Sonia L'Innocente et al 2009 J. Phys. A: Math. Theor. 42 475305 doi:10.1088/1751-8113/42/47/475305
Quantum state transfer in a q-deformed chain
Sonia L'Innocente1,2, Cosmo Lupo2 and Stefano Mancini2
Show affiliationsWe investigate the quantum state transfer in a chain of particles satisfying the q-deformed oscillators algebra. This general algebraic setting includes the spin chain and the bosonic chain as limiting cases. We study conditions for perfect state transfer depending on the number of sites and excitations on the chain. They are formulated by means of irreducible representations of a quantum algebra realized through Jordan–Schwinger maps. Playing with deformation parameters, we can study the effects of nonlinear perturbations or interpolate between the spin and bosonic chains.
- PACS
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03.67.Lx Quantum computation architectures and implementations
- MSC
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81R50 Quantum groups and related algebraic methods (See also 16W35, 17B37)
81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
- Dates
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Issue 47 (27 November 2009)
Received 13 February 2009, in final form 5 October 2009
Published 6 November 2009
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Quantum state transfer in a q-deformed chain
Sonia L'Innocente et al 2009 J. Phys. A: Math. Theor. 42 475305
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