메뉴 건너뛰기




Volumn 370, Issue 1971, 2012, Pages 3385-3417

The operator tensor formulation of quantum theory

Author keywords

Operator tensors; Quantum circuits; Quantum reformulation

Indexed keywords

EXPERIMENTS; QUANTUM COMPUTERS; QUANTUM ELECTRONICS; QUANTUM OPTICS; WIRE;

EID: 84862892388     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2011.0326     Document Type: Article
Times cited : (100)

References (50)
  • 3
    • 69549110138 scopus 로고    scopus 로고
    • Theoretical framework for quantum networks
    • doi:10.1103/PhysRevA.80.022339
    • Chiribella, G., D'Ariano, G. M. & Perinotti, P. 2009 Theoretical framework for quantum networks. Phys. Rev. A 80, 022339. (doi:10.1103/PhysRevA. 80.022339)
    • (2009) Phys. Rev. A , vol.80 , pp. 022339
    • Chiribella, G.1    D'Ariano, G.M.2    Perinotti, P.3
  • 4
    • 36149015366 scopus 로고
    • Time symmetry in the quantum process of measurement
    • doi:10.1103/PhysRev. 134. B1410
    • Aharonov, Y., Bergmann, P. G. & Lebowitz, J. L. 1964 Time symmetry in the quantum process of measurement. Phys. Rev. 134, B1410-B1416. (doi:10.1103/PhysRev. 134. B1410)
    • (1964) Phys. Rev. , vol.134
    • Aharonov, Y.1    Bergmann, P.G.2    Lebowitz, J.L.3
  • 5
    • 65649132382 scopus 로고    scopus 로고
    • Multiple-time states and multipletime measurements in quantum mechanics
    • doi:10.1103/PhysRevA. 79.052110
    • Aharonov, Y., Popescu, S., Tollaksen, J. & Vaidman, L. 2009 Multiple-time states and multipletime measurements in quantum mechanics. Phys. Rev. A 79, 052110. (doi:10.1103/PhysRevA. 79.052110)
    • (2009) Phys. Rev. A , vol.79 , pp. 052110
    • Aharonov, Y.1    Popescu, S.2    Tollaksen, J.3    Vaidman, L.4
  • 6
    • 2342429398 scopus 로고    scopus 로고
    • A 'general boundary' formulation for quantum mechanics and quantum gravity
    • doi:10.1016/j.physletb.2003.08.043
    • Oeckl, R. 2003 A 'general boundary' formulation for quantum mechanics and quantum gravity. Phys. Lett. B 575, 318-324. (doi:10.1016/j.physletb.2003.08. 043)
    • (2003) Phys. Lett. B , vol.575 , pp. 318-324
    • Oeckl, R.1
  • 8
    • 69549099176 scopus 로고    scopus 로고
    • Towards quantum gravity: A framework for probabilistic theories with non-fixed causal structure
    • doi:10.1088/1751-8113/40/12/S12
    • Hardy, L. 2007 Towards quantum gravity: a framework for probabilistic theories with non-fixed causal structure. J. Phys. A 40, 3081. (doi:10.1088/1751-8113/40/12/S12)
    • (2007) J. Phys. A , vol.40 , pp. 3081
    • Hardy, L.1
  • 9
    • 84906567492 scopus 로고    scopus 로고
    • Quantum gravity computers: On the theory of computation with indefinite causal structure
    • eds W. C. Myrvold & J. Christian, Berlin, Germany: Springer
    • Hardy, L. 2009 Quantum gravity computers: on the theory of computation with indefinite causal structure. In Quantum reality, relativistic causality, and closing the epistemic circle: essays in honour of Abner Shimony (eds W. C. Myrvold & J. Christian), pp. 379-402. Berlin, Germany: Springer.
    • (2009) Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle: Essays in Honour of Abner Shimony , pp. 379-402
    • Hardy, L.1
  • 10
    • 84862855293 scopus 로고    scopus 로고
    • Formalism locality in quantum theory and quantum gravity
    • eds A. Bokulich & G. Jaeger, Cambridge, UK: Cambridge University Press
    • Hardy, L. 2010 Formalism locality in quantum theory and quantum gravity. In Philosophy of quantum information and entanglement (eds A. Bokulich & G. Jaeger), pp. 44-61. Cambridge, UK: Cambridge University Press.
    • (2010) Philosophy of Quantum Information and Entanglement , pp. 44-61
    • Hardy, L.1
  • 11
    • 35448951300 scopus 로고    scopus 로고
    • Towards a general theory of quantum games
    • New York, NY: American Mathematical Society
