메뉴 건너뛰기




Volumn 54, Issue 2, 2007, Pages

The measurement calculus

Author keywords

Measurement based quantum computing; Models for quantum computing; Normalization; Quantum programming languages; Teleportation based quantum computing; Term rewriting

Indexed keywords

ALGEBRA; COMPUTATION THEORY; MATHEMATICAL MODELS; SEMANTICS; STANDARDIZATION; THEOREM PROVING;

EID: 34247194662     PISSN: 00045411     EISSN: 1557735X     Source Type: Journal    
DOI: 10.1145/1219092.1219096     Document Type: Article
Times cited : (154)

References (79)
  • 3
    • 42749106290 scopus 로고    scopus 로고
    • Computation by measurements: A unifying picture
    • quant-ph/0404082
    • ALIFERIS, P., AND LEUNG D. W. 2004. Computation by measurements: A unifying picture. Phys. Rev. A, 70 (quant-ph/0404082).
    • (2004) Phys. Rev. A , vol.70
    • ALIFERIS, P.1    LEUNG, D.W.2
  • 5
    • 34247185761 scopus 로고    scopus 로고
    • BARENDREGT, H. P. 1984. The Lambda Calculus, Its Syntax and Semantics. Studies in Logic. North-Holland, Amsterdam, The Netherlands.
    • BARENDREGT, H. P. 1984. The Lambda Calculus, Its Syntax and Semantics. Studies in Logic. North-Holland, Amsterdam, The Netherlands.
  • 7
    • 24944582878 scopus 로고    scopus 로고
    • Optical generation of matter qubit graph states
    • quant-ph/0506110
    • BENJAMIN, S. C., EISERT, J., AND STACE, T. M. 2005. Optical generation of matter qubit graph states. New J. Phys. 7 (quant-ph/0506110).
    • (2005) New J. Phys , vol.7
    • BENJAMIN, S.C.1    EISERT, J.2    STACE, T.M.3
  • 11
    • 33344456520 scopus 로고    scopus 로고
    • Universal quantum computation with ideal Clifford gates and noisy ancillas
    • quant-ph/0403025
    • BRAVYI, S., AND KITAEV, A. 2005. Universal quantum computation with ideal Clifford gates and noisy ancillas. Phys. Rev. A 71 (quant-ph/0403025).
    • (2005) Phys. Rev. A , vol.71
    • BRAVYI, S.1    KITAEV, A.2
  • 12
    • 34247218479 scopus 로고    scopus 로고
    • BROADBENT, A., AND KASHEFI, E. 2007. On parallelizing quantum circuits. Accepted to the International Workshop on Measurement-Based Quantum Computing (Oxford UK, March).
    • BROADBENT, A., AND KASHEFI, E. 2007. On parallelizing quantum circuits. Accepted to the International Workshop on Measurement-Based Quantum Computing (Oxford UK, March).
  • 13
    • 27144489628 scopus 로고    scopus 로고
    • Resource-efficient linear optical quantum computation
    • quant-ph/0405157
    • BROWNE, D. E., AND RUDOLPH, T. 2005 Resource-efficient linear optical quantum computation. Phys. Rev. Lett. 95 (quant-ph/0405157).
    • (2005) Phys. Rev. Lett , vol.95
    • BROWNE, D.E.1    RUDOLPH, T.2
  • 14
    • 33144463310 scopus 로고    scopus 로고
    • Efficient construction of two-dimensional cluster states with probabilistic quantum gates
    • quant-ph/0507066
    • CHEN, Q., CHENG, J., WANG, K. L., AND DU, J. 2006. Efficient construction of two-dimensional cluster states with probabilistic quantum gates. Phys. Rev. A 73 (quant-ph/0507066).
    • (2006) Phys. Rev. A , vol.73
    • CHEN, Q.1    CHENG, J.2    WANG, K.L.3    DU, J.4
  • 15
    • 0016522050 scopus 로고
    • Completely positive linear maps on complex matrices
    • CHOI, M. D. 1975. Completely positive linear maps on complex matrices. Lin. Algebra Appl. 10.
