Topological Protection and Quantum Noiseless Subsystems
نویسندگان
چکیده
منابع مشابه
Topological protection and quantum noiseless subsystems.
Encoding and manipulation of quantum information by means of topological degrees of freedom provides a promising way to achieve natural fault tolerance that is built in at the physical level. We show that this topological approach to quantum information processing is a particular instance of the notion of computation in a noiseless quantum subsystem. The latter then provides the most general co...
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We demonstrate the protection of one bit of quantum information against all collective noise in three nuclear spins. Because no subspace of states offers this protection, the quantum bit was encoded in a proper noiseless subsystem. We therefore realize a general and efficient method for protecting quantum information. Robustness was verified for a full set of noise operators that do not disting...
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Collective rotation channels are a fundamental class of channels in quantum computing and quantum information theory. The commutant of the noise operators for such a channel is a C∗-algebra which is equal to the set of fixed points for the channel. Finding the precise spatial structure of the commutant algebra for a set of noise operators associated with a channel is a core problem in quantum e...
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John A. Holbrook, David W. Kribs and Raymond Laflamme Department of Mathematics and Statistics, University of Guelph, Guelph, Ontario, Canada N1G 2W1. Institute for Quantum Computing, University of Waterloo, Waterloo, ON, CANADA N2L 3G1. Perimeter Institute for Theoretical Physics, 35 King St. North, Waterloo, ON, CANADA N2J 2W9.∗ Abstract The effect of noise on a quantum system can be describe...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2003
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.90.067902