- Letter
- Open Access
Robust and fast microwave-driven quantum logic for trapped-ion qubits
Phys. Rev. A 110, L010601 – Published 8 July, 2024
DOI: https://doi.org/10.1103/PhysRevA.110.L010601
Abstract
Microwave-driven logic is a promising alternative to laser control in scaling trapped-ion based quantum processors. We implement Mølmer-Sørensen two-qubit gates on hyperfine clock qubits in a cryogenic surface trap, driven by near-field microwaves. We achieve gate durations of 154 µs [with 1.0(2)% error] and 331 µs [0.5(1)% error], which approaches the performance of typical laser-driven gates. In the 331 µs gate, we demonstrate a Walsh-modulated dynamical decoupling scheme which suppresses errors due to fluctuations in the qubit frequency as well as imperfections in the decoupling drive itself.
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References (45)
- V. Meyer, M. A. Rowe, D. Kielpinski, C. A. Sackett, W. M. Itano, C. Monroe, and D. J. Wineland, Experimental demonstration of entanglement-enhanced rotation angle estimation using trapped ions, Phys. Rev. Lett. 86, 5870 (2001).
- H. J. Kimble, The quantum internet, Nature (London) 453, 1023 (2008).
- D. P. DiVincenzo, The physical implementation of quantum computation, Fortschr. Phys. 48, 771 (2000).
- S. M. Brewer, J.-S. Chen, A. M. Hankin, E. R. Clements, C. W. Chou, D. J. Wineland, D. B. Hume, and D. R. Leibrandt, quantum-logic clock with a systematic uncertainty below , Phys. Rev. Lett. 123, 033201 (2019).
- E. Oelker, R. B. Hutson, C. J. Kennedy, L. Sonderhouse, T. Bothwell, A. Goban, D. Kedar, C. Sanner, J. M. Robinson, G. E. Marti, D. G. Matei, T. Legero, M. Giunta, R. Holzwarth, F. Riehle, U. Sterr, and J. Ye, Demonstration of stability at 1s for two independent optical clocks, Nat. Photon. 13, 714 (2019).
- S. A. Moses, C. H. Baldwin, M. S. Allman, R. Ancona, L. Ascarrunz, C. Barnes, J. Bartolotta, B. Bjork, P. Blanchard, M. Bohn, J. G. Bohnet, N. C. Brown, N. Q. Burdick, W. C. Burton, S. L. Campbell, J. P. Campora, C. Carron, J. Chambers, J. W. Chan, Y. H. Chen et al., A race-track trapped-ion quantum processor, Phys. Rev. X 13, 041052 (2023).
- D. P. Nadlinger, P. Drmota, B. C. Nichol, G. Araneda, D. Main, R. Srinivas, D. M. Lucas, C. J. Ballance, K. Ivanov, E. Y.-Z. Tan, P. Sekatski, R. L. Urbanke, R. Renner, N. Sangouard, and J.-D. Bancal, Experimental quantum key distribution certified by Bell's theorem, Nature (London) 607, 682 (2022).
- C. J. Ballance, T. P. Harty, N. M. Linke, M. A. Sepiol, and D. M. Lucas, High-fidelity quantum logic gates using trapped-ion hyperfine qubits, Phys. Rev. Lett. 117, 060504 (2016).
- J. P. Gaebler, T. R. Tan, Y. Lin, Y. Wan, R. Bowler, A. C. Keith, S. Glancy, K. Coakley, E. Knill, D. Leibfried, and D. J. Wineland, High-fidelity universal gate set for ion qubits, Phys. Rev. Lett. 117, 060505 (2016).
- V. M. Schäfer, C. J. Ballance, K. Thirumalai, L. J. Stephenson, T. G. Ballance, A. M. Steane, and D. M. Lucas, Fast quantum logic gates with trapped-ion qubits, Nature (London) 555, 75 (2018).
- C. R. Clark, H. N. Tinkey, B. C. Sawyer, A. M. Meier, K. A. Burkhardt, C. M. Seck, C. M. Shappert, N. D. Guise, C. E. Volin, S. D. Fallek, H. T. Hayden, W. G. Rellergert, and K. R. Brown, High-fidelity Bell-state preparation with optical qubits, Phys. Rev. Lett. 127, 130505 (2021).
