Abstract
By virtue of deformation quantization methods we introduce the q-deformed coordinate representation. A new set of completeness and orthogonality relations composed of the ket and bra which are not mutually Hermitian conjugates are derived. Further, using the eigenket and eigenbra for q-deformed coordinate some important quantum gate operators for continuum variables are realized and their properties are discussed.
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Xu, Yj., Song, J., Fan, Hy. et al. Some Quantum Gate Operators for Continuum Variables in q-Deformed Coordinate Representation. Int J Theor Phys 50, 744–751 (2011). https://doi.org/10.1007/s10773-010-0610-0
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DOI: https://doi.org/10.1007/s10773-010-0610-0