An Approach by Representation of Algebras for Decoherence-Free Subspaces

作者: J. D. M. Vianna , Marco A. S. Trindade , E. Pinto

DOI: 10.1007/S00006-015-0623-0

关键词:

摘要: The aim of this paper is to present a general algebraic formulation for the Decoherence-Free Subspaces (DFSs). For purpose, we initially generalize some results Pauli and Artin about semisimple algebras. Then derive orthogonality theorems algebras analogous finite groups. In order build DFSs consider tensor product Clifford left minimal ideals. Furthermore, show that standard applications group theory in quantum chemistry can be obtained our formalism. Advantages perspectives are also discussed.

参考文章(30)
Basil J. Hiley, Marco Fernandes, Process and Time Springer Berlin Heidelberg. pp. 365- 383 ,(1997) , 10.1007/978-3-642-60707-3_24
N. A. M. Monk, B. J. Hiley, A Unified Algebraic Approach to Quantum Theory Foundations of Physics Letters. ,vol. 11, pp. 371- 377 ,(2014) , 10.1023/A:1022181008699
Timothy F. Havel, Chris J. L. Doran, Interaction and Entanglement in the Multiparticle Spacetime Algebra arXiv: Quantum Physics. pp. 227- 247 ,(2002) , 10.1007/978-1-4612-0089-5_21
M. C. B. Fernandes, J. D. M. Vianna, On the Generalized Phase Space Approach to Duffin-Kemmer-Petiau Particles Foundations of Physics. ,vol. 29, pp. 201- 219 ,(1999) , 10.1023/A:1018869505031
D. Bohm, B. J. Hiley, Relativistic Phase Space Arising out of the Dirac Algebra Springer US. pp. 67- 76 ,(1983) , 10.1007/978-1-4684-8830-2_5
Michele Mosca, Artur Ekert, The Hidden Subgroup Problem and Eigenvalue Estimation on a Quantum Computer Quantum Computing and Quantum Communications. pp. 174- 188 ,(1999) , 10.1007/3-540-49208-9_15
Mario Castagnino, Sebastian Fortin, Non-Hermitian Hamiltonians in decoherence and equilibrium theory Journal of Physics A. ,vol. 45, pp. 444009- ,(2012) , 10.1088/1751-8113/45/44/444009
P. A. M. Dirac, QUANTUM ELECTRODYNAMICS WITHOUT DEAD WOOD Physical Review. ,vol. 139, pp. 684- 690 ,(1965) , 10.1103/PHYSREV.139.B684
Dik Bouwmeester, Jian-Wei Pan, Matthew Daniell, Harald Weinfurter, Anton Zeilinger, Observation of three-photon Greenberger-Horne-Zeilinger entanglement Physical Review Letters. ,vol. 82, pp. 1345- 1349 ,(1999) , 10.1103/PHYSREVLETT.82.1345
P R Holland, Tensor conditions for algebraic spinors Journal of Physics A. ,vol. 16, pp. 2363- 2374 ,(1983) , 10.1088/0305-4470/16/11/010