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

Fortschritte der Physik

Schemes of Quantum Computations with Trapped Ions

J. F. Poyatos, J. I. Cirac, P. Zoller

Published Sep 1, 2000• 6 citations
Publisher

Abstract

The purpose of this article is to review two complementary schemes for quantum computation with trapped ions. We initially discuss the first proposal of quantum computations with cold trapped ions (J. I. Cirac and P. Zoller; Phys. Rev. Lett. 74, 4091, 1995) which requires, prior to any computation, laser cooling to the motional ground state. This proposal is closely related to the physics of generating and manipulating N-particles entangled states in both ion traps and high-Q cavities (cavity quantum electrodynamics). The second scheme is that of quantum computations with hot trapped ions (J.F. Poyatos, J.I. Cirac and P. Zoller; Phys. Rev. Lett. 81, 1322, 1998) which works at finite temperature and resembles physical ideas found in atom interferometry.

DOI
10.1002/1521-3978(200009)48:9/11<785::aid-prop785>3.0.co;2-v

Related papers

Quantum Gates with “Hot” Trapped Ions

J. F. Poyatos, J. I. Cirac, P. Zoller

We propose a scheme to perform a fundamental two-qubit gate between two trapped ions using ideas from atom interferometry. As opposed to the scheme considered by J. I. Cirac and P. Zoller, [Phys. Rev. Lett. 74, 4091 (1995)], it does not require laser cooling to the motional ground state.

arXiv:quant-ph/9712012•Physical Review Letters•Aug 10, 1998•110 citations

Experimental issues in coherent quantum-state manipulation of trapped atomic ions

David J. Wineland, Christopher R. Monroe, Wayne M. Itano +3 more

Methods for, and limitations to, the generation of entangled states of trapped atomic ions are examined. As much as possible, state manipulations are described in terms of quantum logic operations since the conditional dynamics implicit in quantum logic is central to the creation of entanglement. Keeping with current interest, some experimental issues in the proposal for trappedion quantum computation by J. I. Cirac and P. Zoller (University of Innsbruck) are discussed. Several possible decoherence mechanisms are examined and what may be the more important of these are identified. Some potential applications for entangled states of trapped-ions which lie outside the immediate realm of quantum computation are also discussed.

arXiv:quant-ph/9710025•Journal of Research of the National Institute of Standards and Technology•May 1, 1998•1,495 citations

Quantum computing in cavity QED with cold trapped ions by bichromatic radiation

Mang Feng

In the system with ions confined both in a linear trap and in a high-$Q$ single mode cavity, we present a simple quantum computing scheme by means of lasers and quantized cavity field, based on a previous proposal with bichromatic radiation [Phys. Rev. Lett. $82,$ 1971 (1999)]. The controlled-NOT gate operation can be performed by only three operations and it is independent of motional states of ions. Experimental feasibility for achieving our scheme is discussed.

Physical Review A•May 30, 2002•6 citations

Quantum Computation with hot and cold ions: An assessment of proposed schemes

James, D F V

We present a brief critical review of the proposals for quantum computation with trapped ions, with particular emphasis on the possibilities for quantum computation without the need for cooling to the quantum ground state of the ions' collective oscillatory modes.

•Mar 27, 2000•96 citations

Quantum Computation with Hot and Cold Ions: An Assessment of Proposed Schemes

D.F.V. James

We present a brief critical review of the proposals for quantum computation with trapped ions, with particular emphasis on the schemes for quantum computation which relax the stringent requirements for maintaining the ions in the quantum ground state of their collective oscillatory modes.

arXiv:quant-ph/0003122•Fortschritte der Physik•Sep 1, 2000•115 citations

Quantum Dynamics of Cold Trapped Ions With Application to Quantum Computation

Daniel F. V. James

. The theory of interactions between lasers and cold trapped ions as it pertains to the design of Cirac--Zoller quantum computers is discussed. The mean positions of the trapped ions, the eigenvalues and eigenmodes of the ions' oscillations, the magnitude of the Rabi frequencies for both allowed and forbidden internal transitions of the ions, and the validity criterion for the required Hamiltonian are calculated. Energy level data for a variety of ion species are also presented. PACS: 32.80.Qk; 42.50.Vk; 89.80.+h A quantum computer is a device in which data can be stored in a network of quantum mechanical two-level systems, such as spin-1/2 particles or two-level atoms. The quantum mechanical nature of such systems allows the possibility of a powerful new feature to be incorporated into data processing, namely, the capability of performing logical operations upon quantum mechanical superpositions of numbers. Thus in a conventional digital computer each data register is, throughout an...

•Feb 26, 1997•329 citations
The purpose of this article is to review two complementary schemes for quantum computation with trapped ions. We initially discuss the first proposal of quantum computations with cold trapped ions (J. I. Cirac and P. Zoller; Phys. Rev. Lett. 74, 4091, 1995) which requires, prior to any computation, laser cooling to the motional ground state. This proposal is closely related to the physics of generating and manipulating N-particles entangled states in both ion traps and high-Q cavities (cavity quantum electrodynamics). The second scheme is that of quantum computations with hot trapped ions (J.F. Poyatos, J.I. Cirac and P. Zoller; Phys. Rev. Lett. 81, 1322, 1998) which works at finite temperature and resembles physical ideas found in atom interferometry.
Methods for, and limitations to, the generation of entangled states of trapped atomic ions are examined. As much as possible, state manipulations are described in terms of quantum logic operations since the conditional dynamics implicit in quantum logic is central to the creation of entanglement. Keeping with current interest, some experimental issues in the proposal for trappedion quantum computation by J. I. Cirac and P. Zoller (University of Innsbruck) are discussed. Several possible decoherence mechanisms are examined and what may be the more important of these are identified. Some potential applications for entangled states of trapped-ions which lie outside the immediate realm of quantum computation are also discussed.
In the system with ions confined both in a linear trap and in a high-QQQ single mode cavity, we present a simple quantum computing scheme by means of lasers and quantized cavity field, based on a previous proposal with bichromatic radiation [Phys. Rev. Lett. 82,82,82, 1971 (1999)]. The controlled-NOT gate operation can be performed by only three operations and it is independent of motional states of ions. Experimental feasibility for achieving our scheme is discussed.
. The theory of interactions between lasers and cold trapped ions as it pertains to the design of Cirac--Zoller quantum computers is discussed. The mean positions of the trapped ions, the eigenvalues and eigenmodes of the ions' oscillations, the magnitude of the Rabi frequencies for both allowed and forbidden internal transitions of the ions, and the validity criterion for the required Hamiltonian are calculated. Energy level data for a variety of ion species are also presented. PACS: 32.80.Qk; 42.50.Vk; 89.80.+h A quantum computer is a device in which data can be stored in a network of quantum mechanical two-level systems, such as spin-1/2 particles or two-level atoms. The quantum mechanical nature of such systems allows the possibility of a powerful new feature to be incorporated into data processing, namely, the capability of performing logical operations upon quantum mechanical superpositions of numbers. Thus in a conventional digital computer each data register is, throughout an...