Versatile laser-free trapped-ion entangling gates
Abstract
We present a general theory for laser-free entangling gates with trapped-ion hyperfine qubits, using either static or oscillating magnetic-field gradients combined with a pair of uniform microwave fields symmetrically detuned about the qubit frequency. By transforming into a 'bichromatic' interaction picture, we show that either $${\hat{\sigma }}_{\phi }\otimes {\hat{\sigma }}_{\phi }$$ or $${\hat{\sigma }}_{z}\otimes {\hat{\sigma }}_{z}$$ geometric phase gates can be performed. The gate basis is determined by selecting the microwave detuning. The driving parameters can be tuned to provide intrinsic dynamical decoupling from qubit frequency fluctuations. The $${\hat{\sigma }}_{z}\otimes {\hat{\sigma }}_{z}$$ gates can be implemented in a novel manner which eases experimental constraints. Here, we present numerical simulations of gate fidelities assuming realistic parameters.
- Authors:
-
- Lawrence Livermore National Lab. (LLNL), Livermore, CA (United States). Physics Division, Physical and Life Sciences
- National Inst. of Standards and Technology (NIST), Boulder, CO (United States). Time and Frequency Division; Univ. of Colorado, Boulder, CO (United States). Dept. of Physics
- National Inst. of Standards and Technology (NIST), Boulder, CO (United States). Time and Frequency Division
- National Inst. of Standards and Technology (NIST), Boulder, CO (United States). Time and Frequency Division; Univ. of Colorado, Boulder, CO (United States). Dept. of Physics; Univ. of Oregon, Eugene, OR (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA)
- OSTI Identifier:
- 1513112
- Report Number(s):
- LLNL-JRNL-759200
Journal ID: ISSN 1367-2630; 946862
- Grant/Contract Number:
- AC52-07NA27344
- Resource Type:
- Accepted Manuscript
- Journal Name:
- New Journal of Physics
- Additional Journal Information:
- Journal Volume: 21; Journal Issue: 3; Journal ID: ISSN 1367-2630
- Publisher:
- IOP Publishing
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Sutherland, R. T., Srinivas, R., Burd, S. C., Leibfried, D., Wilson, A. C., Wineland, D. J., Allcock, D. T. C., Slichter, D. H., and Libby, S. B. Versatile laser-free trapped-ion entangling gates. United States: N. p., 2019.
Web. doi:10.1088/1367-2630/ab0be5.
Sutherland, R. T., Srinivas, R., Burd, S. C., Leibfried, D., Wilson, A. C., Wineland, D. J., Allcock, D. T. C., Slichter, D. H., & Libby, S. B. Versatile laser-free trapped-ion entangling gates. United States. https://doi.org/10.1088/1367-2630/ab0be5
Sutherland, R. T., Srinivas, R., Burd, S. C., Leibfried, D., Wilson, A. C., Wineland, D. J., Allcock, D. T. C., Slichter, D. H., and Libby, S. B. Thu .
"Versatile laser-free trapped-ion entangling gates". United States. https://doi.org/10.1088/1367-2630/ab0be5. https://www.osti.gov/servlets/purl/1513112.
@article{osti_1513112,
title = {Versatile laser-free trapped-ion entangling gates},
author = {Sutherland, R. T. and Srinivas, R. and Burd, S. C. and Leibfried, D. and Wilson, A. C. and Wineland, D. J. and Allcock, D. T. C. and Slichter, D. H. and Libby, S. B.},
abstractNote = {We present a general theory for laser-free entangling gates with trapped-ion hyperfine qubits, using either static or oscillating magnetic-field gradients combined with a pair of uniform microwave fields symmetrically detuned about the qubit frequency. By transforming into a 'bichromatic' interaction picture, we show that either ${\hat{\sigma }}_{\phi }\otimes {\hat{\sigma }}_{\phi }$ or ${\hat{\sigma }}_{z}\otimes {\hat{\sigma }}_{z}$ geometric phase gates can be performed. The gate basis is determined by selecting the microwave detuning. The driving parameters can be tuned to provide intrinsic dynamical decoupling from qubit frequency fluctuations. The ${\hat{\sigma }}_{z}\otimes {\hat{\sigma }}_{z}$ gates can be implemented in a novel manner which eases experimental constraints. Here, we present numerical simulations of gate fidelities assuming realistic parameters.},
doi = {10.1088/1367-2630/ab0be5},
journal = {New Journal of Physics},
number = 3,
volume = 21,
place = {United States},
year = {Thu Mar 28 00:00:00 EDT 2019},
month = {Thu Mar 28 00:00:00 EDT 2019}
}
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Cited by: 24 works
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Figures / Tables:
Figure 1: Relative strengths of the gate Rabi frequencies versus 4$Ω$$µ$/$δ$ for the first three resonances in the bichromatic interaction picture when the microwave field term ($∝ \hat{S}_{i}$) does not commute with the gradient term ($∝ \hat{S}_{j}$) in the Hamiltonian. Note that at the point where intrinsic dynamical decoupling occursmore »
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Analog quantum simulation of superradiance and subradiance in trapped ions
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Figures / Tables found in this record:
Figures/Tables have been extracted from DOE-funded journal article accepted manuscripts.