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Title: Trapped Ion Qubits

Abstract

Qubits can be encoded in clock states of trapped ions. These states are well isolated from the environment resulting in long coherence times [1] while enabling efficient high-fidelity qubit interactions mediated by the Coulomb coupled motion of the ions in the trap. Quantum states can be prepared with high fidelity and measured efficiently using fluorescence detection. State preparation and detection with 99.93% fidelity have been realized in multiple systems [1,2]. Single qubit gates have been demonstrated below rigorous fault-tolerance thresholds [1,3]. Two qubit gates have been realized with more than 99.9% fidelity [4,5]. Quantum algorithms have been demonstrated on systems of 5 to 15 qubits [6–8].

Authors:
 [1];  [1]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Publication Date:
Research Org.:
Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Sponsoring Org.:
USDOE National Nuclear Security Administration (NNSA)
OSTI Identifier:
1365489
Report Number(s):
SAND2017-3569R
652266
DOE Contract Number:
AC04-94AL85000
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICS AND COMPUTING

Citation Formats

Maunz, Peter, and Wilhelm, Lukas. Trapped Ion Qubits. United States: N. p., 2017. Web. doi:10.2172/1365489.
Maunz, Peter, & Wilhelm, Lukas. Trapped Ion Qubits. United States. doi:10.2172/1365489.
Maunz, Peter, and Wilhelm, Lukas. Sat . "Trapped Ion Qubits". United States. doi:10.2172/1365489. https://www.osti.gov/servlets/purl/1365489.
@article{osti_1365489,
title = {Trapped Ion Qubits},
author = {Maunz, Peter and Wilhelm, Lukas},
abstractNote = {Qubits can be encoded in clock states of trapped ions. These states are well isolated from the environment resulting in long coherence times [1] while enabling efficient high-fidelity qubit interactions mediated by the Coulomb coupled motion of the ions in the trap. Quantum states can be prepared with high fidelity and measured efficiently using fluorescence detection. State preparation and detection with 99.93% fidelity have been realized in multiple systems [1,2]. Single qubit gates have been demonstrated below rigorous fault-tolerance thresholds [1,3]. Two qubit gates have been realized with more than 99.9% fidelity [4,5]. Quantum algorithms have been demonstrated on systems of 5 to 15 qubits [6–8].},
doi = {10.2172/1365489},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Apr 01 00:00:00 EDT 2017},
month = {Sat Apr 01 00:00:00 EDT 2017}
}

Technical Report:

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  • Experiments have been performed in the Wisconsin Levitated Octupole with a weak toroidal magnetic field added to the octupole field. When the ions were collisionless or collisional, the diffusion scaling observed in the absolute minimum-B regions indicated convective diffusion driven by mirror-trapped electrons. When the ions were collisionless, both a dissipative trapped ion mode and a collisionless trapped ion mode were observed in the average minimum-B region. These modes were distinguished by their propagation direction in the plasma frame and were not present without the weak toroidal field or when the ions were made collisional. When these modes were present,more » the plasma transport was increased by an order of magnitude. Experiments have been performed in the General Atomic dc Octopole in the regimes in which dissipative trapped electron and trapped ion modes are expected to occur. Dissipative trapped electron modes have been observed and studied in detail. The trapped ion regime has been attained by means of rf ion heating at the lower hybrid frequency, and fluctuations that appear to be collisionless ion drift waves driven by ion Landau resonances have been observed in the private flux regions. These ion modes may provide a confinement limit on tokamaks that are operated in parameter ranges for which the dissipative trapped particle modes are unimportant.« less
  • The dispersion relations for the trapped ion and collisionless trapped particle instabilities are presented as derived from a simplified local model. The properties of the collisionless trapped particle instability are discussed. The linear growth rate for the trapped ion mode under the usual ordering in collisionality is discussed. An expression for the growth rate at lower collisionality is then derived and an approximate solution to the linear growth rate, valid for all ranges of collisionality, is obtained. The effects of temperature gradients, ion Landau damping and nonlocal approximations on the linear growth of the trapped ion mode are discussed. Finally,more » the difficulties associated with evaluating the diffusion and conduction coefficients in terms of the linear growth rates are discussed.« less