    • (1975) Lin. Algebra Appl , vol.10
    • CHOI, M.D.1
  • 16
    • 18444380214 scopus 로고    scopus 로고
    • Unified derivations of measurement-based schemes for quantum computation
    • quant-ph/0404132
    • CHILDS, A. M., LEUNG, D. W., AND NIELSEN, M. A. 2005. Unified derivations of measurement-based schemes for quantum computation. Phys. Rev. A 71 (quant-ph/0404132).
    • (2005) Phys. Rev. A , vol.71
    • CHILDS, A.M.1    LEUNG, D.W.2    NIELSEN, M.A.3
  • 17
    • 21244494841 scopus 로고    scopus 로고
    • Efficient generation of graph states for quantum computation
    • quant-ph/0406150
    • CLARK, S. R., MOURA ALVES, C., AND JAKSCH, D. 2005. Efficient generation of graph states for quantum computation. New J. Phys. 7 (quant-ph/0406150).
    • (2005) New J. Phys , vol.7
    • CLARK, S.R.1    MOURA ALVES, C.2    JAKSCH, D.3
  • 19
    • 34247249274 scopus 로고    scopus 로고
    • DANOS, V., D'HONDT, E., KASHEFI, E., AND PANANGADEN, P. 2005a. Distributed measurement-based quantum computation. In Proceedings of the 3rd International Workshop on Quantum Programming Languages. Electronic Notes in Theoretical Computer Science (quant-ph/0506070).
    • DANOS, V., D'HONDT, E., KASHEFI, E., AND PANANGADEN, P. 2005a. Distributed measurement-based quantum computation. In Proceedings of the 3rd International Workshop on Quantum Programming Languages. Electronic Notes in Theoretical Computer Science (quant-ph/0506070).
  • 20
    • 33750900028 scopus 로고    scopus 로고
    • Determinism in the one-way model
    • quant-ph/0506062
    • DANOS, V., AND KASHEFI, E. 2006. Determinism in the one-way model. Phys. Rev. A 74 (quant-ph/0506062).
    • (2006) Phys. Rev. A , vol.74
    • DANOS, V.1    KASHEFI, E.2
  • 21
    • 34247206436 scopus 로고    scopus 로고
    • Pauli measurements are universal
    • Proceedings of the 3rd International Workshop on Quantum Programming Languages
    • DANOS, V., AND KASHEFI, E. 2005. Pauli measurements are universal. In Proceedings of the 3rd International Workshop on Quantum Programming Languages. Electronic Notes in Theoretical Computer Science.
    • (2005) Electronic Notes in Theoretical Computer Science
    • DANOS, V.1    KASHEFI, E.2
  • 22
    • 28844506721 scopus 로고    scopus 로고
    • Parsimonious and robust realizations of unitary maps in the one-way model
    • quant-ph/0411071
    • DANOS, V., KASHEFI, E., AND PANANGADEN, P. 2005b. Parsimonious and robust realizations of unitary maps in the one-way model. Phys. Rev. A 72 (quant-ph/0411071).
    • (2005) Phys. Rev. A , vol.72
    • DANOS, V.1    KASHEFI, E.2    PANANGADEN, P.3
  • 23
    • 33646440581 scopus 로고    scopus 로고
    • Noise thresholds for optical cluster-state quantum computation
    • quant-ph/0601066
    • DAWSON, C. M., HASELGROVE, H. L., AND NIELSEN, M. A. 2006. Noise thresholds for optical cluster-state quantum computation. Phys. Rev. A 73 (quant-ph/0601066).
    • (2006) Phys. Rev. A , vol.73
    • DAWSON, C.M.1    HASELGROVE, H.L.2    NIELSEN, M.A.3
  • 25
    • 0022421379 scopus 로고
    • Quantum theory, the Church-Turing principle and the universal quantum computer
    • Royal Society of London, London, England
    • DEUTSCH, D. 1985. Quantum theory, the Church-Turing principle and the universal quantum computer. Proc. Roy. Soc. London, vol. A 400. Royal Society of London, London, England.
