Computer Science ›› 2020, Vol. 47 ›› Issue (1): 40-50.doi: 10.11896/jsjkx.190400432
• Computer Science Theory • Previous Articles Next Articles
Renata WONG
CLC Number:
| [1]MANIN Y.Вычислимое и невычислимое [S].Советское Радио,1980. [2]FEYNMAN R.Simulating physics with computers [J].International Journal of Theoretical Physics,1982,21(6/7):467-488. [3]BENIOFF P A.Quantum mechanical Hamiltonian models of Turing machines [J].Journal of Statistical Physics,1982,29(3):515-546. [4]DEUTSCH D.Quantum theory,the Church-Turing principle, and the universal quantum Turing machine [J].Proceedings of the Royal Society of London,1985,404(1818):97-117. [5]SIMON D.On the power of quantum computation [C]∥Foundations of Computer Science.IEEE,1994:116-123. [6]DEUTSCH D,JOZSA R.Rapid solution of problems by quantum computation [J].Proceedings of the Royal Society of London,1992,439(1907):553-558. [7]BERNSTEIN E,VAZIRANI U.Quantum complexity theory [C]∥Proc.25th Annual ACM Symposium on Theory of Computing.ACM,1993:11-20. [8]SHOR P.Polynomial-time algorithms for prime factorization and discrete logarithms on a quantum computer [J].SIAM Journal on Scientific and Statistical Computing,1994,26:1484-1509. [9]BERNSTEIN D,HENINGER N,LOU P,et al.Post-quantum RSA:Report 217/351[R].Cryptology ePrint Archive,2017. [10]MOORE G.Cramming more components onto integrated circuits [J].Electronics,1965,38(8):114-117. [11]GREENLAW R,HOOVER H,RUZZO W.Limits to parallel computation:P-completeness theory [M].Oxford University Press,1995. [12]LADNER R.The circuit value problem is log space complete for P [J].SIGACT News,1975,7(1):18-20. [13]EINSTEIN A.Über einen die Erzeugung und Verwandlung des Lichtes betreffenden heuristischen Gesichtspunkt [J].Annalen der Physik,1905,17:132-148. [14]VON NEUMANN J.Mathematische Grundlagen der Quantenmechanik [M].Springer,1932. [15]RANGAN C,BLOCH A M,MONROE C,et al.Control of trapped-ion quantum states with optical pulses [J].Physical Review Letters,2004,92(11):113004. [16]HUANG G M,TARN T J,CLARK J W.On the controllability of quantum-mechanical systems [J].Journal of Mathematical Physics,1983,24(11):2608- 2618. [17]LAU H K,POOSER R,SIOPSIS G,et al.Quantum Machine Learning over Infinite Dimensions [J].arXiv:1603.06222.Physical Review Letters,2017(118):080501. [18]BORN M.Zur Quantenmechanik der Stoβvorgänge [J]. Zeitschrift für Physik,1926,37:863-867. [19]HEISENBERG W.Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik [J].Zeitschrift für Physik,1927,43(3):172-198. [20]ROBERTSON H.The uncertainty principle [J].Physical Re- view,1929,34:163-164. [21]BACH R,POPE D,LIOU S H,et al.Controlled double-slit electron diffraction [J].New Journal of Physics,2013,15:033018. [22]SCHRÖDINGER E.An undulatory theory of the mechanics of atoms and molecules [J].Physical Review,1926,28(6):1049-1070. [23]PAULI W.Die allgemeinen Prinzipien der Wellenmechanik [M]∥Handbuch der Physik (24).Springer,1933. [24]GARRISON J,WONG J.Canonically conjugate pairs,uncertainty relations,and phase operators [J].Journal of Mathematical Physics,1970,11(8):2242-2249. [25]POISSON J.Poisson bracket [J].Journal de l’École Polytechnique,1809,8:266. [26]MANDELSTAM L,TAMM I.The uncertainty relation between energy and time in nonrelativistic quantum mechanics [J].Journal of Physics (USSR),1945,9(4):249-254. [27]AHARONOV Y,BOHM D.Time in the Quantum Theory and the Uncertainty Relation for Time and Energy [J].Physical Review,1961,122(5):1649-1658. [28]BRIGGS J S.A derivation of the time-energy uncertainty relation [J].Journal of Physics Conference Series,2008,99:012002. [29]KLEIN U.What is the limit of quantum