Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing
Abstract
The Rydberg blockade mechanism is now routinely considered for entangling qubits encoded in clock states of neutral atoms. Challenges towards implementing entangling gates with high fidelity include errors due to thermal motion of atoms, laser amplitude inhomogeneities, and imperfect Rydberg blockade. Here, we show that adiabatic rapid passage by Rydberg dressing provides a mechanism for implementing two-qubit entangling gates by accumulating phases that are robust to these imperfections. We find that the typical error in implementing a two-qubit gate, such as the controlled phase gate, is dominated by errors in the single-atom light shift, and that this can be easily corrected using adiabatic dressing interleaved with a simple spin echo sequence. This results in a two-qubit Mølmer-Sørensen gate. A gate fidelity ~ 0.995 is achievable with modest experimental parameters and a path to higher fidelities is possible for Rydberg states in atoms with a stronger blockade, longer lifetimes, and larger Rabi frequencies.
- Authors:
-
[2];
[1]
- Univ. of New Mexico, Albuquerque, NM (United States)
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Univ. of New Mexico, Albuquerque, NM (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Univ. of Oklahoma, Norman, OK (United States)
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States); Univ. of Oklahoma, Norman, OK (United States)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States); Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; National Science Foundation (NSF)
- OSTI Identifier:
- 1699458
- Alternate Identifier(s):
- OSTI ID: 1605628; OSTI ID: 1769917
- Report Number(s):
- LA-UR-19-31221; SAND-2021-2104J
Journal ID: ISSN 2469-9926; TRN: US2204531
- Grant/Contract Number:
- 89233218CNA000001; NA0003525; 20190494ER; 20200015ER; PHY-1606989; PHY-1630114; AC04-94AL85000
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review A
- Additional Journal Information:
- Journal Volume: 101; Journal Issue: 3; 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; quantum gates
Citation Formats
Mitra, Anupam, Martin, Michael J., Biedermann, Grant W., Marino, Alberto M., Poggi, Pablo M., and Deutsch, Ivan H. Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing. United States: N. p., 2020.
Web. doi:10.1103/physreva.101.030301.
Mitra, Anupam, Martin, Michael J., Biedermann, Grant W., Marino, Alberto M., Poggi, Pablo M., & Deutsch, Ivan H. Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing. United States. https://doi.org/10.1103/physreva.101.030301
Mitra, Anupam, Martin, Michael J., Biedermann, Grant W., Marino, Alberto M., Poggi, Pablo M., and Deutsch, Ivan H. Fri .
"Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing". United States. https://doi.org/10.1103/physreva.101.030301. https://www.osti.gov/servlets/purl/1699458.
@article{osti_1699458,
title = {Robust Mølmer-Sørensen gate for neutral atoms using rapid adiabatic Rydberg dressing},
author = {Mitra, Anupam and Martin, Michael J. and Biedermann, Grant W. and Marino, Alberto M. and Poggi, Pablo M. and Deutsch, Ivan H.},
abstractNote = {The Rydberg blockade mechanism is now routinely considered for entangling qubits encoded in clock states of neutral atoms. Challenges towards implementing entangling gates with high fidelity include errors due to thermal motion of atoms, laser amplitude inhomogeneities, and imperfect Rydberg blockade. Here, we show that adiabatic rapid passage by Rydberg dressing provides a mechanism for implementing two-qubit entangling gates by accumulating phases that are robust to these imperfections. We find that the typical error in implementing a two-qubit gate, such as the controlled phase gate, is dominated by errors in the single-atom light shift, and that this can be easily corrected using adiabatic dressing interleaved with a simple spin echo sequence. This results in a two-qubit Mølmer-Sørensen gate. A gate fidelity ~ 0.995 is achievable with modest experimental parameters and a path to higher fidelities is possible for Rydberg states in atoms with a stronger blockade, longer lifetimes, and larger Rabi frequencies.},
doi = {10.1103/physreva.101.030301},
journal = {Physical Review A},
number = 3,
volume = 101,
place = {United States},
year = {Fri Mar 20 00:00:00 EDT 2020},
month = {Fri Mar 20 00:00:00 EDT 2020}
}
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Works referenced in this record:
Entangling dipole-dipole interactions for quantum logic with neutral atoms
journal, May 2000
- Brennen, Gavin K.; Deutsch, Ivan H.; Jessen, Poul S.
