메뉴 건너뛰기




Volumn 386, Issue 1-2, 2007, Pages 38-56

Automata theory based on quantum logic: Reversibilities and pushdown automata

Author keywords

Finite automata; Orthomodular lattices; Pushdown automata; Quantum computation; Quantum finite automata; Quantum logic

Indexed keywords

COMPUTER PROGRAMMING LANGUAGES; FORMAL LOGIC; MATHEMATICAL OPERATORS; QUANTUM COMPUTERS;

EID: 34648831683     PISSN: 03043975     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.tcs.2007.05.026     Document Type: Article
Times cited : (49)

References (46)
  • 1
    • 84976832596 scopus 로고
    • Inference of reversible languages
    • Angluin D. Inference of reversible languages. J. ACM 29 (1982) 741-765
    • (1982) J. ACM , vol.29 , pp. 741-765
    • Angluin, D.1
  • 2
    • 0032320434 scopus 로고    scopus 로고
    • A. Ambainis, R. Freivalds, One-way quantum finite automata: Strengths, weaknesses and generalizations, in: Proc. 39th Annu. Symp. Foundations of Computer Science, Palo Alfo, California, 1998, pp. 332-341. Also quant-ph/9802062, 1998
  • 3
    • 0032631760 scopus 로고    scopus 로고
    • A. Ambainis, A. Nayak, A. Ta-Shma, U. Vazirani, Dense quantum coding and a lower bound for 1-way quantum automata, in: Proc. 31st Annu. ACM Symp. Theory of Computing, Atlanta, Georgia, 1999, pp. 376-383. Also quant-ph/9804043, 1998
  • 4
    • 0037174192 scopus 로고    scopus 로고
    • Two-way finite automata with quantum and classical states
    • Ambainis A., and Watrous J. Two-way finite automata with quantum and classical states. Theoret. Comput. Sci. 287 (2002) 299-311
    • (2002) Theoret. Comput. Sci. , vol.287 , pp. 299-311
    • Ambainis, A.1    Watrous, J.2
  • 7
    • 34250256884 scopus 로고
    • The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines
    • Benioff P. The computer as a physical system: A microscopic quantum mechanical Hamiltonian model of computers as represented by Turing machines. J. Stat. Phys. 22 (1980) 563-591
    • (1980) J. Stat. Phys. , vol.22 , pp. 563-591
    • Benioff, P.1
  • 8
    • 0015680909 scopus 로고
    • Logical reversibility of computation
    • Bennett C. Logical reversibility of computation. IBM J. Res. Dev. 17 (1973) 525-532
    • (1973) IBM J. Res. Dev. , vol.17 , pp. 525-532
    • Bennett, C.1
  • 9
    • 0034923795 scopus 로고    scopus 로고
    • Analogies and differences between quantum and stochastic automata
    • Bertoni A., and Carpentieri M. Analogies and differences between quantum and stochastic automata. Theoret. Comput. Sci. 262 (2001) 69-81
    • (2001) Theoret. Comput. Sci. , vol.262 , pp. 69-81
    • Bertoni, A.1    Carpentieri, M.2
  • 10
    • 26444469413 scopus 로고    scopus 로고
    • Dynamic quantum logic for quantum programs
    • Also quant-ph/0311143
    • Brunet O., and Jorrand P. Dynamic quantum logic for quantum programs. Internat. J. Quantum Inf. 2 1 (2003) 45-54. Also quant-ph/0311143
    • (2003) Internat. J. Quantum Inf. , vol.2 , Issue.1 , pp. 45-54
    • Brunet, O.1    Jorrand, P.2
  • 11
    • 0014765838 scopus 로고
    • Connectivity and reversibility in automata
    • Bavel Z., and Muller D.E. Connectivity and reversibility in automata. J. ACM 17 (1970) 231-240
    • (1970) J. ACM , vol.17 , pp. 231-240
    • Bavel, Z.1    Muller, D.E.2
  • 12
    • 0000194417 scopus 로고
    • The logic of quantum mechanics
    • Birkhoff G., and von Neumann J. The logic of quantum mechanics. Ann. of Math. 37 (1936) 823-843
    • (1936) Ann. of Math. , vol.37 , pp. 823-843
    • Birkhoff, G.1    von Neumann, J.2
  • 13
    • 0036588754 scopus 로고    scopus 로고