- F. Mintert and C. Wunderlich, Ion-trap quantum logic using long-wavelength radiation, Phys. Rev. Lett. 87, 257904 (2001).
- A. Khromova, C. Piltz, B. Scharfenberger, T. F. Gloger, M. Johanning, A. F. Varón, and C. Wunderlich, Designer spin pseudomolecule implemented with trapped ions in a magnetic gradient, Phys. Rev. Lett. 108, 220502 (2012).
- R. T. Sutherland, R. Srinivas, S. C. Burd, D. Leibfried, A. C. Wilson, D. J. Wineland, D. T. C. Allcock, D. H. Slichter, and S. B. Libby, Versatile laser-free trapped-ion entangling gates, New J. Phys. 21, 033033 (2019).
- R. Srinivas, S. C. Burd, R. T. Sutherland, A. C. Wilson, D. J. Wineland, D. Leibfried, D. T. C. Allcock, and D. H. Slichter, Trapped-ion spin-motion coupling with microwaves and a near-motional oscillating magnetic field gradient, Phys. Rev. Lett. 122, 163201 (2019).
- C. Ospelkaus, C. E. Langer, J. M. Amini, K. R. Brown, D. Leibfried, and D. J. Wineland, Trapped-ion quantum logic gates based on oscillating magnetic fields, Phys. Rev. Lett. 101, 090502 (2008).
- C. Ospelkaus, U. Warring, Y. Colombe, K. R. Brown, J. M. Amini, D. Leibfried, and D. J. Wineland, Microwave quantum logic gates for trapped ions, Nature (London) 476, 181 (2011).
- T. P. Harty, D. T. C. Allcock, C. J. Ballance, L. Guidoni, H. A. Janacek, N. M. Linke, D. N. Stacey, and D. M. Lucas, High-fidelity preparation, gates, memory, and readout of a trapped-ion quantum bit, Phys. Rev. Lett. 113, 220501 (2014).
- A. D. Leu, M. F. Gely, M. A. Weber, M. C. Smith, D. P. Nadlinger, and D. M. Lucas, Fast, high-fidelity addressed single-qubit gates using efficient composite pulse sequences, Phys. Rev. Lett. 131, 120601 (2023).
- I. D. Moore, W. C. Campbell, E. R. Hudson, M. J. Boguslawski, D. J. Wineland, and D. T. C. Allcock, Photon scattering errors during stimulated Raman transitions in trapped-ion qubits, Phys. Rev. A 107, 032413 (2023).
- A. G. Fowler, M. Mariantoni, J. M. Martinis, and A. N. Cleland, Surface codes: Towards practical large-scale quantum computation, Phys. Rev. A 86, 032324 (2012).
- T. P. Harty, M. A. Sepiol, D. T. C. Allcock, C. J. Ballance, J. E. Tarlton, and D. M. Lucas, High-fidelity trapped-ion quantum logic using near-field microwaves, Phys. Rev. Lett. 117, 140501 (2016).
- R. Srinivas, S. C. Burd, H. M. Knaack, R. T. Sutherland, A. Kwiatkowski, S. Glancy, E. Knill, D. J. Wineland, D. Leibfried, A. C. Wilson, D. T. C. Allcock, and D. H. Slichter, High-fidelity laser-free universal control of trapped ion qubits, Nature (London) 597, 209 (2021).
- S. C. Burd, R. Srinivas, H. M. Knaack, W. Ge, A. C. Wilson, D. J. Wineland, D. Leibfried, J. J. Bollinger, D. T. Allcock, and D. H. Slichter, Quantum amplification of boson-mediated interactions, Nat. Phys. 17, 898 (2021).
- H. Ball and M. J. Biercuk, Walsh-synthesized noise filters for quantum logic, EPJ Quantum Technology 2, 11 (2015).
- S. Weidt, J. Randall, S. C. Webster, K. Lake, A. E. Webb, I. Cohen, T. Navickas, B. Lekitsch, A. Retzker, and W. K. Hensinger, Trapped-ion quantum logic with global radiation fields, Phys. Rev. Lett. 117, 220501 (2016).
- H. Hahn, G. Zarantonello, M. Schulte, A. Bautista-Salvador, K. Hammerer, and C. Ospelkaus, Integrated multi-qubit gate device for the ion-trap quantum computer, npj Quantum Inf. 5, 70 (2019).