- Physical Review A, Vol. 61, Issue 6
Sorting ultracold atoms in a three-dimensional optical lattice in a realization of Maxwell’s demon
journal, September 2018
- Kumar, Aishwarya; Wu, Tsung-Yao; Giraldo, Felipe
- Nature, Vol. 561, Issue 7721
Optical atomic clocks
journal, June 2015
- Ludlow, Andrew D.; Boyd, Martin M.; Ye, Jun
- Reviews of Modern Physics, Vol. 87, Issue 2
Seconds-scale coherence on an optical clock transition in a tweezer array
journal, September 2019
- Norcia, Matthew A.; Young, Aaron W.; Eckner, William J.
- Science, Vol. 366, Issue 6461
Coherent Addressing of Individual Neutral Atoms in a 3D Optical Lattice
journal, July 2015
- Wang, Yang; Zhang, Xianli; Corcovilos, Theodore A.
- Physical Review Letters, Vol. 115, Issue 4
2000-Times Repeated Imaging of Strontium Atoms in Clock-Magic Tweezer Arrays
journal, May 2019
- Covey, Jacob P.; Madjarov, Ivaylo S.; Cooper, Alexandre
- Physical Review Letters, Vol. 122, Issue 17
Single-qubit gates based on targeted phase shifts in a 3D neutral atom array
journal, June 2016
- Wang, Y.; Kumar, A.; Wu, T. -Y.
- Science, Vol. 352, Issue 6293
Demonstration of a Neutral Atom Controlled-NOT Quantum Gate
journal, January 2010
- Isenhower, L.; Urban, E.; Zhang, X. L.
- Physical Review Letters, Vol. 104, Issue 1
Entanglement of Two Individual Neutral Atoms Using Rydberg Blockade
journal, January 2010
- Wilk, T.; Gaëtan, A.; Evellin, C.
- Physical Review Letters, Vol. 104, Issue 1
Many-body interferometry of a Rydberg-dressed spin lattice
journal, August 2016
- Zeiher, Johannes; van Bijnen, Rick; Schauß, Peter
- Nature Physics, Vol. 12, Issue 12
Arbitrary Dicke-State Control of Symmetric Rydberg Ensembles
journal, November 2016
- Keating, Tyler; Baldwin, Charles H.; Jau, Yuan-Yu
- Physical Review Letters, Vol. 117, Issue 21
Quantum computing with atomic qubits and Rydberg interactions: progress and challenges
journal, October 2016
- Saffman, M.
- Journal of Physics B: Atomic, Molecular and Optical Physics, Vol. 49, Issue 20, Article No. 202001
Plasma formation from ultracold Rydberg gases
journal, July 2003
- Pohl, T.; Pattard, T.; Rost, J. M.
- Physical Review A, Vol. 68, Issue 1
Tunable two-dimensional arrays of single Rydberg atoms for realizing quantum Ising models
journal, June 2016
- Labuhn, Henning; Barredo, Daniel; Ravets, Sylvain
- Nature, Vol. 534, Issue 7609
Quantum Computation with Ions in Thermal Motion
journal, March 1999
- Sørensen, Anders; Mølmer, Klaus
- Physical Review Letters, Vol. 82, Issue 9
Strongly Correlated Gases of Rydberg-Dressed Atoms: Quantum and Classical Dynamics
journal, June 2010
- Pupillo, G.; Micheli, A.; Boninsegni, M.
- Physical Review Letters, Vol. 104, Issue 22
Atom-by-atom assembly of defect-free one-dimensional cold atom arrays
journal, November 2016
- Endres, Manuel; Bernien, Hannes; Keesling, Alexander
- Science, Vol. 354, Issue 6315
Entanglement of Atoms via Cold Controlled Collisions
journal, March 1999
- Jaksch, D.; Briegel, H. -J.; Cirac, J. I.
- Physical Review Letters, Vol. 82, Issue 9
Robust quantum logic in neutral atoms via adiabatic Rydberg dressing
journal, January 2015
- Keating, Tyler; Cook, Robert L.; Hankin, Aaron M.
