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

Chinese Physics Letters

Realization of Quantum Logic Gates in Ion Traps Without Any Requirement on the Lamb-Dicke Parameter

Zheng Shi-Biao, Feng Mang, Xiwen Zhu

Published May 1, 2000• 6 citations
Publisher

Abstract

A scheme is presented for realizing quantum logic gate in an ion trap. In the scheme the state of the m th ion is first replicated onto the collective motion. Then a transformation, conditional on the motional state, is performed on the n th ion. Finally the motional state is replicated back onto the m th ion. By this way the quantum logic gate between the m th and the n th ions is realized. The scheme does not put any requirement on the Lamb-Dicke parameter.

DOI
10.1088/0256-307x/17/5/004

Related papers

Implementation of quantum logic gates via the interaction intrapped-ion cavity QED

Лей Ма

A new scheme is proposed to implement quantum logic gates such as single qubit rotation gate, two qubit controlled-phase gate and controlled-NOT gate, using the method based on a quantum system, which is composed of the one-dimensional trapped-ion motion and a single cavity field mode. In the present scheme, computation basis is composed by the internal ionic state and the cavity state by the connection of motional state. Furthermore, Lamb-Dicke limit is not required.

Chinese Journal of Quantum Electronics•Jan 1, 2004•0 citations

Exact Quantum Logic Gates with a Single Trapped Cold Ion

Lian-Fu Wei, Liu Shi-Yong, Lei Xiaolin

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.

Chinese Physics Letters•Oct 10, 2001•6 citations

Universal quantum computation with two-level trapped ions

Andrew M. Childs, Isaac L. Chuang

Although the initial proposal for ion trap quantum computation made use of an auxiliary internal level to perform logic between ions, this resource is not necessary in principle. Instead, one may perform such operations directly using sideband laser pulses, operating with an arbitrary (sufficiently small) Lamb-Dicke parameter. We explore the potential of this technique, showing how to perform logical operations between the internal state of an ion and the collective motional state and giving explicit constructions for a controlled-NOT gate between ions.

arXiv:quant-ph/0008065•Physical Review A•Dec 11, 2000•79 citations

Quantum logic gate operation between different ions in a trap

Li-Xiang Li, Guang‐Can Guo

We suggest a scheme for realizing a universal two-quantum-bit (qubit) operation. The scheme uses two laser beams with different intensities to illuminate two different ions in a harmonic trap. Both beams are tuned to the red motional sideband. We find that, under certain conditions, the interaction will realize a universal two-qubit operation, the controlled-rotation operation, which is to rotate the phase of the state by $\ensuremath{\pi}$ only when the two states are both in the $|1〉$ state. The scheme requires careful control of laser intensity and Lamb-Dicke parameters. But after we reach the required parameters, the logic operation is very simple.

Physical Review A•Jul 1, 1999•19 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

Cluster States from Quantum Logic Gates with Trapped Ions in Thermal Motion

Wen‐Xing Yang, Zhiming Zhan, Jiahua Li

Following the recent proposal by Briegel et al. [Phys. Rev. Lett. 86 (2001) 910], a procedure is proposed for one-step realizing quantum control phase gates with two trapped ions in thermal motion. It is shown that the scheme can also be used to create a new special type of entangled states, i.e., cluster states of many trapped ions. In the scheme the two-trapped ions are simultaneously excited by a single laser beam and the frequency of the laser beam is slightly off resonance with the first lower vibration sideband of the trapped ions. The distinct advantage of the scheme is that it does not use the vibrational mode as the data bus. Furthermore, our scheme is insensitive to both the initial motional state and heating (or decay) as long as the system remains in the Lamb–Dicke regime.

Chinese Physics Letters•Jan 1, 2006•9 citations
A scheme is presented for realizing quantum logic gate in an ion trap. In the scheme the state of the m th ion is first replicated onto the collective motion. Then a transformation, conditional on the motional state, is performed on the n th ion. Finally the motional state is replicated back onto the m th ion. By this way the quantum logic gate between the m th and the n th ions is realized. The scheme does not put any requirement on the Lamb-Dicke parameter.
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.
Although the initial proposal for ion trap quantum computation made use of an auxiliary internal level to perform logic between ions, this resource is not necessary in principle. Instead, one may perform such operations directly using sideband laser pulses, operating with an arbitrary (sufficiently small) Lamb-Dicke parameter. We explore the potential of this technique, showing how to perform logical operations between the internal state of an ion and the collective motional state and giving explicit constructions for a controlled-NOT gate between ions.
We suggest a scheme for realizing a universal two-quantum-bit (qubit) operation. The scheme uses two laser beams with different intensities to illuminate two different ions in a harmonic trap. Both beams are tuned to the red motional sideband. We find that, under certain conditions, the interaction will realize a universal two-qubit operation, the controlled-rotation operation, which is to rotate the phase of the state by $\ensuremath{\pi}$ only when the two states are both in the ∣1〉|1〉∣1〉 state. The scheme requires careful control of laser intensity and Lamb-Dicke parameters. But after we reach the required parameters, the logic operation is very simple.
Following the recent proposal by Briegel et al. [Phys. Rev. Lett. 86 (2001) 910], a procedure is proposed for one-step realizing quantum control phase gates with two trapped ions in thermal motion. It is shown that the scheme can also be used to create a new special type of entangled states, i.e., cluster states of many trapped ions. In the scheme the two-trapped ions are simultaneously excited by a single laser beam and the frequency of the laser beam is slightly off resonance with the first lower vibration sideband of the trapped ions. The distinct advantage of the scheme is that it does not use the vibrational mode as the data bus. Furthermore, our scheme is insensitive to both the initial motional state and heating (or decay) as long as the system remains in the Lamb–Dicke regime.