    • (1985) Proc. Roy. Soc. London , vol.A 400
    • DEUTSCH, D.1
  • 26
    • 34247260899 scopus 로고
    • Quantum computers
    • DEUTSCH, D. 1987. Quantum computers. Comput. Bull. 3, 2.
    • (1987) Comput. Bull , vol.3 , pp. 2
    • DEUTSCH, D.1
  • 27
    • 0002496370 scopus 로고
    • Quantum computational networks
    • DEUTSCH, D. 1989. Quantum computational networks. Proc. Roy. Soc. Lond A, 425.
    • (1989) Proc. Roy. Soc. Lond A , pp. 425
    • DEUTSCH, D.1
  • 28
    • 34247255340 scopus 로고    scopus 로고
    • DEUTSCH, D., AND JOZSA, R. 1992. Rapid solution of problems by quantum computation. Proc. Roy. Soc. Lond A 439.
    • DEUTSCH, D., AND JOZSA, R. 1992. Rapid solution of problems by quantum computation. Proc. Roy. Soc. Lond A 439.
  • 32
    • 0142089119 scopus 로고    scopus 로고
    • Multiparticle entanglement purification for graph state
    • quant-ph/0303087
    • DÜR, W., ASCHAUER, H., AND BRIEGEL, H. J. 2003. Multiparticle entanglement purification for graph state. Phys. Rev. Lett. 91 (quant-ph/0303087).
    • (2003) Phys. Rev. Lett , vol.91
    • DÜR, W.1    ASCHAUER, H.2    BRIEGEL, H.J.3
  • 34
    • 0343152990 scopus 로고
    • Quantum cryptography based on bell's theorem
    • EKERT, A. 1991. Quantum cryptography based on bell's theorem. Phys. Rev. Lett. 67.
    • (1991) Phys. Rev. Lett , vol.67
    • EKERT, A.1
  • 35
    • 33750698161 scopus 로고    scopus 로고
    • Quantum programming languages: Survey and bibliography
    • GAY, S. J. 2005. Quantum programming languages: Survey and bibliography. Bull. EATCS 86.
    • (2005) Bull. EATCS , vol.86
    • GAY, S.J.1
  • 37
    • 33745268196 scopus 로고    scopus 로고
    • Efficient construction of photonic quantum-computational clusters
    • quant-ph/0512110
    • GILBERT, G. HAMRICK, M., AND WEINSTEIN, Y. S. 2006. Efficient construction of photonic quantum-computational clusters. Phys. Rev. A 73 (quant-ph/0512110).
    • (2006) Phys. Rev. A , vol.73
    • GILBERT, G.1    HAMRICK, M.2    WEINSTEIN, Y.S.3
  • 39
    • 34247233939 scopus 로고    scopus 로고
    • GOTTESMAN, D. AND CHUANG, I. L. 1999. Quantum teleportation is a universal computational primitive. Nature 402 (quant-ph/9908010).
    • GOTTESMAN, D. AND CHUANG, I. L. 1999. Quantum teleportation is a universal computational primitive. Nature 402 (quant-ph/9908010).
  • 41
    • 33750591507 scopus 로고    scopus 로고
    • Steady state entanglement in open and noisy quantum systems at high temperature
    • quant-ph/0512219
    • HARTMANN, L., DÜR, W., AND BRIEGEL, H. J. 2006. Steady state entanglement in open and noisy quantum systems at high temperature. Phys. Rev. A. 74 (quant-ph/0512219).
    • (2006) Phys. Rev. A , vol.74
    • HARTMANN, L.1    DÜR, W.2    BRIEGEL, H.J.3
  • 42
    • 3142782717 scopus 로고    scopus 로고
    • Multi-party entanglement in graph states
    • quant-ph/0307130
    • HEIN, M., EISERT, J., AND BRIEGEL, H. J. 2004. Multi-party entanglement in graph states. Phys. Rev. A 69 (quant-ph/0307130).
    • (2004) Phys. Rev. A , vol.69
    • HEIN, M.1    EISERT, J.2    BRIEGEL, H.J.3
  • 44
    • 27744531007 scopus 로고    scopus 로고
    • JORRAND, P., AND PERDRIX, S. 2005. Unifying quantum computation with projective measurements only and one-way quantum computation. In Quantum Informatics 2004, 5833 of SPIE Proceedings, Yuri I. Ozhigov, Ed (quant-ph/0404125).