- Physical Review A, Vol. 91, Issue 1
Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
journal, May 2018
- de Léséleuc, Sylvain; Barredo, Daniel; Lienhard, Vincent
- Physical Review A, Vol. 97, Issue 5
Probing many-body dynamics on a 51-atom quantum simulator
journal, November 2017
- Bernien, Hannes; Schwartz, Sylvain; Keesling, Alexander
- Nature, Vol. 551, Issue 7682
Quantum Logic Gates in Optical Lattices
journal, February 1999
- Brennen, Gavin K.; Caves, Carlton M.; Jessen, Poul S.
- Physical Review Letters, Vol. 82, Issue 5
Interactions between Rydberg-dressed atoms
journal, September 2010
- Johnson, J. E.; Rolston, S. L.
- Physical Review A, Vol. 82, Issue 3
Rydberg-Mediated Entanglement in a Two-Dimensional Neutral Atom Qubit Array
journal, December 2019
- Graham, T. M.; Kwon, M.; Grinkemeyer, B.
- Physical Review Letters, Vol. 123, Issue 23
Quantum computing with neutral atoms
journal, July 2017
- Weiss, David S.; Saffman, Mark
- Physics Today, Vol. 70, Issue 7
Rydberg-atom quantum simulation and Chern-number characterization of a topological Mott insulator
journal, November 2012
- Dauphin, A.; Müller, M.; Martin-Delgado, M. A.
- Physical Review A, Vol. 86, Issue 5
High-Fidelity Control and Entanglement of Rydberg-Atom Qubits
journal, September 2018
- Levine, Harry; Keesling, Alexander; Omran, Ahmed
- Physical Review Letters, Vol. 121, Issue 12
Quantum Gates and Multiparticle Entanglement by Rydberg Excitation Blockade and Adiabatic Passage
journal, April 2008
- Møller, Ditte; Madsen, Lars Bojer; Mølmer, Klaus
- Physical Review Letters, Vol. 100, Issue 17
Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
journal, June 2001
- Lukin, M. D.; Fleischhauer, M.; Cote, R.
- Physical Review Letters, Vol. 87, Issue 3
Accurate Mapping of Multilevel Rydberg Atoms on Interacting Spin- Particles for the Quantum Simulation of Ising Models
journal, March 2018
- de Léséleuc, Sylvain; Weber, Sebastian; Lienhard, Vincent
- Physical Review Letters, Vol. 120, Issue 11
Quantum Kibble–Zurek mechanism and critical dynamics on a programmable Rydberg simulator
journal, April 2019
- Keesling, Alexander; Omran, Ahmed; Levine, Harry
- Nature, Vol. 568, Issue 7751
Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
journal, August 2019
- Omran, A.; Levine, H.; Keesling, A.
- Science, Vol. 365, Issue 6453
Quasiclassical calculations of blackbody-radiation-induced depopulation rates and effective lifetimes of Rydberg n S , n P , and n D alkali-metal atoms with n ≤ 80
journal, May 2009
- Beterov, I. I.; Ryabtsev, I. I.; Tretyakov, D. B.
- Physical Review A, Vol. 79, Issue 5
An atom-by-atom assembler of defect-free arbitrary two-dimensional atomic arrays
journal, November 2016
- Barredo, Daniel; de Léséleuc, Sylvain; Lienhard, Vincent
- Science, Vol. 354, Issue 6315
Spin Squeezing in a Rydberg Lattice Clock
journal, March 2014
- Gil, L. I. R.; Mukherjee, R.; Bridge, E. M.
- Physical Review Letters, Vol. 112, Issue 10
Robustness of high-fidelity Rydberg gates with single-site addressability
journal, September 2014
- Goerz, Michael H.; Halperin, Eli J.; Aytac, Jon M.
