Entangling-gate error from coherently displaced motional modes of trapped ions
Abstract
Entangling gates in trapped-ion quantum computers are most often applied to stationary ions with initial motional distributions that are thermal and close to the ground state, while those demonstrations that involve transport generally use sympathetic cooling to reinitialize the motional state prior to applying a gate. Future systems with more ions, however, will face greater nonthermal excitation due to increased amounts of ion transport and exacerbated by longer operational times and variations over the trap array. In addition, pregate sympathetic cooling may be limited due to time costs and laser access constraints. In this paper, we analyze the impact of such coherent motional excitation on entangling-gate error by performing simulations of Mølmer-Sørenson (MS) gates on a pair of trapped-ion qubits with both thermal and coherent excitation present in a shared motional mode at the start of the gate. Here, we quantify how a small amount of coherent displacement erodes gate performance in the presence of experimental noise, and we demonstrate that adjusting the relative phase between the initial coherent displacement and the displacement induced by the gate or using Walsh modulation can suppress this error. We then use experimental data from transported ions to analyze the impact of coherent displacementmore »
- Publication Date:
- Research Org.:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR)
- OSTI Identifier:
- 1871976
- Report Number(s):
- SAND2022-5306J
Journal ID: ISSN 2469-9926; 705493; TRN: US2306828
- Grant/Contract Number:
- NA0003525
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 105; Journal Issue: 5; Journal ID: ISSN 2469-9926
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Entanglement production; Quantum gates; Quantum information with trapped ions; Trapped ions; Atom & ion trapping & guiding; Rotating wave approximation
Citation Formats
Ruzic, Brandon P., Barrick, Todd A., Hunker, Jeffrey D., Law, Ryan J., McFarland, Brian K., McGuinness, Hayden J., Parazzoli, L. P., Sterk, Jonathan D., Van Der Wall, Jay W., and Stick, Daniel. Entangling-gate error from coherently displaced motional modes of trapped ions. United States: N. p., 2022.
Web. doi:10.1103/physreva.105.052409.
Ruzic, Brandon P., Barrick, Todd A., Hunker, Jeffrey D., Law, Ryan J., McFarland, Brian K., McGuinness, Hayden J., Parazzoli, L. P., Sterk, Jonathan D., Van Der Wall, Jay W., & Stick, Daniel. Entangling-gate error from coherently displaced motional modes of trapped ions. United States. https://doi.org/10.1103/physreva.105.052409
Ruzic, Brandon P., Barrick, Todd A., Hunker, Jeffrey D., Law, Ryan J., McFarland, Brian K., McGuinness, Hayden J., Parazzoli, L. P., Sterk, Jonathan D., Van Der Wall, Jay W., and Stick, Daniel. Thu .
"Entangling-gate error from coherently displaced motional modes of trapped ions". United States. https://doi.org/10.1103/physreva.105.052409. https://www.osti.gov/servlets/purl/1871976.
@article{osti_1871976,
title = {Entangling-gate error from coherently displaced motional modes of trapped ions},
author = {Ruzic, Brandon P. and Barrick, Todd A. and Hunker, Jeffrey D. and Law, Ryan J. and McFarland, Brian K. and McGuinness, Hayden J. and Parazzoli, L. P. and Sterk, Jonathan D. and Van Der Wall, Jay W. and Stick, Daniel},
abstractNote = {Entangling gates in trapped-ion quantum computers are most often applied to stationary ions with initial motional distributions that are thermal and close to the ground state, while those demonstrations that involve transport generally use sympathetic cooling to reinitialize the motional state prior to applying a gate. Future systems with more ions, however, will face greater nonthermal excitation due to increased amounts of ion transport and exacerbated by longer operational times and variations over the trap array. In addition, pregate sympathetic cooling may be limited due to time costs and laser access constraints. In this paper, we analyze the impact of such coherent motional excitation on entangling-gate error by performing simulations of Mølmer-Sørenson (MS) gates on a pair of trapped-ion qubits with both thermal and coherent excitation present in a shared motional mode at the start of the gate. Here, we quantify how a small amount of coherent displacement erodes gate performance in the presence of experimental noise, and we demonstrate that adjusting the relative phase between the initial coherent displacement and the displacement induced by the gate or using Walsh modulation can suppress this error. We then use experimental data from transported ions to analyze the impact of coherent displacement on MS-gate error under realistic conditions.},
doi = {10.1103/physreva.105.052409},
journal = {Physical Review A},
number = 5,
volume = 105,
place = {United States},
year = {Thu May 05 00:00:00 EDT 2022},
month = {Thu May 05 00:00:00 EDT 2022}
}
Free Publicly Available Full Text
Publisher's Version of Record
Other availability
Search WorldCat to find libraries that may hold this journal
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
A simple formula for the average gate fidelity of a quantum dynamical operation
journal, October 2002
- Nielsen, Michael A.