    • JORRAND, P., AND PERDRIX, S. 2005. Unifying quantum computation with projective measurements only and one-way quantum computation. In Quantum Informatics 2004, volume 5833 of SPIE Proceedings, Yuri I. Ozhigov, Ed (quant-ph/0404125).
  • 45
    • 33144481656 scopus 로고    scopus 로고
    • Graph-state preparation and quantum computation with global addressing of optical lattices
    • KAY, A., PACHOS, J. K., AND ADAMS, C. S. 2006. Graph-state preparation and quantum computation with global addressing of optical lattices. Phys. Rev. A 73.
    • (2006) Phys. Rev. A , vol.73
    • KAY, A.1    PACHOS, J.K.2    ADAMS, C.S.3
  • 46
    • 18444401530 scopus 로고    scopus 로고
    • Quantum computation by measurements
    • quant-ph/0310189
    • LEUNG, D. W. 2004. Quantum computation by measurements. Int. J. Quant. Info. 2, 1 (quant-ph/0310189).
    • (2004) Int. J. Quant. Info , vol.2 , pp. 1
    • LEUNG, D.W.1
  • 48
    • 34247229068 scopus 로고    scopus 로고
    • NIELSEN, M. A. 2003. Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state. Phys. Rev. A 308 (quant-ph/0108020).
    • NIELSEN, M. A. 2003. Universal quantum computation using only projective measurement, quantum memory, and preparation of the 0 state. Phys. Rev. A 308 (quant-ph/0108020).
  • 49
    • 4344578433 scopus 로고    scopus 로고
    • Optical quantum computation using cluster states
    • quant-ph/0402005
    • NIELSEN, M. A. 2004. Optical quantum computation using cluster states. Phys. Rev. Lett. 93 (quant-ph/0402005).
    • (2004) Phys. Rev. Lett , vol.93
    • NIELSEN, M.A.1
  • 52
    • 34247279128 scopus 로고    scopus 로고
    • State transfer instead of teleportation in measurement-based quantum computation
    • quant-ph/0402204
    • PERDRIX, S. 2003. State transfer instead of teleportation in measurement-based quantum computation. Int. J. Quant. Inf. 3, 1 (quant-ph/0402204).
    • (2003) Int. J. Quant. Inf , vol.3 , pp. 1
    • PERDRIX, S.1
  • 55
    • 0002770184 scopus 로고    scopus 로고
    • Fault-tolerant quantum computation
    • H. K. Lo, S. Popescu, and T. P. Spiller, Eds, World Scientific
    • PRESKILL, J. 1998. Fault-tolerant quantum computation. In Introduction to Quantum Computation and Information. H. K. Lo, S. Popescu, and T. P. Spiller, Eds, World Scientific.
    • (1998) Introduction to Quantum Computation and Information
    • PRESKILL, J.1
  • 58
    • 4043141630 scopus 로고    scopus 로고
    • Computational model underlying the one-way quantum computer
    • quant-ph/0108067
    • RAUSSENDORF, R., AND BRIEGEL, H. J. 2002. Computational model underlying the one-way quantum computer. Quant. Inf. Comput. 2 (quant-ph/0108067).
    • (2002) Quant. Inf. Comput , vol.2
    • RAUSSENDORF, R.1    BRIEGEL, H.J.2
  • 59
    • 0142025189 scopus 로고    scopus 로고
    • Measurement-based quantum computation on cluster states
    • RAUSSENDORF, R., BROWNE, D. E., AND BRIEGEL, H. J. 2003. Measurement-based quantum computation on cluster states. Phys. Rev. A 68.
    • (2003) Phys. Rev. A , vol.68
    • RAUSSENDORF, R.1    BROWNE, D.E.2    BRIEGEL, H.J.3
  • 60
    • 84976488196 scopus 로고    scopus 로고
    • Quantum programming
    • Mathematics of Program Construction, Springer-verlag. New York
    • SANDERS, J. W., AND ZULIANI, P. 2000. Quantum programming. In Mathematics of Program Construction, Lecture Notes in Computer Science, vol. 1837. Springer-verlag. New York.
