Some quantum gate operators for continuum variables in \(q\)-deformed coordinate representation

DOI10.1007/s10773-010-0610-0zbMath1209.81141OpenAlexW1971985080MaRDI QIDQ2429959

Jun Song, Qiu-Yu Liu, Hong-Yi Fan, Ye-jun Xu

Publication date: 5 April 2011

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-010-0610-0

zbMATH Keywords

quantum computation\(q\)-deformed coordinate representationquantum gate operators

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10)

Related Items (1)

Photon-subtracted two-mode squeezed thermal state and its photon-number distribution

Cites Work

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• The \(q\)-analogues of squeezed states and some properties
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• PHASE OPERATOR AND PHASE STATE IN THERMO FIELD DYNAMICS
• The quantum group SU_q(2) and a q-analogue of the boson operators
• On the q oscillator and the quantum algebra su_q(1,1)
• A completeness relation for the q-analogue coherent states by q-integration
• THE CNOT QUANTUM LOGIC GATE USING q-DEFORMED OSCILLATORS
• Quantum computing: pro and con
• Eigenvectors of two particles’ relative position and total momentum
• Quantum algebra as the dynamical symmetry of the deformed Jaynes-Cummings model
• Hilbert spaces of analytic functions and generalized coherent states

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