264
    • Cartan, E.1
  • 39
    • 0000972227 scopus 로고
    • Sur une classe remarquable d'espaces de Riemann: II.
    • Cartan E 1927 Sur une classe remarquable d'espaces de Riemann: II. Bull. Soc. Math. France 55 114-34
    • (1927) Bull. Soc. Math. France , vol.55 , pp. 114-134
    • Cartan, E.1
  • 40
  • 41
    • 0035280053 scopus 로고    scopus 로고
    • Time optimal control in spin systems
    • Khaneja N, Brockett R and Glaser S J 2001 Time optimal control in spin systems Phys. Rev. A 63 032308
    • (2001) Phys. Rev. , vol.63 , Issue.3 , pp. 032308
    • Khaneja, N.1    Brockett, R.2    Glaser, S.J.3
  • 42
    • 7044272657 scopus 로고    scopus 로고
    • Note on the khaneja glaser decomposition
    • Bullock S S 2004 Note on the khaneja glaser decomposition Quantum Inf. Comput. 4 396
    • (2004) Quantum Inf. Comput. , vol.4 , Issue.5 , pp. 396
    • Bullock, S.S.1
  • 43
    • 2942675041 scopus 로고    scopus 로고
    • Canonical decompositions of n-qubit quantum computations and concurrence
    • Bullock S S and Brennen G K 2004 Canonical decompositions of n-qubit quantum computations and concurrence J. Math. Phys. 45 2447-67
    • (2004) J. Math. Phys. , vol.45 , Issue.6 , pp. 2447-2467
    • Bullock, S.S.1    Brennen, G.K.2
  • 44
    • 42649126727 scopus 로고    scopus 로고
    • A general framework for recursive decompositions of unitary quantum evolutions
    • Dagli Mehmet, D'Alessandro Domenico and Smith J D H 2008 A general framework for recursive decompositions of unitary quantum evolutions J. Phys. A: Math. Theor. 41 155302
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 155302
    • Mehmet, D.1    Domenico, D.2    Smith, J.D.H.3
  • 52
    • 69649108768 scopus 로고    scopus 로고
    • Recognizing small-circuit structure in two-qubit operators
    • Shende V V, Bullock S S and Markov I L 2004 Recognizing small-circuit structure in two-qubit operators Phys. Rev. A 70 012310
    • (2004) Phys. Rev. , vol.70 , Issue.1 , pp. 012310
    • Shende, V.V.1    Bullock, S.S.2    Markov, I.L.3
  • 53
    • 0141801503 scopus 로고    scopus 로고
    • Nonlocal properties of two qubit gates and mixed states, and the optimization of quantum computations
    • Makhlin Y 2003 Nonlocal properties of two qubit gates and mixed states, and the optimization of quantum computations Quantum Inf. Proc. 1 243-52 http://arxiv.org/abs/quant-ph/0002045
    • (2003) Quantum Inf. Proc. , vol.1 , Issue.4 , pp. 243-252
    • Makhlin, Y.1
  • 54
    • 69649108768 scopus 로고    scopus 로고
    • Recognizing small-circuit structure in two qubit operators
    • Shende V V, Bullock S S and Markov I L 2004 Recognizing small-circuit structure in two qubit operators Phys. Rev. A 70 012310
    • (2004) Phys. Rev. , vol.70 , Issue.1 , pp. 012310
    • Shende, V.V.1    Bullock, S.S.2    Markov, I.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.