[1]
|
D. R. Simon, “On the Power of Quantum Computation,” SIAM Journal on Computing, Vol. 26, No. 5, 1997, pp. 1474-1483. doi:10.1137/S0097539796298637
|
[2]
|
P. W. Shor, “Polynomial-Time Algorithms for Prime Fac- torization and Discrete Logarithms on a Quantum Computer,” SIAM Journal on Computing, Vol. 26, No. 5, 1997, pp. 1484-1509. doi:10.1137/S0097539795293172
|
[3]
|
S. Wiesner, “Conjugate Coding,” SIGACT News, Vol. 15, No. 1, 1983, pp. 78-88. doi:10.1145/1008908.1008920
|
[4]
|
C. Bennett, F. Bessette, G. Brassard, L. Salvail and J. Smolin, “Experimental Quantum Cryptography,” Journal of Cryptology, Vol. 5, No. 1, 1993, pp. 3-28.
doi:10.1007/BF00191318
|
[5]
|
P. W. Shor, “Algorithms for Quantum Computation: Discrete Logarithms and Factoring,” Proceedings of the 35th Annual Symposium on Foundations of Computer Science, Santa Fe, 1994, pp. 124-134.
doi:10.1109/SFCS.1994.365700
|
[6]
|
D. Deutch, “Quantum Computational Networks,” Proceedings of the Royal Society A, Vol. 425, No. 1868, 1985, pp. 73-90. doi:10.1098/rspa.1989.0099
|
[7]
|
L. Grover, “A Fast Quantum Mechanical Algorithm for Database Search,” Proceedings of the 28th Annual ACM Symposium on the Theory of Computation, ACM Press, New York, 1995.
|
[8]
|
S. Tomonaga, “On a Relativistically Invariant Formation of the Quantum Theory of Wave Fields, I.,” Progress of Theoretical Physics, Vol. 1, No. 2, 1946, pp. 27-42.
doi:10.1143/PTP.1.27
|
[9]
|
S. Tomonaga, “On a Relativistically Invariant Formation of the Quantum Theory of Wave Fields, II,” Progress of Theoretical Physics, Vol. 2, 1947, p. 101.
|
[10]
|
H. P. Breuer, “The Theory of Quantum Open Systems,” Oxford University Press, New York, 2002.
|
[11]
|
S. S. Schweber, “An Introduction to Relativistic Quantum Field Theory,” Row, Peterson and Company, Evanston, 1948.
|
[12]
|
J. Schwinger, “Quantum Electrodynamics. I. A Covariant Formulation,” Physical Review, Vol. 74, No. 10, 1948, pp. 1439-1461. doi:10.1103/PhysRev.74.1439
|
[13]
|
E. Prugovecki, “Principles of Quantum General Relativity,” World Scientific Publishing, Co. Pte. Ltd., Singapore, 1995.
|
[14]
|
D. Giulini, C. Kiefer and C. L?mmerzahl, “Quantum Gravity: From Theory to Experimental Search,” Springer-Verlag, New York, 2003.
|
[15]
|
X. S. Xing, “On Dynamical Statistical Information Theory,” Transactions of Beijing Institute of Technology (Chinese), Vol. 24, 2004.
|
[16]
|
B. Qiao, X. S. Xing and H. E. Ruda, “Dynamical Equations for Quantum Information and Application in Infor- mation Channel,” Chinese Physics Letters, Vol. 22, No. 7, 2005, p. 1618. doi:10.1088/0256-307X/22/7/016
|
[17]
|
M. Ohya and D. Petz, “Quantum Entropy and Its Use,” Springer-Verlag/Heidelberg, Berlin/New York, 2004.
|
[18]
|
H. J. Carmichael, “Statistical Methods in Quantum Optics 1, Master Equations and Fokker-Planck Equations,” Springer-Verlag/Heidelberg, Berlin/New York, 1999.
|
[19]
|
C. Arndt, “Information Measures, Information and Its Description in Science and Engineering,” Springer-Ver- lag/Heidelberg, Berlin/New York, 2001.
|
[20]
|
I. Antoniou and S. Tasaki, “Generalized Spectral De- compositions of Mixing Dynamical Systems,” International Journal of Quantum Chemistry, Vol. 46, No. 3, 1993, pp. 425-474. doi:10.1002/qua.560460311
|
[21]
|
T. Petrosky and I. Prigogine, “Alternative Formulation of Classical and Quantum Dynamics for Non-Integrable Systems,” Physica A: Statistical Mechanics and Its Applications, Vol. 175, No. 1, 1991, pp. 146-209.