    • Gutoski, G. & Watrous, J. 2007 Towards a general theory of quantum games. In Proc. 39th Annu. ACM Symp. on Theory of Computation, vol. 565. New York, NY: American Mathematical Society. (http://arxiv.org/abs/quant-ph/0611234)
    • (2007) Proc. 39th Annu. ACM Symp. on Theory of Computation , vol.565
    • Gutoski, G.1    Watrous, J.2
  • 14
    • 0034340945 scopus 로고    scopus 로고
    • Quantum causal histories
    • doi:10.1088/0264-9381/17/10/302
    • Markopoulou, F. 2000 Quantum causal histories. Classical Quant. Gravity 17, 2059. (doi:10.1088/0264-9381/17/10/302)
    • (2000) Classical Quant. Gravity , vol.17 , pp. 2059
    • Markopoulou, F.1
  • 16
    • 4544315795 scopus 로고    scopus 로고
    • A categorical semantics of quantum protocols
    • Washington, DC: IEEE Computer Society Press
    • Abramsky, S. & Coecke, B. 2004 A categorical semantics of quantum protocols. In Proc. 19th Annu. IEEE Symp. on Logic in Computer Science, pp. 415-425. Washington, DC: IEEE Computer Society Press.
    • (2004) Proc. 19th Annu. IEEE Symp. on Logic in Computer Science , pp. 415-425
    • Abramsky, S.1    Coecke, B.2
  • 17
    • 77449106940 scopus 로고    scopus 로고
    • Quantum picturalism
    • doi:10.1080/00107510903257624
    • Coecke, B. 2010 Quantum picturalism. Contemp. Phys. 51, 59-83. (doi:10.1080/00107510903257624)
    • (2010) Contemp. Phys. , vol.51 , pp. 59-83
    • Coecke, B.1
  • 18
    • 77954196305 scopus 로고    scopus 로고
    • Probabilistic theories with purification
    • doi:10.1103/PhysRevA.81.062348
    • Chiribella, G., D'Ariano, G. M. & Perinotti, P. 2010 Probabilistic theories with purification. Phys. Rev. A 81, 062348. (doi:10.1103/PhysRevA.81. 062348)
    • (2010) Phys. Rev. A , vol.81 , pp. 062348
    • Chiribella, G.1    D'Ariano, G.M.2    Perinotti, P.3
  • 20
    • 0002099583 scopus 로고
    • Applications of negative dimensional tensors
    • ed. D. J. A. Welsh, Waltham, MA: Academic Press
    • Penrose, R. 1971 Applications of negative dimensional tensors. In Combinatorial mathematics and its applications (ed. D. J. A. Welsh), pp. 221-244. Waltham, MA: Academic Press.
    • (1971) Combinatorial Mathematics and its Applications , pp. 221-244
    • Penrose, R.1
  • 26
    • 0002966396 scopus 로고
    • Spacetime and causal sets
    • eds J. C. Olivo, E. Nahmad-Achar, M. Rosenbaum, M. P. Ryan, L. F. Urrutia & F. Zertuche, Singapore: World Scientific
    • Sorkin, R. D. 1991 Spacetime and causal sets. In Relativity and gravitation: classical and quantum (eds J. C. Olivo, E. Nahmad-Achar, M. Rosenbaum, M. P. Ryan, L. F. Urrutia & F. Zertuche), pp. 150-173. Singapore: World Scientific.
    • (1991) Relativity and Gravitation: Classical and Quantum , pp. 150-173
    • Sorkin, R.D.1
  • 27
    • 84868273383 scopus 로고    scopus 로고
    • PhD thesis, Imperial College London, UK
    • Johnston, S. 2010 Quantum fields on causal sets. PhD thesis, Imperial College London, UK. (http://arxiv.org/abs/1010.5514)
    • (2010) Quantum Fields on Causal Sets
    • Johnston, S.1
  • 29
    • 34250495765 scopus 로고
    • An operational approach to quantum probability
    • doi:10.1007/BF01647093
    • Davies, E. B. & Lewis, J. T. 1970 An operational approach to quantum probability. Commun. Math. Phys. 17, 239-260. (doi:10.1007/BF01647093)
    • (1970) Commun. Math. Phys. , vol.17 , pp. 239-260
    • Davies, E.B.1    Lewis, J.T.2
  • 30
    • 3543045289 scopus 로고
    • On the algebraic structure of quantum mechanics
    • doi:10.1007/BF01646019
    • Gunson, J. 1967 On the algebraic structure of quantum mechanics. Commun. Math. Phys. 6, 262-285. (doi:10.1007/BF01646019)
    • (1967) Commun. Math. Phys. , vol.6 , pp. 262-285
    • Gunson, J.1
  • 31
    • 0002971055 scopus 로고
    • Theory of filters
    • doi:10.1007/BF01645423
    • Mielnik, B. 1969 Theory of filters. Commun. Math. Phys. 15, 1-46. (doi:10.1007/BF01645423)
    • (1969) Commun. Math. Phys. , vol.15 , pp. 1-46
    • Mielnik, B.1
  • 32
    • 0001858336 scopus 로고
