1 |
Gruska J QuantumComputingLondonMcGraw-Hill 1999
|
2 |
Nielsen M A Chuang I L Quantum Computation and QuantumInformationCambridgeCambridge University Press 2000
|
3 |
Bennett C Logicalreversibility of computationIBM Journalof Research and Development 1973 17525532
|
4 |
Benioff P Thecomputer as a physical system: a microscopic quantum mechanical Hamiltonianmodel of computers as represented by Turing machinesJournal of Statistical Physics 1980 22563591. doi:10.1007/BF01011339
|
5 |
Feynman R P Simulatingphysics with computersInternational Journalof Theoretical Physics 1982 21467488. doi:10.1007/BF02650179
|
6 |
Deutsch D Quantumtheory, the Church-Turing principle and the universal quantum computerProceedings of the Royal Society of London A 1985 40097117
|
7 |
Yao A C Quantumcircuit complexityIn: Proceedings of the34th IEEE Symposium on Foundations of Computer scienceIEEE Computer Society Press 1993 352361
|
8 |
Shor P W Algorithmfor quantum computation: Discrete logarithms and factoringIn: Proceedings of the37th IEEE Annuual Symposiumon Foundations of Computer scienceIEEE Computer Society Press 1994 124134
|
9 |
Grover L A fastquantum mechanical algorithms for datdbase searchIn: Proceedings of the 28th Annual ACM Symposium on the Theory of ComputingNew YorkACM 1996 212219
|
10 |
Hopcroft J E Ullman J D Introduction to Automata Theory,Languages, and ComputationNew YorkAddision-Wesley 1979
|
11 |
Moore C Crutchfield J P Quantum automata and quantumgrammarsTheoretical Computer Science 2000 237275306Also see arXiv: quant-ph/9707031,1997. doi: 10.1016/S0304‐3975(98)00191‐1
|
12 |
Kondacs A Watrous J On the power of finite stateautomataIn: Proceedings of the 38th IEEEAnnual Symposium on Foundations of Computer ScienceIEEE Computer Society Press 1997 6675
|
13 |
Ambainis A Freivalds R One-way quantum finite automata:strengths, weaknesses and generalizationsIn: Proceedings of the 39th Annual Symposium on Foundations of ComputerSciencePalo Alfo, CaliforniaIEEE Computer Society Press 1998 332341also see arXiv:quant-ph/9802062, 1998
|
14 |
Nayak A Optimallower bounds for quantum automata and random access codesIn: Proceedings of the 40th Annual Symposium on Foundationsof Computer ScienceIEEE Computer Society 1999 124133
|
15 |
Ambainis A Nayak A Ta-Shma A et al.Dense quantum coding and quantum automataJournal of the ACM 2002 49(4)496511. doi:10.1145/581771.581773
|
16 |
Ambainis A Beaudry M Golovkins M et al.Algebraic results on quantum automataTheory of Computing Systems 2006 391654188. doi:10.1007/s00224‐005‐1263‐x
|
17 |
Amano M Iwama K Undecidability on quantum finiteautomataIn: Proceedings of the 31st AnnualACM Symposium on Theory of ComputingAtlanta, GeorgiaACM Computer SocietyPress 1999 368375
|
18 |
Ambainis A Watrous J Two-way finite automata withquantum and classical statesTheoreticalComputer Science 2002 287299311. doi:10.1016/S0304‐3975(02)00138‐X
|
19 |
Bertoni A Carpentieri M Analogies and differences betweenquantum and stochastic automataTheoreticalComputer Science 2001 2626981. doi:10.1016/S0304‐3975(00)00154‐7
|
20 |
Bertoni A Carpentieri M Regular Languages acceptedby quantum automataInformation and Computation 2001 165174182. doi:10.1006/inco.2000.2911
|
21 |
Blondel V D Jeandel E Koiran P et al.Decidable and undecidable problems about quantumautomataSIAM Journal on Computing 2005 34(6)14641473. doi:10.1137/S0097539703425861