    • Characterizations of 1-way quantum finite automata
    • Also quant-ph/9903014
    • Brodsky A., and Pippenger N. Characterizations of 1-way quantum finite automata. SIAM J. Comput. 31 (2002-1999) 1456-1478. Also quant-ph/9903014
    • (1999) SIAM J. Comput. , vol.31 , pp. 1456-1478
    • Brodsky, A.1    Pippenger, N.2
  • 14
  • 16
    • 1642419595 scopus 로고    scopus 로고
    • Grammar theory based on quantum logic
    • Cheng W., and Wang J. Grammar theory based on quantum logic. Internat. J. Theoret. Phys. 42 (2003) 1677-1691
    • (2003) Internat. J. Theoret. Phys. , vol.42 , pp. 1677-1691
    • Cheng, W.1    Wang, J.2
  • 17
    • 0022421379 scopus 로고
    • Quantum theory, the Church-Turing principle and the universal quantum computer
    • Deutsch D. Quantum theory, the Church-Turing principle and the universal quantum computer. Proc. R. Soc. Lond. A 400 (1985) 97-117
    • (1985) Proc. R. Soc. Lond. A , vol.400 , pp. 97-117
    • Deutsch, D.1
  • 19
    • 34648871903 scopus 로고    scopus 로고
    • C.A. Ellis, Probabilistic languages and automata, Ph.D. Dissertation, University of Illinois, Urbana, IL, 1969
  • 20
    • 51249180339 scopus 로고
    • Simulating physics with computers
    • Feynman R.P. Simulating physics with computers. Internat. J. Theoret. Phys. 21 (1982) 467-488
    • (1982) Internat. J. Theoret. Phys. , vol.21 , pp. 467-488
    • Feynman, R.P.1
  • 21
    • 84956976494 scopus 로고    scopus 로고
    • Quantum pushdown automata
    • Proc. 27th Conf. on Current Trends in Theory and Practice of Informatics. Milovy, Springer-Verlag, Berlin
    • Golovkins M. Quantum pushdown automata. Proc. 27th Conf. on Current Trends in Theory and Practice of Informatics. Milovy. Lecture Notes in Computer Science vol. 1963 (2000), Springer-Verlag, Berlin 336-346
    • (2000) Lecture Notes in Computer Science , vol.1963 , pp. 336-346
    • Golovkins, M.1
  • 22
    • 0029701737 scopus 로고    scopus 로고
    • L. Grover, A fast quantum mechanical algorithms for datdbase search, in: Proc. 28th Annual ACM Symp. Theory of Computing, Philadelphia, PA, 1996, pp. 212-219
  • 26
    • 34648867238 scopus 로고    scopus 로고
    • Applications of finite automata
    • MFSC'02, Springer, Berlin
    • Karhumäki J. Applications of finite automata. MFSC'02. Lecture Notes in Computer Science vol. 2420 (2002), Springer, Berlin 40-58
    • (2002) Lecture Notes in Computer Science , vol.2420 , pp. 40-58
    • Karhumäki, J.1
  • 27
    • 0031351354 scopus 로고    scopus 로고
    • A. Kondacs, J. Watrous, On the power of finite state automata, in: Proc. 38th IEEE Annu. Symp. Foundations of Computer Science, 1997, pp. 66-75
  • 29
    • 0000134862 scopus 로고    scopus 로고
    • Quantum automata and quantum grammars
    • Also quant-ph/9707031
    • Moore C., and Crutchfield J.P. Quantum automata and quantum grammars. Theoret. Comput. Sci. 237 (2000-1997) 275-306. Also quant-ph/9707031
    • (1997) Theoret. Comput. Sci. , vol.237 , pp. 275-306
    • Moore, C.1    Crutchfield, J.P.2
  • 31
    • 23944505968 scopus 로고    scopus 로고
    • An application of quantum finite automata to interactive proof system
    • Proc. 9th Internat. Conf. Implementation and Application of Automata, Springer, Berlin Also quant-ph/0410040, 2004
    • Nishimura H., and Yamakami T. An application of quantum finite automata to interactive proof system. Proc. 9th Internat. Conf. Implementation and Application of Automata. Lecture Notes in Computer Science vol. 3317 (2004), Springer, Berlin 225-236 Also quant-ph/0410040, 2004
