[1]
|
G. López, M. Murgua and M. Sosa, “Quantization of One-Dimensional Free Particle Motion with Dissipation,” Modern Physics Letters B, Vol. 15, No. 22, 2001, pp. 965-971. doi:10.1142/S0217984901002750
|
[2]
|
G. López and P. López, “Velocity Quantization Approach of the One-Dimensional Dissipative Harmonic Oscillator,” International Journal of Theoretical Physics, Vol. 45, No. 4, 2006, pp. 734-742.
doi:10.1007/s10773-006-9064-9
|
[3]
|
H.-P. Breuer and F. Petruccione, “The Theory of Open Quantum Systems,” Oxford University Press, Oxford, 2006.
|
[4]
|
G. Lindblad, “On the Generators of Quantum Dynamical Semigroups,” Communications in Mathematical Physics, Vol. 48, No. 2, 1976, pp. 119-130.
doi:10.1007/BF01608499
|
[5]
|
A. O. Caldeira and A. T. Legget, “Path Integral Approach to Quantum Brownian Motion,” Physica A, Vol. 121, No. 3, 1983, pp. 587-616. doi:10.1016/0378-4371(83)90013-4
|
[6]
|
B. L. Hu, J. P. Paz and Y. Zhang, “Quantum Brownian Motion in a General Environment: Exact Master Equation with Nonlocal Dissipation and Colored Noised,” Physical Review D, Vol. 45, No. 8, 1992, pp. 2843-2861.
doi:10.1103/PhysRevD.45.2843
|
[7]
|
J. P. Paz and W. H. Zurek, “Environment-Induced Decoherence, Classicality and Consistency of Quantum Histories,” Physical Review D, Vol. 48, 1993, pp. 2728-2738.
doi:10.1103/PhysRevD.48.2728
|
[8]
|
A. Rivas, A. D. K. Plato, S. F. Huelga and M. B. Plenio, “Markovian Master Equations: A Critical Study,” New Journal of Physics, Vol. 12, 2010, Article ID: 113032.
doi:10.1088/1367-2630/12/11/113032
|
[9]
|
W. H. Zurek, “Decoherence, Einselection, and the Quantum Origins of the Classical,” Reviews of Modwen Physics, Vol. 75, 2003, pp. 715-775.
|
[10]
|
W. H. Zurek, “Decoherence and the Transition from Quantum to Classical,” arXiv: quant-ph/0306072, 2003, pp. 1-24.
|
[11]
|
H. D. Zeh, “There Is Not ‘First’ Quantization,” Physical Letters A, Vol. 309, No. 5, 2003, pp. 329-334.
doi:10.1016/S0375-9601(03)00209-3
|
[12]
|
M. Zwolak, H. T. Quan and W. H. Zurek, “Quantum Darwinism in a Mixed Environment,” Physical Review Letters, Vol. 103, 2009, Article ID: 110402.
doi:10.1103/PhysRevLett.103.110402
|
[13]
|
L. Mazzola, J. Piilo and S. Maniscalco, “Sudden Transition between Classical and Quantum Decoherence,” Physical Review Letters, Vol. 104, No. 20, 2010, Article ID: 200401. doi:10.1103/PhysRevLett.104.200401
|
[14]
|
F. Intravaia, S. Maniscalco and A. Messina, “Density-Matrix Operatorial Solution of the Non-Markovian Master Equation for Quantum Brownian Motion,” Physical Review A, Vol. 67, No. 4, 2003, Article ID: 042108.
doi:10.1103/PhysRevA.67.042108
|
[15]
|
S. Maniscalco and F. Petruccione, “Non-Markovian Dynamics of a Qubit,” Physical Review A, Vol. 73, No. 1, 2006, Article ID: 012111.
doi:10.1103/PhysRevA.73.012111
|
[16]
|
H.-P. Breuer, “Non-Markovian Generalization of the Lindblad Theory of Open Quantum Systems,” Physical Review A, Vol. 75, No. 2, 2007, Article ID: 022103.
doi:10.1103/PhysRevA.75.022103
|
[17]
|
H.-P. Breuer, E.-M. Laine and J. Piilo, “Measure for the Degree of Non-Markovian Behavior of Quantum Processes in Open Systems,” Physical Review A, Vol. 103, No. 21, 2009, Article ID: 210401.
|
[18]
|
A. Rivas, S. F. Huelga and M. B. Plenio, “Entanglement and Non-Markovian of Quantum Evolutions,” Physical Review Letters, Vol. 105, No. 5, 2010, Article ID: 050403.
doi:10.1103/PhysRevLett.105.050403
|
[19]
|
G. P. Berman, D. D. Doolen, D. I. Kamenev, G. V. López and V. I. Tsifrinovich, “Perturbation Theory and Numerical Modeling of Quantum Logic Operations with Large Number of Qubits,” Contemporary Mathematics, Vol. 305, 2002, pp. 13-41. doi:10.1090/conm/305/05213
|
[20]
|
D. Solenov, D. Tolkunov and V. Privman, “Exchange Interaction, Entanglement, and Quantum Noise Due to Thermal Bosonic Field,” Physical Review B, Vol. 75, No. 3, 2007, Article ID: 035134.
doi:10.1103/PhysRevB.75.035134
|
[21]
|
A. A. Slutskin, K. N. Bratus, A. Bergvall and V. S. Shumeiko, “Non-Markovian Decoherence of a Two-Level System Weakly Coupled to a Bosonic Bath,” Europhysics Letters, Vol. 96, No. 4, 2011, Article ID: 40003.
doi:10.1209/0295-5075/96/40003
|
[22]
|
N. P. Oxtopy, A. Rivas, S. F. Huelga and R. Fazio, “Probing a Composite Spin-Boson Environment,” New Journal of Physics, Vol. 11, 2009, Article ID: 063028.
|
[23]
|
G. V. López and L. Lara, “Numerical Simulation of a Controlled-Controlled-Not (CCN) Quantum Gate in a Chain of Three Interacting Nuclear Spins System,” Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 39, No. 18, 2006, pp. 3897-3904.
doi:10.1088/0953-4075/39/18/019
|
[24]
|
G. V. López, J. Quezada, G. P. Berman, D. D. Doolen, and V. I. Tsifrinovich, “Numerical Simulation of a Quantum Controlled-Not Gate Implemented on Four-Spin Molecules at Room Temperature,” Journal of Optics B: Quan- tum and Semiclassical Optics, Vol. 5, No. 2, 2003, pp. 184-189. doi:10.1088/1464-4266/5/2/311
|
[25]
|
G. V. López, T. Gorin and L. Lara, “Simulation of Grover’s Quantum Search Algorithm in an Ising-Nuclear-Spin-Chain Quantum Computer with First-and-Second-Nearest-Neighbor Couplings,” Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 41, No. 5, 2008, Article ID: 055504.
|
[26]
|
N. Y. Yao, et al., “Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor,” arXiv: 1012.2864v1, 2002.
|
[27]
|
F. W. Cummings, “Stimulated Emission of Radiation in a Single Mode,” Physical Review Letters, Vol. 140, No. 4A, 1965, p. A1051.
|
[28]
|
G. V. López and P. López, “Study of Decoherence of Elementary Gates Implemented in a Chain of Few Nuclear Spins Quantum Computer Model,” Journal of Modern Physics, Vol. 3, No. 1, 2012, p. 85.
|
[29]
|
S. Das and G. S. Agarwal, “Decoherence Effects in Interacting Qubits under the Influence of Various Environments,” Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 42, 2009, Article ID: 205502.
|