|
22 |
Bertoni A Mereghetti C Palano B Quantum computing: 1-way quantum automataIn: Proceedings of the 9th International Conference on Developments inLanguage Theory (DLT'2003), Lecture Notes in Computer Science 2003 2710120
|
23 |
Brodsky A Pippenger N Characterizations of 1-wayquantum finite automataSIAM Journal onComputing 2002 3114561478also seequant-ph/9903014,1999. doi: 10.1137/S0097539799353443
|
24 |
Ambainis A Kikusts A Valdats M On the class of languages recognizable by 1-way quantumfinite automataIn: Proceedings of the 18thAnnual Symposium on Theoretical Aspects of Computer Science, LectureNotes in Computer Science 2001 2010305316
|
25 |
Qiu D W Characterizationsof quantum automataJournal of Software 2003 14(1)915 (in Chinese)
|
26 |
Qiu D W Ying M S Characterizations of quantumautomataTheoretical Computer Science 2004 312479489. doi:10.1016/j.tcs.2003.08.007
|
27 |
Qiu D W Someobservations on two-way finite automata with quantum and classicalstatessee quant-ph/0701187 2007
|
28 |
Li L Z Qiu D W Determining the equivalencefor one-way quantum finite automataSee quant-ph/0703087v2,2007 Theoretical Computer Science (in press)
|
29 |
Gudder S QuantumcomputersInternational Journal of TheoreticalPhysics 2000 3921512177. doi:10.1023/A:1003692611402
|
30 |
Qiu D W Characterizationof sequential quantum machinesInternationalJournal of Theoretical Physics 2002 41811822. doi:10.1023/A:1015731405826
|
31 |
Li L Z Qiu D W Determination of equivalencebetween quantum sequential machinesTheoreticalComputer Science 2006 3586574. doi:10.1016/j.tcs.2006.03.001
|
32 |
Golovkins M Quantumpushdown automataIn: Proceedings of the27th Conference on Current Trends in Theory and Practice of Informatics.Lecture Notes in Computer Science 2000 1963336346
|
33 |
Nakanishi M Onthe power of one-sided error quantum pushdown automata with classicalstack operationsIn: Proceedings of the10th Annual International Computing and Combinatorics Conference (COCOON2004). Lecture Notes in Computer Science 2004 3106179187
|
34 |
Bernstein E Vazirani U Quantum complexity theorySIAM Journal on Computing 1997 26(5)14111473. doi:10.1137/S0097539796300921
|
35 |
Nishimura H Ozawa M Computational complexity ofuniform quantum circuit families and quantum Turing machinesTheoretical Computer Science 2002 276147181. doi:10.1016/S0304‐3975(01)00111‐6
|
36 |
Watrous J Space-boundedquantum complexityJournal of Computer andSystem Sciences 1999 59(2)281326. doi:10.1006/jcss.1999.1655
|
37 |
Hirvensalo M Onquantum computationPhD thesis Turku Centerfor Computer Science 1997
|
38 |
Qiu D W Simulationsof quantum Turing machines by quantum multi-stack machinesIn: Computability in Europe (CIE2008), Athens, Greece,June 15– 20, 2008also see arXiv: quant-ph/0501176 2005
|
39 |
Müller M Stronglyuniversal quantum Turing machines and invariance of Kolmogorov complexityIEEE Transactions on InformationTheory 2008 54(2)763780. doi:10.1109/TIT.2007.913263
|
40 |
Watrous J Onone-dimensional cellular automataIn: Proceedingsof the 36th IEEE Annual Symposium on Foundations of Computer Science 1995 528537
|
41 |
Dürr C Santha M A decision procedure for unitarylinear quantum cellular automataSIAM Journalon Computing 2002 31(4)10761089. doi:10.1137/S0097539797327702
|
42 |
Ying M S Automatatheory based on quantum logic IInternationalJournal of Theoretical Physics 2000 39981991
|
43 |
