Fetching the paper…
Reading the bibliography…
We consider an open quantum system described by the GKLS equation and we are interested in the onset of decoherence.
A. Kolmogoroff, Zufällige Bewegungen (zur Theorie der Brownschen Bewegung), Ann. of Math. (2) 35
1934
Earlier work this paper cites.
L. Hörmander, Hypoelliptic second order differential equations, Acta Math. 119
1967
Earlier work this paper cites.
L. P. Kupcov, The fundamental solutions of a certain class of elliptic-parabolic second order equations, Differencialcnye Uravnenija 8
1972
Earlier work this paper cites.
G. Lindblad, On the generators of quantum dynamical semigroups, Comm. Math. Phys. 48
1976
Earlier work this paper cites.
V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, Completely positive dynamical semigroups of n-level systems, Journal of Mathematical Physics 17
1976
Earlier work this paper cites.
E. Joos and H. D. Zeh, The emergence of classical properties through interaction with the environment, Z. Phys. b 59
1985
Earlier work this paper cites.
H. Risken, The Fokker-Planck equation (Springer-Verlag, Berlin, 1989)
1989
Earlier work this paper cites.
W. H. Zurek et al. , Decoherence and the transition from quantum to classical, Physics today 44
1991
Earlier work this paper cites.
J. P. Paz, S. Habib, and W. H. Zurek, Reduction of the wave packet: Preferred observable and decoherence time scale, Phys. Rev. D 47
1993
Earlier work this paper cites.
E. Lanconelli and S. Polidoro, On a class of hypoelliptic evolution operators, Rend. Sem. Mat. Univ. Politec. Torino 52
1993
Earlier work this paper cites.
D. A. Lidar, I. L. Chuang, and K. B. Whaley, Decoherence-free subspaces for quantum computation, Physical Review Letters 81
1998
Earlier work this paper cites.
M. Dimassi and J. Sjöstrand, Spectral asymptotics in the semi-classical limit , London Mathematical Society Lecture Note Series, Vol. 268 (Cambridge University Press, Cambridge, 1999)
1999
Cited alongside, same era.
D. Braun, P. A. Braun, and F. Haake, Long-lived quantum coherence between macroscopically distinct states in superradiance, Optics Communications 179
2000
Cited alongside, same era.
A. S. Holevo and R. F. Werner, Evaluating capacities of bosonic gaussian channels, Phys. Rev. A 63
2001
Cited alongside, same era.
H.-P. Breuer and F. Petruccione, The theory of open quantum systems (Oxford University Press, New York, 2002)
2002
Cited alongside, same era.
E. Joos, H. D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, and I.-O. Stamatescu, Decoherence and the appearance of a classical world in quantum theory (Springer-Verlag, Berlin, 2003)
2003
O. Brodier and A. M. Ozorio de Almeida, Markovian evolution of Gaussian states in the semiclassical limit, Phys. Lett. A 374
2010
Later among the works it cites.
C. Weedbrook, S. Pirandola, R. García-Patrón, N. J. Cerf, T. C. Ralph, J. H. Shapiro, and S. Lloyd, Gaussian quantum information, Rev. Mod. Phys. 84
2012
Later among the works it cites.
M. Zworski, Semiclassical analysis (American Mathematical Society, Providence, RI, 2012)
2012
Later among the works it cites.
G. Adesso, S. Ragy, and A. R. Lee, Continuous variable quantum information: Gaussian states and beyond, Open Systems & Information Dynamics 21
2014
Later among the works it cites.
D. A. Lidar, Review of decoherence-free subspaces, noiseless subsystems, and dynamical decoupling, Quantum information and computation for chemistry , 295 (2014)
2014
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Cited alongside, same era.
W. H. Zurek, Decoherence, einselection, and the quantum origins of the classical, Rev. Modern Phys. 75
2003
Cited alongside, same era.
D. A. Lidar and K. Birgitta Whaley, Decoherence-free subspaces and subsystems, in Irreversible quantum dynamics (Springer, 2003) pp. 83–120
2003
Cited alongside, same era.
S. L. Braunstein and P. van Loock, Quantum information with continuous variables, Rev. Mod. Phys. 77
2005
Cited alongside, same era.
R. Alicki and K. Lendi, Quantum dynamical semigroups and applications , Lecture Notes in Physics, Vol. 717 (Springer, Berlin, 2007)
2007
Cited alongside, same era.
K. Hornberger, Introduction to decoherence theory, in Entanglement and decoherence , Lecture Notes in Phys., Vol. 768 (Springer, Berlin, 2009) pp. 221–276
2009
Cited alongside, same era.
N. Yamamoto, Decoherence-free linear quantum subsystems, IEEE Transactions on Automatic Control 59
2014
Later among the works it cites.
M. Bramanti, An invitation to hypoelliptic operators and Hörmander’s vector fields (Springer, Cham, 2014)
2014
Later among the works it cites.
E. M. Graefe, B. Longstaff, T. Plastow, and R. Schubert, Lindblad dynamics of gaussian states and their superpositions in the semiclassical limit, Journal of Physics A: Mathematical and Theoretical 51
2018
Later among the works it cites.
M. Schlosshauer, Quantum decoherence, Phys. Rep. 831
2019
Later among the works it cites.
A. Agrachev, D. Barilari, and U. Boscain, A comprehensive introduction to sub-Riemannian geometry (Cambridge University Press, Cambridge, 2020)
2020
Later among the works it cites.