    • (2000) Lecture Notes in Computer Science , vol.1837
    • SANDERS, J.W.1    ZULIANI, P.2
  • 61
    • 4043098363 scopus 로고    scopus 로고
    • Cluster states, algorithms and graphs
    • quant-ph/0305170
    • SCHLINGEMANN, D. 2004. Cluster states, algorithms and graphs. Quant. Int. Comput. 4, 4 (quant-ph/0305170).
    • (2004) Quant. Int. Comput , vol.4 , pp. 4
    • SCHLINGEMANN, D.1
  • 64
    • 68749116097 scopus 로고    scopus 로고
    • Towards a quantum programming language
    • SELINGER, P. 2004b. Towards a quantum programming language. Math. Struct. Comput. Sci. 14, 4.
    • (2004) Math. Struct. Comput. Sci , vol.14 , pp. 4
    • SELINGER, P.1
  • 66
    • 33747775497 scopus 로고    scopus 로고
    • Dagger compact closed categories and completely positive maps
    • Proceedings of the 3nd International Workshop on Quantum Programming Languages
    • SELINGER, P. 2005a. Dagger compact closed categories and completely positive maps. In Proceedings of the 3nd International Workshop on Quantum Programming Languages. Electronic Notes in Theoretical Computer Science.
    • (2005) Electronic Notes in Theoretical Computer Science
    • SELINGER, P.1
  • 67
    • 84923409082 scopus 로고    scopus 로고
    • Proceedings of the 3nd International Workshop on Quantum Programming Languages
    • SELINGER, P, Ed
    • SELINGER, P., Ed. 2005b. Proceedings of the 3nd International Workshop on Quantum Programming Languages. Electronic Notes in Theoretical Computer Science.
    • (2005) Electronic Notes in Theoretical Computer Science
  • 68
    • 24944508666 scopus 로고    scopus 로고
    • Alambda calculus for quantum computation with classical control
    • Proceedings of the 7th International Conference on Typed Lambda Calculi and Applications TLCA, Springer-verlag, New York
    • SELINGER, P., AND VALIRON, B. 2005. Alambda calculus for quantum computation with classical control. In Proceedings of the 7th International Conference on Typed Lambda Calculi and Applications (TLCA). Lecture Notes in Computer Science, vol. 3461. Springer-verlag, New York.
    • (2005) Lecture Notes in Computer Science , vol.3461
    • SELINGER, P.1    VALIRON, B.2
  • 69
    • 85115374351 scopus 로고
    • Algorithms for quantum computation: Discrete logarithms and factoring
    • IEEE Computer Society press, Los Alamitos, CA
    • SHOR, P. W. 1994. Algorithms for quantum computation: Discrete logarithms and factoring. In Proceedings of FOCS'94 - Symposium on Foundations of Computer Science. IEEE Computer Society press, Los Alamitos, CA.
    • (1994) Proceedings of FOCS'94 - Symposium on Foundations of Computer Science
    • SHOR, P.W.1
  • 70
    • 34247199389 scopus 로고    scopus 로고
    • SILVA, M., DANOS, V., KASHEFL, AND OLIVIER, H. 2006. A direct approach to fault-tolerance in measurement-based quantum computation via teleportation. New J. Phys., Submitted for publication. (Full text available from http://arxiv.org/abs/quant- ph/0611273.)
    • SILVA, M., DANOS, V., KASHEFL, AND OLIVIER, H. 2006. A direct approach to fault-tolerance in measurement-based quantum computation via teleportation. New J. Phys., Submitted for publication. (Full text available from http://arxiv.org/abs/quant- ph/0611273.)
  • 71
    • 34247208533 scopus 로고    scopus 로고
    • Toward a more economical cluster state quantum computation
    • quant-ph/0412156
    • TAME, M. S., PATERNOSTRO, M., KIM, M. S., AND VEDRAL, V. 2006a. Toward a more economical cluster state quantum computation. Int. J. Quant. Int. 4, 4 (quant-ph/0412156).