    • On a characterization of the state space of quantum mechanics
    • doi:10.1007/BF01962588
    • Araki, H. 1980 On a characterization of the state space of quantum mechanics. Commun. Math. Phys. 75, 1-24. (doi:10.1007/BF01962588)
    • (1980) Commun. Math. Phys. , vol.75 , pp. 1-24
    • Araki, H.1
  • 33
    • 0033474345 scopus 로고    scopus 로고
    • Convex and linear effect algebras
    • doi:10.1016/S0034-4877 00 87245-6
    • Gudder, S., Pulmannová, S., Bugajski, S. & Beltrametti, E. 1999 Convex and linear effect algebras. Rep. Math. Phys. 44, 359-379. (doi:10.1016/S0034-4877 (00) 87245-6)
    • (1999) Rep. Math. Phys. , vol.44 , pp. 359-379
    • Gudder, S.1    Pulmannová, S.2    Bugajski, S.3    Beltrametti, E.4
  • 34
    • 0002371788 scopus 로고
    • Empirical logic and tensor products
    • Mannheim, Germany: Bibliographisches Institut
    • Foulis, D. J. & Randall, C. H. 1979 Empirical logic and tensor products. In Interpretations and foundations of quantum theory, vol. 5, pp. 9-20. Mannheim, Germany: Bibliographisches Institut.
    • (1979) Interpretations and Foundations of Quantum Theory , vol.5 , pp. 9-20
    • Foulis, D.J.1    Randall, C.H.2
  • 35
    • 0009128415 scopus 로고
    • How interference effects in mixtures determine the rules of quantum mechanics
    • doi:10.1103/PhysRevA.50.2108
    • Fivel, D. I. 1994 How interference effects in mixtures determine the rules of quantum mechanics. Phys. Rev. A 50, 2108-2119. (doi:10.1103/PhysRevA. 50.2108)
    • (1994) Phys. Rev. A , vol.50 , pp. 2108-2119
    • Fivel, D.I.1
  • 37
    • 33847706141 scopus 로고    scopus 로고
    • Information processing in generalized probabilistic theories
    • DOI 10.1103/PhysRevA.75.032304
    • Barrett, J. 2007 Information processing in generalized probabilistic theories. Phys. Rev. A 75, 032304. (doi:10.1103/PhysRevA.75.032304) (Pubitemid 46375513)
    • (2007) Physical Review A - Atomic, Molecular, and Optical Physics , vol.75 , Issue.3 , pp. 032304
    • Barrett, J.1
  • 38
    • 79551669693 scopus 로고    scopus 로고
    • Information processing in convex operational theories
    • doi:10.1016/j.entcs.2011.01.002
    • Barnum, H. & Wilce, A. 2011 Information processing in convex operational theories. Electron. Notes Theor. Comput. Sci. 270, 3-15. (doi:10.1016/j.entcs.2011.01.002)
    • (2011) Electron. Notes Theor. Comput. Sci. , vol.270 , pp. 3-15
    • Barnum, H.1    Wilce, A.2
  • 42
    • 0039774051 scopus 로고
    • On the actual measurability of the density matrix of a decaying system by means of measurements on the decay products
    • doi:10.1007/BF00708418
    • Bergia, S., Cannata, F., Cornia, A. & Livi, R. 1980 On the actual measurability of the density matrix of a decaying system by means of measurements on the decay products. Found. Phys. 10, 723-730. (doi:10.1007/BF00708418)
    • (1980) Found. Phys. , vol.10 , pp. 723-730
    • Bergia, S.1    Cannata, F.2    Cornia, A.3    Livi, R.4
  • 43
    • 0001538342 scopus 로고
    • Quantum mechanics without probability amplitudes
    • doi:10.1007/BF01882696
    • Wootters, W. K. 1986 Quantum mechanics without probability amplitudes. Found. Phys. 16, 391-405. (doi:10.1007/BF01882696)
    • (1986) Found. Phys. , vol.16 , pp. 391-405
    • Wootters, W.K.1
  • 49
    • 0004150286 scopus 로고
    • Dordrecht, The Netherlands: Kluwer Academic Publishers
    • Peres, A. 1993 Quantum theory: concepts and methods, vol. 57. Dordrecht, The Netherlands: Kluwer Academic Publishers.
    • (1993) Quantum Theory: Concepts and Methods , vol.57
    • Peres, A.1
  • 50
    • 0037574296 scopus 로고    scopus 로고
    • Separability criterion for density matrices
    • Peres, A. 1996 Separability criterion for density matrices. Phys. Rev. Lett. 77, 1413-1415. (doi:10.1103/PhysRevLett.77.1413) (Pubitemid 126625698)
    • (1996) Physical Review Letters , vol.77 , Issue.8 , pp. 1413-1415
    • Peres, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.