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

Modern Physics Letters B

SCHEME FOR DIRECT MEASURING QUASIPROBABILITY DISTRIBUTIONS OF N TRAPPED IONS IN THE DISPERSIVE REGIME

Wen‐Xing Yang, Xiao-Tao Xie, FANG-FANG LUO

Published Oct 30, 2006• 0 citations
Publisher

Abstract

In this letter, a procedure is proposed for reconstructing the motional quantum state of N trapped ions. Unlike other previous schemes, the present scheme works in the dispersive regime in the presence of dissipation. In our scheme, we show that it is possible to directly measure the quasiprobability distribution function corresponding to the motional coherent state in a trapped-ion system subjected to dissipation. We also provide an example of a motional Schrödinger cat state reconstruction to exemplify our procedure.

DOI
10.1142/s0217984906011785

Related papers

Scheme for direct measurement of the Wigner function of a trapped ion in the intermediate-excitation regime

Shi‐Biao Zheng

We propose a scheme to directly measure the Wigner function for the motion of a trapped ion. Unlike the previous scheme [Phys. Rev. Lett. 78, 2547 (1997)], the present scheme works in the intermediate-excitation regime, which may be of experimental importance in view of decoherence. The scheme can also be used to perform a quantum nondemolition measurement of the vibrational energy and prepare motional Schr\"odinger cat states.

Physical Review A•Apr 25, 2005•2 citations

Scheme for Direct Measurement of Wigner Characteristic Function for Motion of a Single Trapped Ion

Zhang Su-zhen, Xiao-Tao Xie, Wen‐Xing Yang

In this paper, a procedure is proposed for measuring Wigner characteristic function for motion of a single trapped ion. In the scheme, the trapped ion is driven by two laser beams with different frequencies tuned to the first lower and upper vibrational sidebands, respectively. Unlike other previous scheme, our scheme does not require the displacement of the external state before the ion-laser interaction and thus our scheme might be more simple and feasible. The scheme can also be used to prepare the motional Schrodinger cat states and entangled coherent states.

Communications in Theoretical Physics•Aug 1, 2006•2 citations

Motion tomography of a single trapped ion

J. F. Poyatos, R. Walser, J. I. Cirac +2 more

A method for the experimental reconstruction of the quantum state of motion for a single trapped ion is proposed. It is based on the measurement of the ground-state population of the trap after a sudden change of the trapping potential. In particular, we show how the $Q(\ensuremath{\alpha})$ function and the quadrature distribution $P(x, \ensuremath{\theta})$ can be measured directly. In an example we demonstrate the principle and analyze the sensitivity of the reconstruction process to experimental uncertainties as well as to finite grid limitations. Our method is not restricted to the Lamb-Dicke Limit and works in one or more dimensions.

arXiv:atom-ph/9601001•Physical Review A•Apr 1, 1996•116 citations

Motional quantum-state engineering and measurement in the strong-excitation regime

Shi‐Biao Zheng, Xiwen Zhu, Mang Feng

We propose a scheme to generate a superposition of several coherent states with arbitrary coefficients on a line in phase space and directly measure the Wigner characteristic function for the motion of a trapped ion. Unlike previous schemes for motional quantum-state engineering and endoscopy, the present scheme works in the strong-excitation regime, which may be of experimental importance in view of decoherence.

Physical Review A•Aug 10, 2000•22 citations

Direct measurement of quasiprobability distributions in cavity QED

Raúl Juárez-Amaro, H. M. Moya-Cessa

We show that the set of s-parametrized quasiprobability distribution functions corresponding to an electromagnetic field in a cavity subject to dissipation can be directly measured. Such distributions contain whole information of the quantum state, therefore making it possible to recover information after losses have occurred.

Physical Review A•Aug 6, 2003•15 citations

Experimental preparation and measurement of quantum states of motion of a trapped atom

Dietrich G. Leibfried, D. M. Meekhof, Christopher R. Monroe +3 more

Abstract : We report the creation and full determination of several quantum states of motion of a 9Be ion bound in a RF (Paul) trap. The states are coherently prepared from an ion which has been initially laser cooled to the zero-point of motion. We create states having both classical and non-classical character including thermal, number, coherent, squeezed, and Schrodinger cat states. The motional quantum state is fully reconstructed using two novel schemes that determine the density matrix in the number state basis or the Wigner function. Our techniques allow well controlled experiments decoherence and related phenomena on the quantum-classical borderline.

•Jan 1, 1997•0 citations
In this letter, a procedure is proposed for reconstructing the motional quantum state of N trapped ions. Unlike other previous schemes, the present scheme works in the dispersive regime in the presence of dissipation. In our scheme, we show that it is possible to directly measure the quasiprobability distribution function corresponding to the motional coherent state in a trapped-ion system subjected to dissipation. We also provide an example of a motional Schrödinger cat state reconstruction to exemplify our procedure.
In this paper, a procedure is proposed for measuring Wigner characteristic function for motion of a single trapped ion. In the scheme, the trapped ion is driven by two laser beams with different frequencies tuned to the first lower and upper vibrational sidebands, respectively. Unlike other previous scheme, our scheme does not require the displacement of the external state before the ion-laser interaction and thus our scheme might be more simple and feasible. The scheme can also be used to prepare the motional Schrodinger cat states and entangled coherent states.
A method for the experimental reconstruction of the quantum state of motion for a single trapped ion is proposed. It is based on the measurement of the ground-state population of the trap after a sudden change of the trapping potential. In particular, we show how the $Q(\ensuremath{\alpha})$ function and the quadrature distribution $P(x, \ensuremath{\theta})$ can be measured directly. In an example we demonstrate the principle and analyze the sensitivity of the reconstruction process to experimental uncertainties as well as to finite grid limitations. Our method is not restricted to the Lamb-Dicke Limit and works in one or more dimensions.
Abstract : We report the creation and full determination of several quantum states of motion of a 9Be ion bound in a RF (Paul) trap. The states are coherently prepared from an ion which has been initially laser cooled to the zero-point of motion. We create states having both classical and non-classical character including thermal, number, coherent, squeezed, and Schrodinger cat states. The motional quantum state is fully reconstructed using two novel schemes that determine the density matrix in the number state basis or the Wigner function. Our techniques allow well controlled experiments decoherence and related phenomena on the quantum-classical borderline.