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/0210177

Generating Fock states and two-Fock states superposition from circular states, in a trapped ion

Salomon Sylvain Mizrahi, Wagner Duarte José

Published Oct 25, 2002• 0 citations
arXivHTMLPDF

Abstract

We propose three schemes to engineer 2^M and M+1 circular states for the motion of the center of mass of a trapped ion, $M$ being the number of laser pulses. Since the ion is subjected to several laser pulses, we analyze the necessary duration of each one for generating the circular states, and from these, the Fock states and superposition of two-Fock states. We also calculate the probability for obtaining the required states.

DOI
10.48550/arxiv.quant-ph/0210177

Related papers

Generation of circular states and Fock states in a trapped ion

Wagner Duarte José, Salomon Sylvain Mizrahi

We propose three schemes to engineer a circular state (superposition of the harmonic oscillator coherent states on a circle in phase space) for the centre-of-mass motion of a trapped ion. We analyse the necessary duration of each laser pulse for constructing such states, and calculate the probability of obtaining the subtle superposition. We also show that it is possible to engineer Fock number states as a result of the interference effects in phase space of the coherent states superposition.

Journal of Optics B Quantum and Semiclassical Optics•May 24, 2000•29 citations

Preparation of arbitrary finite superpositions of Fock states for the centre-of-mass motion of two trapped ions

Shi‐Biao Zheng

We propose a scheme to drive the centre-of-mass vibrational motion of two trapped ions to an arbitrary finite superposition of Fock states from the vacuum state. In order to generate a superposition of N Fock states we need N operations. The scheme does not require differential laser addressing of individual ions.

Journal of Optics B Quantum and Semiclassical Optics•Sep 20, 2001•3 citations

Generation of Squeezed Number States of theMotion of a Trapped Ion

Zheng Shi-Biao

We propose a scheme for the generation of squeezed number states of the center-of-mass motion of a trapped ion. In the scheme the ion is excited by two laser fields tuned to the first lower and higher vibrational sidebands, and then by one laser tuned to the ion transition in an alternative way. Finally, the system is prepared in the state given by the product of the motional squeezed number state with the ground electronic state.

Acta Sinica Quantum Optica•Jan 1, 2003•0 citations

Generation of Superpositions of Two-Mode Coherent States for the Motion of Two Trapped Ions

Zheng Zheng, Shi-Biao

We propose a method for the generation of superpositions of two-mode coherent states for the center-of-mass and relative vibrational modes of two trapped ions. In the scheme the ions are driven by a single travelling-wave laser field tuned to the carrier. Then a measurement of the internal states collapses the vibrational modes to the entangled coherent state.

理论物理通讯：英文版•Jan 1, 2005•0 citations

Generation of Superpositions of Two-Mode Coherent States for the Motion of Two Trapped Ions

Shi-Biao Zheng

We propose a method for the generation of superpositions of two-mode coherent states for the center-of-mass and relative vibrational modes of two trapped ions. In the scheme the ions are driven by a single travelling-wave laser field tuned to the carrier. Then a measurement of the internal states collapses the vibrational modes to the entangled coherent state.

Communications in Theoretical Physics•Dec 1, 2005•0 citations

Quantum-State Engineering of Multiple Trapped Ions for Center-of-Mass Mode

Zeng Hao-Sheng, Kuang Le-Man, Zhu Xi-Wen +1 more

We propose a scheme to generate a superposition with arbitrary coefficients on a line in phase space for the center-of-mass vibrational mode of N ions by means of isolating all other spectator vibrational modes from the center-of-mass mode. It can be viewed as the generation of previous methods for preparing motional states of one ion. For large number of ions, we need only one cyclic operatin to generate such a superposition of many coherent states.

arXiv:quant-ph/0010110•Communications in Theoretical Physics•Sep 15, 2001•5 citations
We propose three schemes to engineer 2^M and M+1 circular states for the motion of the center of mass of a trapped ion, MMM being the number of laser pulses. Since the ion is subjected to several laser pulses, we analyze the necessary duration of each one for generating the circular states, and from these, the Fock states and superposition of two-Fock states. We also calculate the probability for obtaining the required states.