- G. Zarantonello, H. Hahn, J. Morgner, M. Schulte, A. Bautista-Salvador, R. F. Werner, K. Hammerer, and C. Ospelkaus, Robust and resource-efficient microwave near-field entangling Gate, Phys. Rev. Lett. 123, 260503 (2019).
- M. Duwe, G. Zarantonello, N. Pulido-Mateo, H. Mendpara, L. Krinner, A. Bautista-Salvador, N. V. Vitanov, K. Hammerer, R. F. Werner, and C. Ospelkaus, Numerical optimization of amplitude-modulated pulses in microwave-driven entanglement generation, Quantum Sci. Technol. 7, 045005 (2022).
- M. A. Weber, C. Löschnauer, J. Wolf, M. F. Gely, R. K. Hanley, J. F. Goodwin, C. J. Ballance, T. P. Harty, and D. M. Lucas, Cryogenic ion trap system for high-fidelity near-field microwave-driven quantum logic, Quantum Sci. Technol. 9, 015007 (2024).
- M. A. Weber, High-fidelity, near-field microwave gates in a cryogenic surface trap, D.Phil. thesis, University of Oxford, 2022.
- R. T. Sutherland, Q. Yu, K. M. Beck, and H. Häffner, One- and two-qubit gate infidelities due to motional errors in trapped ions and electrons, Phys. Rev. A 105, 022437 (2022).
- K. Mølmer and A. Sørensen, Multiparticle entanglement of hot trapped ions, Phys. Rev. Lett. 82, 1835 (1999).
- D. F. V. James, Quantum dynamics of cold trapped ions with application to quantum computation, Appl. Phys. B 66, 181 (1998).
- We neglect in Eq. (1) the small angle between the field gradient and the motional mode axis.
- A. Bermudez, P. O. Schmidt, M. B. Plenio, and A. Retzker, Robust trapped-ion quantum logic gates by continuous dynamical decoupling, Phys. Rev. A 85, 040302 (2012).
- D. Leibfried, B. DeMarco, V. Meyer, D. Lucas, M. Barrett, J. Britton, W. M. Itano, B. Jelenković, C. Langer, T. Rosenband, and D. J. Wineland, Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate, Nature (London) 422, 412 (2003).
- X. R. Nie, C. F. Roos, and D. F. James, Theory of cross phase modulation for the vibrational modes of trapped ions, Phys. Lett. A 373, 422 (2009).
- J. P. Gaebler, A. M. Meier, T. R. Tan, R. Bowler, Y. Lin, D. Hanneke, J. D. Jost, J. P. Home, E. Knill, D. Leibfried, and D. J. Wineland, Randomized benchmarking of multiqubit gates, Phys. Rev. Lett. 108, 260503 (2012).
- L. Gerster, F. Martínez-García, P. Hrmo, M. W. van Mourik, B. Wilhelm, D. Vodola, M. Müller, R. Blatt, P. Schindler, and T. Monz, Experimental Bayesian calibration of trapped-ion entangling operations, PRX Quantum 3, 020350 (2022).
- D. Hayes, S. M. Clark, S. Debnath, D. Hucul, I. V. Inlek, K. W. Lee, Q. Quraishi, and C. Monroe, Coherent error suppression in multiqubit entangling gates, Phys. Rev. Lett. 109, 020503 (2012).
- H. Häffner, S. Gulde, M. Riebe, G. Lancaster, C. Becher, J. Eschner, F. Schmidt-Kaler, and R. Blatt, Precision measurement and compensation of optical Stark shifts for an ion-trap quantum processor, Phys. Rev. Lett. 90, 143602 (2003).
- M. C. Smith, A. D. Leu, M. F. Gely, and D. M. Lucas, Focusing of quantum gate interactions using dynamical decoupling, arXiv:2309.02125.
- M. Nünnerich, D. Cohen, P. Barthel, P. H. Huber, D. Niroomand, A. Retzker, and C. Wunderlich, Fast, robust and laser-free universal entangling gates for trapped-ion quantum computing, arXiv:2403.04730.
- C. M. Löschnauer et al., reported at DAMOP meeting (June 2024).