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/9806091 · Physical Review Letters

Efficient Scheme for the Deterministic Maximal Entanglement of N Trapped Ions

Jörg Steinbach, Christopher C. Gerry

Published Dec 21, 1998• 27 citations
arXivHTMLPDF

Abstract

We propose a method for generating maximally entangled states of $N$ two-level trapped ions. The method is deterministic and independent of the number of ions in the trap. It involves a controlled NOT acting simultaneously on all the ions through a dispersive interaction. We explore the potential application of our scheme for high precision frequency standards.

DOI
10.1103/physrevlett.81.5528

Related papers

Generation of maximally entangled states via dispersive interactions

Alfredo Luis

We propose a simple method to generate in practice the most general two-mode states with maximum entanglement. The method is based on energy-conserving dispersive interactions that can be easily implemented in different context such as quantum optical fields, quantum motion of trapped ions, or in Bose-Einstein condensates.

Physical Review A•Jan 31, 2002•11 citations

Deterministic Bell states and measurement of the motional state of two trapped ions

E. Solano, R. L. de Matos Filho, Nicim Zagury

We present a method for the deterministic generation of all the electronic Bell states of two trapped ions. It involves the combination of a purely dispersive with a resonant laser excitation of vibronic transitions of the ions. In contrast to other methods presented up to now, our proposal does not require differential laser addressing of the individual ions and may be easily implemented with present available techniques. It is further shown that this excitation scheme is highly adequate for the complete determination of the motional state of the ions.

Physical Review A•Apr 1, 1999•213 citations

Deterministic Bell states and measurement of the motional state of two trapped ions

E. Solano, R. L. de Matos Filho, Nicim Zagury

We present a method for the deterministic generation of all the electronic Bell states of two trapped ions. It involves the combination of a purely dispersive with a resonant laser excitation of vibronic transitions of the ions. In contrast to other methods presented up to now, our proposal does not require differential laser addressing of the individual ions and may be easily implemented with present available techniques. It is further shown that this excitation scheme is highly adequate for the complete determination of the motional state of the ions.

Physical review. D/Physical review. D.•Jan 1, 1998•1 citation

Robust Entanglement for Multiple Trapped Ions in Thermal Motion

Zheng Shi-Biao

A robust scheme is proposed for producing maximally entangled states for many trapped ions in thermal motion. In the scheme the ions are simultaneously illuminated by two standing-wave laser fields. During the operation the phases of the lasers are inverted, which not only cancels the vibration-dependent parts in the evolution operator, but also suppresses direct off-resonant coupling of the internal states. Thus, our scheme allows the production of entanglement for hot trapped ions with laser fields of high intensity, which makes the entanglement speed extremely high.

Communications in Theoretical Physics•Feb 1, 2005•1 citation

Unconditional Bell-type state generation for spatially separate trapped ions

F. L. Semião, Ricardo José Missori, K. Furuya

We propose a scheme for generation of maximally entangled states involving internal electronic degrees of freedom of two distant trapped ions, each of them located in a cavity. This is achieved by using a single flying atom to distribute entanglement. For certain specific interaction times, the proposed scheme leads to the non-probabilistic generation of a perfect Bell-type state. At the end of the protocol, the flying atom completely disentangles from the rest of the system, leaving both ions in a Bell-type state. Moreover, the scheme is insensitive to the cavity field state and cavity losses. We also address the situation in which dephasing and dissipation must be taken into account for the flying atom on its way from one cavity to the other, and discuss the applicability of the resulting noisy channel for performing quantum teleportation.

arXiv:quant-ph/0608160•Journal of Physics B Atomic Molecular and Optical Physics•Apr 18, 2007•3 citations

Deterministic and Multi-Controlled Teleportation of an Arbitrary Unknown Two-Ion State in Ion-Trap System

Lin Xiu

We propose a simple scheme for deterministic and multi-controlled teleportation of an arbitrary unknown two-level two-ion state in ion-trap system. In the scheme, the special entangled W states used as quantum channels and the requisite unitary transformations may be achieved via a single resonant interaction, respectively. The required time to complete the whole procedure does not increase with the number of agents.

Communications in Theoretical Physics•Jun 1, 2010•3 citations
We propose a method for generating maximally entangled states of NNN two-level trapped ions. The method is deterministic and independent of the number of ions in the trap. It involves a controlled NOT acting simultaneously on all the ions through a dispersive interaction. We explore the potential application of our scheme for high precision frequency standards.
We present a method for the deterministic generation of all the electronic Bell states of two trapped ions. It involves the combination of a purely dispersive with a resonant laser excitation of vibronic transitions of the ions. In contrast to other methods presented up to now, our proposal does not require differential laser addressing of the individual ions and may be easily implemented with present available techniques. It is further shown that this excitation scheme is highly adequate for the complete determination of the motional state of the ions.
We present a method for the deterministic generation of all the electronic Bell states of two trapped ions. It involves the combination of a purely dispersive with a resonant laser excitation of vibronic transitions of the ions. In contrast to other methods presented up to now, our proposal does not require differential laser addressing of the individual ions and may be easily implemented with present available techniques. It is further shown that this excitation scheme is highly adequate for the complete determination of the motional state of the ions.
A robust scheme is proposed for producing maximally entangled states for many trapped ions in thermal motion. In the scheme the ions are simultaneously illuminated by two standing-wave laser fields. During the operation the phases of the lasers are inverted, which not only cancels the vibration-dependent parts in the evolution operator, but also suppresses direct off-resonant coupling of the internal states. Thus, our scheme allows the production of entanglement for hot trapped ions with laser fields of high intensity, which makes the entanglement speed extremely high.
We propose a scheme for generation of maximally entangled states involving internal electronic degrees of freedom of two distant trapped ions, each of them located in a cavity. This is achieved by using a single flying atom to distribute entanglement. For certain specific interaction times, the proposed scheme leads to the non-probabilistic generation of a perfect Bell-type state. At the end of the protocol, the flying atom completely disentangles from the rest of the system, leaving both ions in a Bell-type state. Moreover, the scheme is insensitive to the cavity field state and cavity losses. We also address the situation in which dephasing and dissipation must be taken into account for the flying atom on its way from one cavity to the other, and discuss the applicability of the resulting noisy channel for performing quantum teleportation.