theory? [J].American Journal of Physics,2012,80(11):1009. [30]SEN D,SENGUPTA S.A critique of the classical limit problem of quantum mechanics [J].Foundations of Physics Letters,2006,19:403-412. [31]SREDNICKI M.Quantum Field Theory [M].Cambridge University Press,2007. [32]BUNGE M.The turn of the tide [M]∥Quantum theory and reality.Springer,1967. [33]HEISENBERG W.Die physikalischen Prinzipien der Quantentheorie [M].S.Hirzel,1930. [34]UFFINK J.The rate of evolution of a quantum state[J].Ameri- can Journal of Physics,1993,61:935. [35]MARGOLUS N,LEVITIN L B.The maximum speed of dynami- cal evolution [J].Physica D,1998,120:188. [36]DEFFNER S,CAMPBELL S.Quantum speed limits:from Heisenberg’s uncertainty principle to optimal quantum control [J].Journal of Physics A,2017,50(45):453001. [37]LEVITIN L B,TOFFOLI Y.Fundamental limit on the rate of quantum dynamics:The unified bound is tight [J].Physical Review Letters,2009,103:160502. [38]LLOYD S.Ultimate physical limits to computation [J].Nature,2000,406:1047-1054. [39]COLES R,KANIEWSKI J,WEHNER S.Equivalence of wave-particle duality to entropic uncertainty [J].Nature Communications,2014,5:5814ôarXiv:1403.4687. [40]COLES R,BERTA M,TOMAMICHEL M,et al.Entropic uncertainty relations and their applications [J].Reviews of Mo-dern Physics,2017,89(1):015002-1. [41]DüRR S,REMPE G.Can wave-particle duality be based on the uncertainty relation? [J].American Journal of Physics,2000,68:1021-1024. [42]BUSCH P,SHILLADAY C.Complementarity and uncertainty in Mach-Zehnder interferometry and beyond [J].Physics Reports,2006,435:1-31. [43]YOUNG T.Bakerian Lecture:Experiments and calculations rela- tive to physical optics [J].Philosophical Transactions of the Royal Society,1804,94:1-16. [44]ROZEMA L A,DARABI A,MAHLER D H,et al.Violation of Heisenberg’s measurement-disturbance relationship by weak measurements [J].Physical Review Letters,2012,109:100404. [45]MARGENAU H.Measurements in quantum mechanics [J]. Annals of Physics,1963,23(3):469-485. [46]POPPER K.Quantum mechanics without “the observer” [M]∥Quantum theory and reality.Springer,1967. [47]BALLENTINE L E.The statistical interpretation of quantum mechanics [J].Review of Modern Physics,1970,42(4):358-381. [48]OZAWA M.Uncertainty relations for noise and disturbance in generalized quantum measurements [J].Annals of Physics,2003,311(2):350-416. [49]OZAWA M.Uncertainty relations for joint measurements of noncommuting observables [J].Physics Letters A,2004,320:367-374. [50]BAEK S-Y,KANEDA F,OZAWA M,et al.Experimental violation and reformulation of the Heisenberg’s error-disturbance uncertainty relation [R].Scientific Reports 3,2013. [51]HIRSCHMAN I I.A note on entropy [J].American Journal of Mathematics,1957,79(1):152-156. [52]COLES P J,BERTA M,TOMAMICHEL M,et al.Entropic uncertainty relations and their applications [J].Review of Modern Physics,2017,89(1):015002. [53]MAASSEN H,UFFINK J B M.Generalized entropic uncertainty relations [J].Physical review Letters,1988,60(12):1103-1106. [54]DEUTSCH D.Uncertainty in quantum measurements [J]. Physical Review Letters,1982,50(9):631-633. [55]BIAłYNICKI-BIRULA I,MYCIELSKI J.Uncertainty relations for information entropy in wave mechanics [J].Communications in Mathematical Physics,1975,44(2):129-132. |
| [1] | Renata WONG. Application of Early Quantum Algorithms in Quantum Communication,Error Correction and Other Fields [J]. Computer Science, 2022, 49(6A): 645-648. |
| [2] | LIU Xiao-nan, SONG Hui-chao, WANG Hong, JIANG Duo, AN Jia-le. Survey on Improvement and Application of Grover Algorithm [J]. Computer Science, 2021, 48(10): 315-323. |
|
||
Home