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Communications in Theoretical Physics

Transition Probabilities Among Fock States of an Ion in Harmonic Trap due to Alternating Electric Field

Ying Wu, Xiaoxue Yang

Published Jul 15, 2002• 1 citation
Publisher

Abstract

In this paper, we derive the exact analytical expressions of the transition probabilities among the Fock states of an ion in a harmonic trap due to the presence of an alternating electric field.
DOI
10.1088/0253-6102/38/1/19

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We present an alternative scheme to exactly implement one-qubit and two-qubit quantum gates with a single trapped cold ion driven by a travelling laser field. The internal degree of freedom of the ion acts as the target qubit and the control qubit is encoded by two Fock states of the external vibration of the ion. The conditions to realize these operations, including the duration of each applied laser pulse and Lamb-Dicke parameter, are derived. In our scheme neither the auxiliary atomic level nor the Lamb-Dicke approximation is required. The multiquantum transition between the internal and external degrees of freedom of the ion is considered.