    • (2006) Int. J. Quant. Int , vol.4 , pp. 4
    • TAME, M.S.1    PATERNOSTRO, M.2    KIM, M.S.3    VEDRAL, V.4
  • 72
    • 33144486844 scopus 로고    scopus 로고
    • Natural three-qubit interactions in one-way quantum computing
    • quant-ph/0507173
    • TAME, M. S., PATERNOSTRO, M., KIM, M. S., AND VEDRAL, V. 2006b. Natural three-qubit interactions in one-way quantum computing. Phys. Rev. A 73 (quant-ph/0507173).
    • (2006) Phys. Rev. A , vol.73
    • TAME, M.S.1    PATERNOSTRO, M.2    KIM, M.S.3    VEDRAL, V.4
  • 73
    • 34247187324 scopus 로고    scopus 로고
    • Quantum programs with classical output streams
    • Proceedings of the 3rd International Workshop on Quantum Programming Languages
    • UNRUH, D. 2005. Quantum programs with classical output streams. In Proceedings of the 3rd International Workshop on Quantum Programming Languages. Electronic Notes in Theoretical Computer Science.
    • (2005) Electronic Notes in Theoretical Computer Science
    • UNRUH, D.1
  • 74
    • 33750042018 scopus 로고    scopus 로고
    • Master's dissertation, Computer Science Nijmegen
    • VAN DAM, W. 1996. Quantum cellular automata. Master's dissertation, Computer Science Nijmegen.
    • (1996) Quantum cellular automata
    • VAN DAM, W.1
  • 75
    • 19644400642 scopus 로고    scopus 로고
    • An efficient algorithm to recognize local Clifford equivalence of graph states
    • quant-ph/0405023
    • VAN DEN NEST, M., DEHAENE, J., AND DE MOOR, B. 2004a. An efficient algorithm to recognize local Clifford equivalence of graph states. Phys. Rev. A 70 (quant-ph/0405023).
    • (2004) Phys. Rev. A , vol.70
    • VAN DEN NEST, M.1    DEHAENE, J.2    DE MOOR, B.3
  • 76
    • 1942443839 scopus 로고    scopus 로고
    • Graphical description of the action of local Clifford transformations on graph states
    • quant-ph/0308151
    • VAN DEN NEST, M., DEHAENE, J., AND DE MOOR, B. 2004b. Graphical description of the action of local Clifford transformations on graph states. Phys. Rev. A 69 (quant-ph/0308151).
    • (2004) Phys. Rev. A , vol.69
    • VAN DEN NEST, M.1    DEHAENE, J.2    DE MOOR, B.3
  • 77
    • 8344245281 scopus 로고    scopus 로고
    • A lambda calculus for quantum computation
    • quant-ph/0307150
    • VAN TONDER, A. 2004. A lambda calculus for quantum computation. SIAM J. Comput. 33, 5 (quant-ph/0307150).
    • (2004) SIAM J. Comput , vol.33 , pp. 5
    • VAN TONDER, A.1
  • 78
    • 0029541042 scopus 로고
    • On one-dimensional quantum cellular automata
    • Proceedings of FOCS'95, Symposium on Foundations of Computer Science
    • WATROUS, J. 1995. On one-dimensional quantum cellular automata. In Proceedings of FOCS'95 - Symposium on Foundations of Computer Science. LNCS.
    • (1995) LNCS
    • WATROUS, J.1
  • 79
    • 15244342458 scopus 로고    scopus 로고
    • WALTHER, P., RESCH, K. J., RUDOLPH, T., SCHENCK, E., WEINFURTER, H., VEDRAL, V., ASPELMEYER, M., AND ZEILINGER, A. 2005. Experimental one-way quantum computing. Nature 434 (quant-ph/0503126).
    • WALTHER, P., RESCH, K. J., RUDOLPH, T., SCHENCK, E., WEINFURTER, H., VEDRAL, V., ASPELMEYER, M., AND ZEILINGER, A. 2005. Experimental one-way quantum computing. Nature 434 (quant-ph/0503126).


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.