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理论物理通讯：英文版

Normally Ordered Quantum Gate Operators for Continuum Variables as Images of Classical Transforms

FANHong-Yi, LUHai-Liang

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

We derive normally ordered quantum gate operators for continuum variables by mapping classical transforms onto Fock space. Successive gate operations can be treated in a unified way that is using the technique of integration within an ordered product of operators.

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Two types of canonical transformations in two-mode classical phase space are mapped into the quantum mechanical Hilbert space to produce some new normally ordered unitary operators. These operators are evaluated in the coordinate (momentum) representations using the "integration within ordered product" technique, and the mapping is manifestly apparent in the derivation. New generalized coherent states are constructed in terms of these operators, and the uncertainty relations for these states are analysed.