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

Physical Review A

Preparation of motional macroscopic quantum-interference states of a trapped ion

Shi‐Biao Zheng

Published Jul 1, 1998• 54 citations
Publisher

Abstract

We propose a scheme for generating macroscopic quantum-interference (Schr\"odinger-cat) states of the motion of a trapped ion. In the scheme, a trapped ion is driven by two laser beams tuned to the first lower and upper vibrational sidebands, respectively. Under certain conditions, the detection of the internal state of the ion leaves the vibrational motion in a coherent state superposition. The scheme can be easily generalized to prepare other kinds of cat states.

DOI
10.1103/physreva.58.761

Related papers

Preparation of coherent-state superpositions and measurement of the Wigner function for the motion of two trapped ions

Shi‐Biao Zheng

We propose a scheme for generating superpositions of coherent states for both the centre-of-mass and relative vibrational modes of two trapped ions. In the proposed scheme two trapped ions are driven by two laser beams dispersively tuned to the first lower- and upper-vibrational sideband transitions, respectively. Under certain conditions, the measurement of the internal states leaves one vibrational mode in a superposition of two coherent states. Entangled coherent states for these two vibrational modes can also be generated. The scheme can be used to measure the Wigner function of one vibrational mode given that the other mode is initially in the vacuum state.

Journal of Optics B Quantum and Semiclassical Optics•Sep 25, 2001•1 citation

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

High-speed generation of macroscopic quantum-interference states for the motion of a trapped ion

Shi‐Biao Zheng

A scheme is presented for the generation of macroscopic quantum-interference states for the motion of a trapped ion. In the scheme the ion is driven by a standing-wave laser beam whose carrier frequency is tuned to the ion transition. The distinct feature of the scheme is that the time required to generate the desired state is limited only by the available laser intensity, not by inherent mechanisms such as off-resonant excitations. Therefore, our scheme may allow the generation of the desired state at a high speed, which is important in view of decoherence. In the two-dimension case, entangled coherent states can be obtained. The scheme can also be used to generate entangled states for multiple modes of $N$ trapped ions with a single strong standing-wave laser pulse.

Physical Review A•May 12, 2004•18 citations

Preparation of macroscopically distinguishable superpositions of circular or linear oscillatory states of a bidimensionally trapped ion

Sabrina Maniscalco, ANTONINO MESSINA, Anna Napoli

A simple scheme for the generation of two different classes of bidimensional vibrational Schrödinger cat-like states of an isotropically trapped ion is presented. We show that by appropriately adjusting an easily controllable parameter having a clear physical meaning, the states prepared by our procedure are quantum superpositions of either vibrational axial angular momentum eigenstates or Fock states along two orthogonal directions.

Journal of Modern Optics•Oct 1, 2000•10 citations

Preparation of arbitrary pure states of two-dimensional motion of a trapped ion

Shi‐Biao Zheng

A scheme is proposed to generate an arbitrary entangled state of the two-dimensional vibrational motion of a trapped ion. In the scheme the ion is excited by a sequence of laser pulses tuned to the appropriate vibrational sidebands. In order to generate a pure state with upper phonon numbers M and N in the X and Y directions, respectively, we require no more than $(M+2)(N+1)$ operations.

Physical Review A•Dec 6, 2000•20 citations

Fast scheme for generating quantum-interference states and GHZ state of N trapped ions

Zheng Xiao-Juan, Mao-Fa Fang, Xiang-Ping Liao +2 more

We propose a fast scheme to generate the quantum-interference states of N trapped ions. In the scheme the ions are driven by a standing-wave laser beam whose carrier frequency is tuned such that the ion transition can take place. We also propose a simple and fast scheme to produce the GHZ state of N hot trapped ions and this scheme is insensitive to the heating of vibrational motion, which is important from the viewpoint of decoherence.

Chinese Physics•Mar 20, 2007•6 citations
We propose a scheme for generating macroscopic quantum-interference (Schr"odinger-cat) states of the motion of a trapped ion. In the scheme, a trapped ion is driven by two laser beams tuned to the first lower and upper vibrational sidebands, respectively. Under certain conditions, the detection of the internal state of the ion leaves the vibrational motion in a coherent state superposition. The scheme can be easily generalized to prepare other kinds of cat states.
We propose a scheme for generating superpositions of coherent states for both the centre-of-mass and relative vibrational modes of two trapped ions. In the proposed scheme two trapped ions are driven by two laser beams dispersively tuned to the first lower- and upper-vibrational sideband transitions, respectively. Under certain conditions, the measurement of the internal states leaves one vibrational mode in a superposition of two coherent states. Entangled coherent states for these two vibrational modes can also be generated. The scheme can be used to measure the Wigner function of one vibrational mode given that the other mode is initially in the vacuum state.
A scheme is presented for the generation of macroscopic quantum-interference states for the motion of a trapped ion. In the scheme the ion is driven by a standing-wave laser beam whose carrier frequency is tuned to the ion transition. The distinct feature of the scheme is that the time required to generate the desired state is limited only by the available laser intensity, not by inherent mechanisms such as off-resonant excitations. Therefore, our scheme may allow the generation of the desired state at a high speed, which is important in view of decoherence. In the two-dimension case, entangled coherent states can be obtained. The scheme can also be used to generate entangled states for multiple modes of NNN trapped ions with a single strong standing-wave laser pulse.
A scheme is proposed to generate an arbitrary entangled state of the two-dimensional vibrational motion of a trapped ion. In the scheme the ion is excited by a sequence of laser pulses tuned to the appropriate vibrational sidebands. In order to generate a pure state with upper phonon numbers M and N in the X and Y directions, respectively, we require no more than (M+2)(N+1)(M+2)(N+1)(M+2)(N+1) operations.