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

arXiv:quant-ph/0104096 · Physical Review A

Generation of two-mode nonclassical motional states and a Fredkin gate operation in a two-dimensional ion trap

Xu‐Bo Zou, Jaewan Kim, Hai-Woong Lee

Published May 4, 2001• 30 citations
arXivHTMLPDF

Abstract

We present an efficient scheme to generate two-mode SU(2) macroscopic quantum superposition states, entangled number states, and entangled coherent states for the vibrational motion of an ion trapped in a two-dimensional harmonic potential well. We also show that the same scheme can be used to realize a Fredkin gate operation.
DOI
10.1103/physreva.63.065801

Related papers

Generation of two-mode nonclassical states and a quantum-phase-gate operation in trapped-ion cavity QED

Xu‐Bo Zou, K. Pahlke, Wolfgang M. Mathis

We propose a scheme to generate nonclassical states of a quantum system, which is composed of the one-dimensional trapped-ion motion and a single-cavity field mode. We show that two-mode SU(2), entangled coherent states, two-mode squeezed vacuum states, and their superposition can be generated. If the vibration mode and the cavity mode are used to represent separately a qubit, a quantum phase gate can be implemented.

arXiv:quant-ph/0204070•Physical Review A•Jun 5, 2002•42 citations

Preparation of superpositions of SU(2) coherent states of the motion of a trapped ion.

Shi‐Biao Zheng

A scheme is presented for the generation of superpositions of two two-mode SU(2) coherent states of the motion for a trapped ion. In the scheme an ion is trapped in a two-dimensional isotropic harmonic potential and driven by two resonant laser beams. Under certain conditions, the motional two-mode SU(2) cat state can be generated after a conditional measurement on the internal state following the ion-laser interaction.

Australian Journal of Physics•Jun 22, 2000•2 citations

Realization of Nonclassical States and Two-Mode Coupling in the Motion of Two Trapped Ions

Zheng Shi-Biao

We propose a scheme to generate various nonclassical vibrational states in the collective motion of two trapped ions, such as squeezed states, Schrödinger cat states, and SU(2) states. It is based on Raman-type excitations. Two-mode coupling between the center-of-mass and relative vibrational modes can also be realized.

Communications in Theoretical Physics•Aug 15, 2002•0 citations

Realization of Nonclassical States and Two-Mode Coupling in the Motion of Two Trapped Ions

Zheng Zheng, Shi-Biao

We propose a scheme to generate various nonclassical vibrational states in the collective motion of twotrapped ions, such as squeezed states, Schrodinger cat states, and SU(2) states. It is based on Raman-type excitations.Two-mode coupling between the center-of-mass and relative vibrational modes can also be realized.

理论物理通讯:英文版•Jan 1, 2002•0 citations

Strong-driving-assisted generation of two-mode nonclassical states and swap gate operation in trapped-ion cavity QED

Zheng Xiao-Juan, Mao-Fa Fang, Cai Jian-Wu +2 more

We propose a simple and efficient scheme to generate a nonclassical state of a quantum system, which is composed of the one-dimension trapped-one motion and a single-cavity field mode. We also generate two-mode SU(2) Schr?dinger-cat states, entangled coherent states and squeezed cat states. In addition, we show that a quantum swap gate can be implemented if the vibration mode and cavity mode are used to represent separately a qubit. The distinct feature of the scheme is that it operates in the strong-excitation regime (? ?), which greatly enhances operation speed.

Journal of Physics B Atomic Molecular and Optical Physics•Nov 7, 2006•4 citations

Generation and stabilization of entangled coherent states for the vibrational modes of a trapped ion

Zhi‐Rong Zhong, Xin-Jie Huang, Zhen‐Biao Yang +2 more

We propose a scheme for preparation of entangled coherent states for the motion of an ion in a two-dimensional anisotropic trap. In the scheme, the ion is driven by four laser beams along different directions in the ion trap plane, resulting in carrier excitation and couplings between the internal and external degrees of freedom. When the total quantum number of the vibrational modes initially has a definite parity, the competition between the unitary dynamics and spontaneous emission will force the system to evolve to a steady state, where the vibrational modes are in a two-mode cat state. We show that the method can be extended to realization of entangled coherent states for three vibrational modes of an ion in a three-dimensional anisotropic trap.

arXiv:1905.04702•Physical Review A•Sep 10, 2018•22 citations
We propose a simple and efficient scheme to generate a nonclassical state of a quantum system, which is composed of the one-dimension trapped-one motion and a single-cavity field mode. We also generate two-mode SU(2) Schr?dinger-cat states, entangled coherent states and squeezed cat states. In addition, we show that a quantum swap gate can be implemented if the vibration mode and cavity mode are used to represent separately a qubit. The distinct feature of the scheme is that it operates in the strong-excitation regime (? ?), which greatly enhances operation speed.
We propose a scheme for preparation of entangled coherent states for the motion of an ion in a two-dimensional anisotropic trap. In the scheme, the ion is driven by four laser beams along different directions in the ion trap plane, resulting in carrier excitation and couplings between the internal and external degrees of freedom. When the total quantum number of the vibrational modes initially has a definite parity, the competition between the unitary dynamics and spontaneous emission will force the system to evolve to a steady state, where the vibrational modes are in a two-mode cat state. We show that the method can be extended to realization of entangled coherent states for three vibrational modes of an ion in a three-dimensional anisotropic trap.