Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications in Theoretical Physics

Quantum Logic Operation with Single Trapped Ion Without Limitation of Lamb–Dicke Parameter

Zhang Rong, Zhu Shi-Qun

Published Jun 15, 2003• 0 citations
Publisher

Abstract

By applying the nonlinear interaction between internal and external degrees of a trapped ion with the assistance of two pairs or three pairs of laser beams that are perpendicular to each other, the realization of quantum logic operation without the limitation on the Lamb-Dicke parameter can be achieved when the lasers are tuned to the carrier.

DOI
10.1088/0253-6102/39/6/709

Related papers

Quantum Logic Operation with Single Trapped Ion Without Limitation of Lamb—Dicke parameter

Zhang, ZHUShi-Qun

By applying the nonlinear interaction between internal and external degrees of a trapped ion with theassistance of two pairs or three pairs of laser beams that are perpendicular to each other, the realization of quantumlogic operation without the limitation on the Lamb-Dicke parameter can be achieved when the lasers are tuned to thecarrier.

理论物理通讯：英文版•Jan 1, 2003•0 citations

Quantum logic operation with a single trapped ion using the nonlinear interaction beyond the Lamb-Dicke limit

L X Li, Guan-Can Guo

Using the nonlinear interaction between internal and external degrees of a trapped ion assisted by a laser beam, we present simplified methods for two-qubit quantum logic operation. The nonlinear interaction arises when the Lamb-Dicke parameter is not small enough. Two special cases, one with the laser tuned to the first red sideband and the other tuned to the carrier, are discussed in detail.

Journal of Optics B Quantum and Semiclassical Optics•Feb 1, 2000•3 citations

Quantum logic operation with single trapped ion by two pairs of laser beams

Rong Zhang, Jianxing Fang, Shiqun Zhu

We present a scheme to realize the quantum logic operation without an auxiliary level or the limitation on the Lamb-Dicke parameter. The scheme uses two pairs of laser beams that are perpendicular to each other, both of the beams are tuned to the carrier. The internal state of the ion acts as the target qubit and the Fock state of the ion as the control qubit.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Sep 11, 2002•0 citations

Quantum logic gates with single trapped ions could be implemented for arbitrary Lamb-Dicke parameters

L. F. Wei, Miao Zhang, H. Y. Jia +1 more

Quantum controlled-NOT (CNOT) gates with single trapped cold ions have been experimentally demonstrated [C. Monroe et al., Phys. Rev. Lett. 75, 4714 (1995)] by using auxiliary atomic levels (besides the qubit ones) and under the usual Lamb-Dicke (LD) limit (wherein the so-called LD parameter, which represents the interaction strength between the internal and external degrees of freedom of the driven ion, is required to be sufficiently small). It has been shown [C. Monroe et al., Phys. Rev. A 55, R2489 (1997); L. F. Wei et al., 65, 062316 (2002)] that, beyond the LD limit, these gates could also be implemented for certain specific LD parameters. Here, we further show that, without any auxiliary atomic level, the desirable quantum logic gates could still be realized with sufficiently high fidelities for arbitrary LD parameters, as long as the durations of the applied laser pulses are accurately set within the decoherence times of the ions.

Physical Review A•Jul 30, 2008•5 citations

Quantum computation with two-level trapped cold ions beyond Lamb-Dicke limit

L. F. Wei, S. Y. Liu, X. L. Lei

We propose a simple scheme for implementing quantum logic gates with a string of two-level trapped cold ions outside the Lamb-Dicke limit. Two internal states of each ion are used as one computational qubit (CQ) and the collective vibration of ions acts as the information bus, i.e., the bus qubit (BQ). Using the quantum dynamics for the laser-ion interaction as described by a generalized Jaynes-Cummings model, we show that quantum entanglement between any one CQ and the BQ can be coherently manipulated by applying classical laser beams. As a result, universal quantum gates, i.e., the one-qubit rotation and two-qubit controlled gates, can be implemented exactly. The required experimental parameters for the implementation, including the Lamb-Dicke (LD) parameter and the durations of the applied laser pulses, are derived. Neither the LD approximation for the laser-ion interaction nor the auxiliary atomic level is needed in the present scheme.

arXiv:quant-ph/0205077•Physical Review A•Jun 14, 2002•38 citations

Quantum controlled-NOT gates with a single trapped ion

L. F. Wei, X. L. Lei

We show that, under certain conditions, the two-qubit controlled-NOT logic operations can be realized exactly using one laser pulse. The target qubit and the control qubit are encoded by the internal and external degrees of freedom of a single trapped ion. The multiquantum process of the interaction between the internal and external degrees of freedom of the ion is considered. This scheme neither requires the cooled ion in its vibrational ground state nor necessitates performance of the Lamb-Dicke approximation.

Journal of Optics B Quantum and Semiclassical Optics•Sep 6, 2000•8 citations
By applying the nonlinear interaction between internal and external degrees of a trapped ion with the assistance of two pairs or three pairs of laser beams that are perpendicular to each other, the realization of quantum logic operation without the limitation on the Lamb-Dicke parameter can be achieved when the lasers are tuned to the carrier.
Quantum controlled-NOT (CNOT) gates with single trapped cold ions have been experimentally demonstrated [C. Monroe et al., Phys. Rev. Lett. 75, 4714 (1995)] by using auxiliary atomic levels (besides the qubit ones) and under the usual Lamb-Dicke (LD) limit (wherein the so-called LD parameter, which represents the interaction strength between the internal and external degrees of freedom of the driven ion, is required to be sufficiently small). It has been shown [C. Monroe et al., Phys. Rev. A 55, R2489 (1997); L. F. Wei et al., 65, 062316 (2002)] that, beyond the LD limit, these gates could also be implemented for certain specific LD parameters. Here, we further show that, without any auxiliary atomic level, the desirable quantum logic gates could still be realized with sufficiently high fidelities for arbitrary LD parameters, as long as the durations of the applied laser pulses are accurately set within the decoherence times of the ions.
We propose a simple scheme for implementing quantum logic gates with a string of two-level trapped cold ions outside the Lamb-Dicke limit. Two internal states of each ion are used as one computational qubit (CQ) and the collective vibration of ions acts as the information bus, i.e., the bus qubit (BQ). Using the quantum dynamics for the laser-ion interaction as described by a generalized Jaynes-Cummings model, we show that quantum entanglement between any one CQ and the BQ can be coherently manipulated by applying classical laser beams. As a result, universal quantum gates, i.e., the one-qubit rotation and two-qubit controlled gates, can be implemented exactly. The required experimental parameters for the implementation, including the Lamb-Dicke (LD) parameter and the durations of the applied laser pulses, are derived. Neither the LD approximation for the laser-ion interaction nor the auxiliary atomic level is needed in the present scheme.
We show that, under certain conditions, the two-qubit controlled-NOT logic operations can be realized exactly using one laser pulse. The target qubit and the control qubit are encoded by the internal and external degrees of freedom of a single trapped ion. The multiquantum process of the interaction between the internal and external degrees of freedom of the ion is considered. This scheme neither requires the cooled ion in its vibrational ground state nor necessitates performance of the Lamb-Dicke approximation.