    • (2004) Lecture Notes in Computer Science , vol.3317 , pp. 225-236
    • Nishimura, H.1    Yamakami, T.2
  • 32
    • 85024910467 scopus 로고
    • On reversible automata
    • Proc. Latin American Symp. Theoretical Informatics, Springer, Berlin
    • Pin J. On reversible automata. Proc. Latin American Symp. Theoretical Informatics. Lecture Notes in Computer Science vol. 583 (1992), Springer, Berlin 401-415
    • (1992) Lecture Notes in Computer Science , vol.583 , pp. 401-415
    • Pin, J.1
  • 34
    • 24144500086 scopus 로고    scopus 로고
    • Automata and grammars theory based on quantum logic
    • Qiu D.W. Automata and grammars theory based on quantum logic. J. Softw. 14 (2003) 23-27
    • (2003) J. Softw. , vol.14 , pp. 23-27
    • Qiu, D.W.1
  • 35
    • 0036092767 scopus 로고    scopus 로고
    • Characterization of sequential quantum machines
    • Qiu D.W. Characterization of sequential quantum machines. Internat. J. Theoret. Phys. 41 (2002) 811-822
    • (2002) Internat. J. Theoret. Phys. , vol.41 , pp. 811-822
    • Qiu, D.W.1
  • 36
    • 2342462362 scopus 로고    scopus 로고
    • Automata theory based on quantum logic: Some characterizations
    • Qiu D.W. Automata theory based on quantum logic: Some characterizations. Inform. and Comput. 190 (2004) 179-195
    • (2004) Inform. and Comput. , vol.190 , pp. 179-195
    • Qiu, D.W.1
  • 37
    • 0347600621 scopus 로고    scopus 로고
    • Characterization of quantum automata
    • Qiu D.W., and Ying M.S. Characterization of quantum automata. Theoret. Comput. Sci. 312 (2004) 479-489
    • (2004) Theoret. Comput. Sci. , vol.312 , pp. 479-489
    • Qiu, D.W.1    Ying, M.S.2
  • 38
    • 50549176920 scopus 로고
    • Probabilistic automata
    • Rabin M.O. Probabilistic automata. Inf. Control 6 (1963) 230-244
    • (1963) Inf. Control , vol.6 , pp. 230-244
    • Rabin, M.O.1
  • 39
    • 0000595671 scopus 로고
    • Quantum logic revisited
    • Román L., and Rumbos B. Quantum logic revisited. Found. Phys. 21 (1991) 727-734
    • (1991) Found. Phys. , vol.21 , pp. 727-734
    • Román, L.1    Rumbos, B.2
  • 40
    • 0014628272 scopus 로고
    • Probabilistic and weighted grammars
    • Salomaa A. Probabilistic and weighted grammars. Inf. Control 15 (1969) 529-544
    • (1969) Inf. Control , vol.15 , pp. 529-544
    • Salomaa, A.1
  • 41
    • 0015385156 scopus 로고
    • Probabilistic grammars and automata
    • Santos E.S. Probabilistic grammars and automata. Inf. Control 21 (1972) 27-47
    • (1972) Inf. Control , vol.21 , pp. 27-47
    • Santos, E.S.1
  • 43
    • 34648862651 scopus 로고    scopus 로고
    • P.W. Shor, Algorithm for quantum computation: Discrete logarithms and factoring, in: Proc. 37th IEEE Annu. Symp. on Foundations of Computer Science, 1994, pp. 124-134
  • 44
    • 0027873262 scopus 로고    scopus 로고
    • A.C. Yao, Quantum circuit complexity, in: Proc. 34th IEEE Symp. Foundations of Computer Science, 1993, pp. 352-361
  • 45
    • 0034349194 scopus 로고    scopus 로고
    • Automata theory based on quantum logic. (I)
    • Ying M.S. Automata theory based on quantum logic. (I). Internat. J. Theoret. Phys. 39 (2000) 981-991
    • (2000) Internat. J. Theoret. Phys. , vol.39 , pp. 981-991
    • Ying, M.S.1
  • 46
    • 0034309902 scopus 로고    scopus 로고
    • Automata theory based on quantum logic. (II)
    • Ying M.S. Automata theory based on quantum logic. (II). Internat. J. Theoret. Phys. 39 (2000) 2545-2557
    • (2000) Internat. J. Theoret. Phys. , vol.39 , pp. 2545-2557
    • Ying, M.S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.