doi:10.1016/0378-4371(91)90273-F
|
[22]
|
I. Antoniou, Y. Melnikov and B. Qiao, “Master Equation for a Quantum System Driven by a Strong Periodic Field in the Quasienergy Representation,” Physica A: Statistical Mechanics and Its Applications, Vol. 246, No. 1-2, 1997, pp. 97-114. doi:10.1016/S0378-4371(97)00343-9
|
[23]
|
B. Qiao, H. E. Ruda, M. S. Zhang and X. H. Zeng, “Kinetic Equation, Non-Perturbative Approach and Decoherence Free Subspace for Quantum Open System,” Physica A: Statistical Mechanics and Its Applications, Vol. 322, 2003, pp. 345-358. doi:10.1016/S0378-4371(02)01809-5
|
[24]
|
B. Qiao, H. E. Ruda and Z. D. Zhou, “Dynamical Equations of Quantum Information and Gaussian Channel,” Physica A: Statistical Mechanics and Its Applications, Vol. 363, No. 2, 2006, pp. 198-210.
doi:10.1016/j.physa.2005.08.044
|
[25]
|
R. Balescu, “Equilibrium and Non-Equilibrium Statistical Mechanics,” Wiley, New York, 1975.
|
[26]
|
S. Nakajima, “On Quantum Theory of Transport Phenomena,” Progress of Theoretical Physics, Vol. 20, No. 6, 1958, pp. 948-959. doi:10.1143/PTP.20.948
|
[27]
|
R. Zwanzig, “Ensemble Method in the Theory of Irreversibility,” Journal of Chemical Physics, Vol. 33, No. 5, 1960, pp. 1338-1341. doi:10.1063/1.1731409
|
[28]
|
S. Chapman, “Kinetic Theory of Simple and Composite Monatomic Gases: Viscosity, Thermal Conduction, and Diffusion,” Proceedings of the Royal Society of London. Series A, Vol. 93, No. 646, 1916, pp. 1-20.
doi:10.1098/rspa.1916.0046
|
[29]
|
D. Enskog, “Kinetische Theorie der Vorg?ng in M?ssig verdünnten Gasen,” Almqvist and Wiksells, Uppsala, 1917.
|
[30]
|
N. N. Bogoliubov, “Kinetic Equations,” Journal of Physics-USSR, Vol. 10, No. 256, 1946, p. 265.
|
[31]
|
M. Born and H. S. Green, “A General Kinetic Theory of Liquids,” Cambridge University Press, Cambridge, 1949.
|
[32]
|
J. G. Kirkwood, “The Statistical Mechanical Theory of Transport Processes I. General Theory,” Journal of Chemical Physics, Vol. 14, No. 3, 1946, p. 180.
doi:10.1063/1.1724117
|
[33]
|
J. G. Kirkwood, “Selected Topics in Statistical Mechanics,” I. Oppenheim, Ed., Gordon and Breach, New York, 1967.
|
[34]
|
J. Yvon, “La Theorie Statistiques des Fluides et l’Equa- tion d’Etat, Herman et Cie, Paris, 1935.
|
[35]
|
M. S. Green, “Markoff Random Processes and the Statis- tical Mechanics of Time—Dependent Phenomena. II. Irreversible Processes in Fluids,” Journal of Chemical Physics, Vol. 20, No. 3, 1954, pp. 398-413.
|
[36]
|
R. Kubo, “Statistical-Mechanical Theory of Irreversible Processes. I. General Theory and Simple Applications to Magnetic and Conduction Problems,” Journal of the Physical Society of Japan, Vol. 12, 1957, pp. 570-586.
doi:10.1143/JPSJ.12.570
|
[37]
|
H. Mori, “Statistical-Mechanical Theory of Transport in Fluids,” Physical Review, Vol. 112, 1958, pp. 1829-1842.
doi:10.1103/PhysRev.112.1829
|
[38]
|
H. Mori, “Correlation Function Method for Transport Phenomena,” Physical Review, Vol. 115, 1959, pp. 298-300.
doi:10.1103/PhysRev.115.298
|
[39]
|
D. Zubarev, V. Morozov and G. R?pke, “Statistical Mechanics of Nonequilibrium Processes,” Akademie Verlag, Berlin, 1996.
|
[40]
|
R. Luzzi, á. R. Vasconcellos and J. G. Ramos, “Predictive Statistical Mechanics—A Non-Equilibrium Ensemble Formalism,” Kluwer Academic Publishers, Dordrecht, 2002.
|
[41]
|
B. C. Eu, “Nonequilibrium Statistical Mechanics (Ensemble Method),” Kluwer Academic Publishers, Dordrecht/Boston/London, 1998.
|
[42]
|
X. S. Xing, “On Non Equilibrium Statistical Physics— Concurrently on the Fundamental Equation of Nonequilibrium Entropy,” Scientia Sinica Physica, Mechanica & Astronomica, Vol. 40, No. 12, 2011, pp. 1441-1660.
|
[43]
|
B. Qiao, H. E. Ruda, X. H. Zeng and B. B. Hu, “Extended Space for Quantum Cryptography Using Mixed States,” Physica A: Statistical Mechanics and Its Applications, Vol. 320, 2003, pp. 357-370.
doi:10.1016/S0378-4371(02)01539-X
|
[44]
|
B. Qiao, L. Guo and H. E. Ruda, “Quantum Computing in Decoherence-Free Subspace Constructed by Triangulation,” Advances in Mathematical Physics, Vol. 2010, 2010, Article ID: 365653.
|