- Physics Letters A, Vol. 303, Issue 4
Coherence in logical quantum channels
journal, July 2020
- Iverson, Joseph K.; Preskill, John
- New Journal of Physics, Vol. 22, Issue 7
High-fidelity laser-free universal control of trapped ion qubits
journal, September 2021
- Srinivas, R.; Burd, S. C.; Knaack, H. M.
- Nature, Vol. 597, Issue 7875
Coherent Error Suppression in Multiqubit Entangling Gates
journal, July 2012
- Hayes, D.; Clark, S. M.; Debnath, S.
- Physical Review Letters, Vol. 109, Issue 2
Precision tomography of a three-qubit donor quantum processor in silicon
journal, January 2022
- Mądzik, Mateusz T.; Asaad, Serwan; Youssry, Akram
- Nature, Vol. 601, Issue 7893
Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing
journal, March 2020
- Mitra, Anupam; Martin, Michael J.; Biedermann, Grant W.
- Physical Review A, Vol. 101, Issue 3
Fault-Tolerant Parity Readout on a Shuttling-Based Trapped-Ion Quantum Computer
journal, February 2022
- Hilder, J.; Pijn, D.; Onishchenko, O.
- Physical Review X, Vol. 12, Issue 1
Experimental Determination of the Motional Quantum State of a Trapped Atom
journal, November 1996
- Leibfried, D.; Meekhof, D. M.; King, B. E.
- Physical Review Letters, Vol. 77, Issue 21
Characterization of Errors in Interferometry with Entangled Atoms
journal, September 2020
- Brif, Constantin; Ruzic, Brandon P.; Biedermann, Grant W.
- PRX Quantum, Vol. 1, Issue 1
High-Fidelity Trapped-Ion Quantum Logic Using Near-Field Microwaves
journal, September 2016
- Harty, T. P.; Sepiol, M. A.; Allcock, D. T. C.
- Physical Review Letters, Vol. 117, Issue 14
Architecture for a large-scale ion-trap quantum computer
journal, June 2002
- Kielpinski, D.; Monroe, C.; Wineland, D. J.
- Nature, Vol. 417, Issue 6890
Near-ground-state transport of trapped-ion qubits through a multidimensional array
journal, September 2011
- Blakestad, R. B.; Ospelkaus, C.; VanDevender, A. P.
- Physical Review A, Vol. 84, Issue 3
Displaced Fock states and their connection to quasiprobabilities
journal, December 1991
- Wunsche, A.
- Quantum Optics: Journal of the European Optical Society Part B, Vol. 3, Issue 6
Sympathetic Electromagnetically-Induced-Transparency Laser Cooling of Motional Modes in an Ion Chain
journal, April 2013
- Lin, Y.; Gaebler, J. P.; Tan, T. R.
- Physical Review Letters, Vol. 110, Issue 15
Controlling Fast Transport of Cold Trapped Ions
journal, August 2012
- Walther, A.; Ziesel, F.; Ruster, T.
- Physical Review Letters, Vol. 109, Issue 8
Coherent Diabatic Ion Transport and Separation in a Multizone Trap Array
journal, August 2012
- Bowler, R.; Gaebler, J.; Lin, Y.
- Physical Review Letters, Vol. 109, Issue 8
Heating rates and ion-motion control in a -junction surface-electrode trap
journal, June 2014
- Shu, G.; Vittorini, G.; Buikema, A.
- Physical Review A, Vol. 89, Issue 6
Demonstration of the trapped-ion quantum CCD computer architecture
journal, April 2021
- Pino, J. M.; Dreiling, J. M.; Figgatt, C.
- Nature, Vol. 592, Issue 7853
Multiparticle Entanglement of Hot Trapped Ions
journal, March 1999
- Mølmer, Klaus; Sørensen, Anders
- Physical Review Letters, Vol. 82, Issue 9
Measuring Anomalous Heating in a Planar Ion Trap with Variable Ion-Surface Separation
journal, January 2018
- Boldin, Ivan A.; Kraft, Alexander; Wunderlich, Christof
- Physical Review Letters, Vol. 120, Issue 2
Quantum gate teleportation between separated qubits in a trapped-ion processor
journal, May 2019
- Wan, Yong; Kienzler, Daniel; Erickson, Stephen D.
- Science, Vol. 364, Issue 6443
Measurement of ion motional heating rates over a range of trap frequencies and temperatures
journal, April 2015
- Bruzewicz, C. D.; Sage, J. M.; Chiaverini, J.
- Physical Review A, Vol. 91, Issue 4
Experimental preparation and measurement of quantum states of motion of a trapped atom
journal, November 1997
- Leibfried, D.; Meekhof, D. M.; Monroe, C.
- Journal of Modern Optics, Vol. 44, Issue 11-12
Entanglement and quantum computation with ions in thermal motion
journal, July 2000
- Sørensen, Anders; Mølmer, Klaus
- Physical Review A, Vol. 62, Issue 2
Quantum-enhanced sensing of a single-ion mechanical oscillator
journal, July 2019
- McCormick, Katherine C.; Keller, Jonas; Burd, Shaun C.
- Nature, Vol. 572, Issue 7767