- Physical Review A, Vol. 90, Issue 3
Geometric theory of nonlocal two-qubit operations
journal, April 2003
- Zhang, Jun; Vala, Jiri; Sastry, Shankar
- Physical Review A, Vol. 67, Issue 4
Multiparticle Entanglement of Hot Trapped Ions
journal, March 1999
- Mølmer, Klaus; Sørensen, Anders
- Physical Review Letters, Vol. 82, Issue 9
Synthetic three-dimensional atomic structures assembled atom by atom
journal, September 2018
- Barredo, Daniel; Lienhard, Vincent; de Léséleuc, Sylvain
- Nature, Vol. 561, Issue 7721
Adiabatic passage of radio-frequency-assisted Förster resonances in Rydberg atoms for two-qubit gates and the generation of Bell states
journal, March 2018
- Beterov, I. I.; Hamzina, G. N.; Yakshina, E. A.
- Physical Review A, Vol. 97, Issue 3
Two-qubit gates using adiabatic passage of the Stark-tuned Förster resonances in Rydberg atoms
journal, December 2016
- Beterov, I. I.; Saffman, M.; Yakshina, E. A.
- Physical Review A, Vol. 94, Issue 6
Rydberg-interaction gates via adiabatic passage and phase control of driving fields
journal, August 2017
- Wu, Huaizhi; Huang, Xi-Rong; Hu, Chang-Sheng
- Physical Review A, Vol. 96, Issue 2
Fidelity of quantum operations
journal, July 2007
- Pedersen, Line Hjortshøj; Møller, Niels Martin; Mølmer, Klaus
- Physics Letters A, Vol. 367, Issue 1-2
Entangling atomic spins with a Rydberg-dressed spin-flip blockade
journal, October 2015
- Jau, Y.-Y.; Hankin, A. M.; Keating, T.
- Nature Physics, Vol. 12, Issue 1, p. 71-74
Robust Rydberg-interaction gates with adiabatic passage
journal, March 2014
- Rao, D. D. Bhaktavatsala; Mølmer, Klaus
- Physical Review A, Vol. 89, Issue 3
Demonstration of the Jaynes-Cummings ladder with Rydberg-dressed atoms
journal, April 2017
- Lee, Jongmin; Martin, Michael J.; Jau, Yuan-Yu
- Physical Review A, Vol. 95, Issue 4
Adiabatic quantum computation with Rydberg-dressed atoms
journal, May 2013
- Keating, Tyler; Goyal, Krittika; Jau, Yuan-Yu
- Physical Review A, Vol. 87, Issue 5, Article No. 052314
Narrow-Line Cooling and Imaging of Ytterbium Atoms in an Optical Tweezer Array
journal, April 2019
- Saskin, S.; Wilson, J. T.; Grinkemeyer, B.
- Physical Review Letters, Vol. 122, Issue 14
Tunable two-dimensional arrays of single Rydberg atoms for realizing quantum Ising models
journal, June 2016
- Labuhn, Henning; Barredo, Daniel; Ravets, Sylvain
- Nature, Vol. 534, Issue 7609
Shortcut to Adiabatic Passage in Two- and Three-Level Atoms
journal, September 2010
- Chen, Xi; Lizuain, I.; Ruschhaupt, A.
- Physical Review Letters, Vol. 105, Issue 12
Robust Dynamical Decoupling of Quantum Systems with Bounded Controls
journal, January 2003
- Viola, Lorenza; Knill, Emanuel
- Physical Review Letters, Vol. 90, Issue 3
Colloquium : Coherently controlled adiabatic passage
journal, January 2007
- Král, Petr; Thanopulos, Ioannis; Shapiro, Moshe
- Reviews of Modern Physics, Vol. 79, Issue 1
Suppression of Collisional Shifts in a Strongly Interacting Lattice Clock
journal, February 2011
- Swallows, Matthew D.; Bishof, Michael; Lin, Yige
- Science, Vol. 331, Issue 6020
Analysis of imperfections in the coherent optical excitation of single atoms to Rydberg states
text, January 2018
- de Léséleuc, Sylvain; Barredo, Daniel; Lienhard, Vincent
- arXiv
2000-times repeated imaging of strontium atoms in clock-magic tweezer arrays
text, January 2018
- Covey, Jacob P.; Madjarov, Ivaylo S.; Cooper, Alexandre
- arXiv
Dynamical Decoupling of Open Quantum Systems
text, January 1998
- Viola, Lorenza; Knill, Emanuel; Lloyd, Seth
- arXiv