The framework of noiseless subsystems has been developed as a tool to preserve fragile quantum information against decoherence.[1][2][3][4] In brief, when a quantum register (a Hilbert space) is subjected to decoherence due to an interaction with an external and uncontrollable environment, information stored in the register is, in general, degraded. It has been shown that when the source of decoherence exhibits some symmetries, certain subsystems of the quantum register are unaffected by the interactions with the environment and are thus noiseless. These noiseless subsystems are therefore very natural and robust tools that can be used for processing quantum information.
^Kempe, J.; Bacon, D.; Lidar, D. A.; Whaley, K. B. (2001), "Theory of decoherence-free fault-tolerant universal quantum computation", Physical Review A, 63 (4): 042307, arXiv:quant-ph/0004064, Bibcode:2001PhRvA..63d2307K, doi:10.1103/physreva.63.042307, S2CID 44200695
April 17, 2024
noiseless, subsystems, framework, noiseless, subsystems, been, developed, tool, preserve, fragile, quantum, information, against, decoherence, brief, when, quantum, register, hilbert, space, subjected, decoherence, interaction, with, external, uncontrollable, . The framework of noiseless subsystems has been developed as a tool to preserve fragile quantum information against decoherence 1 2 3 4 In brief when a quantum register a Hilbert space is subjected to decoherence due to an interaction with an external and uncontrollable environment information stored in the register is in general degraded It has been shown that when the source of decoherence exhibits some symmetries certain subsystems of the quantum register are unaffected by the interactions with the environment and are thus noiseless These noiseless subsystems are therefore very natural and robust tools that can be used for processing quantum information See also editDecoherence free subspacesReferences edit Zanardi P Rasetti M 1997 Noiseless quantum codes Physical Review Letters 79 17 3306 3309 arXiv quant ph 9705044 Bibcode 1997PhRvL 79 3306Z doi 10 1103 physrevlett 79 3306 S2CID 44477408 Lidar D A Chuang I L Whaley K B 1998 Decoherence free subspaces for quantum computation Physical Review Letters 81 12 2594 2597 arXiv quant ph 9807004 Bibcode 1998PhRvL 81 2594L doi 10 1103 physrevlett 81 2594 S2CID 13979882 Knill Emanuel Laflamme Raymond Viola Lorenza 2000 Theory of quantum error correction for general noise Physical Review Letters 84 11 2525 2528 arXiv quant ph 9604034 Bibcode 2000PhRvL 84 2525K doi 10 1103 PhysRevLett 84 2525 MR 1745959 PMID 11018926 S2CID 119102213 Kempe J Bacon D Lidar D A Whaley K B 2001 Theory of decoherence free fault tolerant universal quantum computation Physical Review A 63 4 042307 arXiv quant ph 0004064 Bibcode 2001PhRvA 63d2307K doi 10 1103 physreva 63 042307 S2CID 44200695 Retrieved from https en wikipedia org w index php title Noiseless subsystems amp oldid 1186697322, wikipedia, wiki, book, books, library,