Ying M S Automatatheory based on quantum logic IIInternationalJournal of Theoretical Physics 2000 3925452557. doi:10.1023/A:1026453524064
|
44 |
Qiu D W Automataand grammar theory based on quantum logicJournal of Software 2003 14(1)2327(in Chinese)
|
45 |
Qiu D W Automatatheory based on quantum logic: Some characterizationsInformation and Compututation 2004 190179195. doi:10.1016/j.ic.2003.11.003
|
46 |
Lu R Q Zheng H Lattices of quantum automataInternational Journal of Theoretical Physics 2003 4214251449. doi:10.1023/A:1025775827938
|
47 |
Cheng W Wang J Grammar theory based on quantumlogicInternational Journal of TheoreticalPhysics 2003 4216771691. doi:10.1023/A:1026135502749
|
48 |
Ying M S Atheory of computation based on quantum logic (I)Theoretical Computer Science 2005 344134207. doi:10.1016/j.tcs.2005.04.001
|
49 |
Qiu D W Automatatheory based on quantum logic: reversibilities and pushdown automataTheoretical Computer Science 2007 3863856. doi:10.1016/j.tcs.2007.05.026
|
50 |
Qiu D W Noteson automata theory based on quantum logicScience in China (Series F: Information Sciences) 2007 50(2)154169. doi:10.1007/s11432‐007‐0020‐y
|
51 |
Rabin M O ProbabilisticautomataInformation and Control 1963 6230244. doi:10.1016/S0019‐9958(63)90290‐0
|
52 |
Paz A Introductionto Probabilistic AutomataNew YorkAcademic Press 1971
|
53 |
Li L Z Qiu D W A polynomial-time algorithmfor the equivalence between quantum sequential machinessee arXiv: quant-ph/0604085 2006
|
54 |
Tonder A V Alambda calculus for quantum computationSIAM Journal on Computing 2004 33(5)11091135. doi:10.1137/S0097539703432165
|
55 |
Gudder S Quantumautomata: An overviewInternational Journalof Theoretical Physics 1999 3822612282. doi:10.1023/A:1026663432352
|
56 |
Koshiba T Polynomial-timealgorithms for the equivalence for one-way quantum finite automataIn: Proceedings of the 12th International Symposiumon Algorithms and Computation (ISAAC'2001), Christchurch, New Zealand,Lecture Notes in Computer Science 2001 2223268278
|
57 |
Ambainis A Bonner R Freivalds R et al.Probabilities to accept languages by quantum finiteautomataIn: Proceedings of COCOON'99, LectureNotes in Computer Science 1999 1627174183
|
58 |
Ambainisa A Kikusts A Exact results for acceptingprobabilities of quantum automataTheoreticalComputer Science 2003 295325. doi:10.1016/S0304‐3975(02)00393‐6
|
59 |
Kikusts A A small1-way quantum finite automatonsee arXiv: quant-ph/9810065 1998
|
60 |
Ablayev F Gainutdinova A On the Lower Bounds for One-WayQuantum AutomataIn: Proceedings of 25thInternational Symposium on Mathematical Foundations of Computer Science(MFCS'2000), Lecture Notes in Computer Science 2000 1893132140
|
61 |
Bertoni A Mereghetti C Palano B Lower Bounds on the Size of Quantum Automata AcceptingUnary LanguagesIn: Proceedings of 8th ItalianConference on Theoretical Computer Science (ICTCS'2003), Lecture Notesin Computer Science 2003 28418696
|
62 |
Bertoni A Mereghetti C Palano B Small size quantum automata recognizing some regular languagesTheoretical Computer Science 2005 340394407. doi:10.1016/j.tcs.2005.03.032
|
63 |
Mereghetti C Palano B Upper Bounds on the Size ofOne-Way Quantum Finite AutomataIn: Proceedingsof the 7th Italian Conference on Theoretical Computer Science (ICTCS'2001),Lecture Notes in Computer Science 2001 2202123135
|
64 |
