Quantum Erasure of Decoherence
- 13 Downloads
We consider the classical algebra of observables that are diagonal in a given orthonormal basis, and define a complete decoherence process as a completely positive map that asymptotically converts any quantum observable into a diagonal one, while preserving the elements of the classical algebra. For quantum systems in dimension two and three any decoherence process can be undone by collecting classical information from the environment and using such an information to restore the initial system state. As a relevant example, we illustrate the quantum eraser of Scully et al. [Nature 351, 111 (1991)] as an example of environment-assisted correction, and present the generalization of the eraser setup for d-dimensional systems.
KeywordsClassical Information Classical Algebra Decoherence Process Initial System State Maximal Abelian Subalgebra
Unable to display preview. Download preview PDF.
- K. Kraus, States, Effects, and Operations: Fundamental Notions in Quantum Theory, Lect. Notes Phys. 190, Springer-Verlag, Berlin, 1983.Google Scholar
- W.H. Zurek, Phys. Today 44, 36 (1991); W. H. Zurek, Rev. Mod. Phys. 75, 715 (2003); M. Schlosshauer, Rev. Mod. Phys. 76, 1267 (2004).Google Scholar
- P. Shor, Phys. Rev. A 52, 2493 (1995); A.M. Steane, Phys. Rev. Lett. 77, 793 (1996); P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1998); D. A. Lidar et al., Phys. Rev. Lett. 81, 2594 (1998); E. Knill et al., Phys. Rev. Lett. 84, 2525 (2000); A.Yu. Kitaev, Annals Phys. 303, 2 (2003); J. Preskill, in: Introduction to Quantum Computation, H.-K. Lo, S. Popescu, and T. Spiller. eds., World Scientic, Singapore, 1998.CrossRefADSGoogle Scholar