Mereghetti C Palano B On the size of one-way quantumfinite automata with periodic behaviorsTheoretical Informatics and Applications 2002 36277291. doi:10.1051/ita:2002014
|
65 |
Mereghetti C Palano B Quantum automata for some multiperiodiclanguagesTheoretical Computer Science 2007 387177186
|
66 |
Paschen K Quantumfinite automata using ancilla qubitsUniversityof Karlsruhe, Technical Report May 2000
|
67 |
Freivalds R Probabilistictwo-way machinesIn: Proceedings of theInternational Symposium on Mathematical Foundations of Computer Science,Lecture Notes in Computer Science 1981 1883345
|
68 |
Greenberg A Weiss A A lower bound for probabilisticalgorithms for finite state machinesJournalof Computer and System Sciences 1986 33(1)88105. doi:10.1016/0022‐0000(86)90045‐0
|
69 |
Dwork C Stockmeyer L A time-complexity gap for two-wayprobabilistic finite state automataSIAMJournal on Computing 1990 1910111023. doi:10.1137/0219069
|
70 |
Kaneps J Freivalds R Running time to recognize nonregularlanguages by 2-way probabilistic automataIn: Proceedings of the 18th International Colloquium on Automata, Languagesand Programming. Lecture Notes in Computer Science 1991 510174185
|
71 |
Dwork C Stockmeyer L Finite state verifier I: thepower of interactionJournal of the ACM 1992 39(4)800828. doi:10.1145/146585.146599
|
72 |
Birkhoff G von Neumann J The logic of quantum mechanicsAnnals of Mathematics 1936 37823843. doi:10.2307/1968621
|
73 |
Pták P Pulmannová S OrthomodularStructures as Quantum LogicsDordrechtKluwer 1991
|
74 |
Qiu D W Automatatheory based on complete residuated lattice-valued logicScience in China (Series F: Information Sciences) 2001 44(6)419429
|
75 |
Qiu D W Automatatheory based on complete residuated lattice-valued logic (II)Science in China (Series F: Information Sciences) 2002 45(6)442452
|
76 |
Ledda A Konig M Paoli F et al.MV-algebras and quantum computationStudia Logica 2006 82245270. doi:10.1007/s11225‐006‐7202‐2
|
77 |
Deutsch D Quantumcomputational networksProceedings of theRoyal Society of London Series A 1989 4007390
|
78 |
Adleman L DeMarrais J Huang H Quantum computabilitySIAM Journalon Computing 1997 26(5)15241540. doi:10.1137/S0097539795293639
|
79 |
Bennett C Bernstein E Brassard G et al.Strengths and weaknesses of quantum computationSIAM Journal on Computing 1997 26(5)15101523. doi:10.1137/S0097539796300933
|
80 |
Cleve R AnIntroduction to Quantum Complexity TheoryarXiv: quantph/9906111v1 1999
|
81 |
Fortnow L Rogers J Complexity limitations on quantumcomputationJournal of Computer and SystemSciences 1999 59(2)240252. doi:10.1006/jcss.1999.1651
|
82 |
Fortnow L Onecomplexity theorists view of quantum computingTheoretical Computer Science 2003 292597610. doi:10.1016/S0304‐3975(01)00377‐2
|
83 |
Simon D Onthe power of quantum computationSIAM Journalon Computing 1997 26(5)14741483. doi:10.1137/S0097539796298637
|
84 |
Spakowski H Thakur M Tripathi R Quantum and classical complexity classes: Separations,collapses, and closure propertiesInformationand Computation 2005 200(1)134. doi:10.1016/j.ic.2004.10.009
|
85 |
Yu S RegularLanguagesIn: Rozenberg GSalomaa AHandbook of Formal LanguagesBerlinSpring-Verlag 1998 41110
|
86 |
Nishimura H Yamakami T An application of quantum finiteautomata to interactive proof systemsIn: Proceedings of the 9th International Conference on Implementationand Application of Automata. Lecture Notes in Computer ScienceBerlinSpringer 2004 3317225236
|