- Open Access
Reshaping quantum device noise via repetition code circuits
Phys. Rev. Research 7, 033262 – Published 17 September, 2025
DOI: https://doi.org/10.1103/16gx-m7kg
Abstract
Noise of a quantum processor can be an important resource for simulating open quantum dynamics. However, this requires characterizing the device noise and then transforming it into a target structure. Here, we take the first step toward this goal: We analytically and numerically study reshaping the noise associated with native trapped-ion two-qubit entangling gates via quantum circuits based on repetition codes, and demonstrate our findings on the IonQ Aria-1 quantum hardware. We investigate all the building blocks, including the quantum channels describing noisy two-qubit entangling gates, the compilation of the encoding circuits into native gates, and the propagation of two-qubit errors across ideal single-qubit gates.
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References (38)
- A. Montanaro, Quantum algorithms: An overview, npj Quantum Inf. 2, 15023 (2016).
- J. Preskill, Quantum computing in the NISQ era and beyond, Quantum 2, 79 (2018).
- A. K. Fedorov, N. Gisin, S. M. Beloussov, and A. I. Lvovsky, Quantum computing at the quantum advantage threshold: A down-to-business review, arXiv:2203.17181.
- P. W. Shor, Scheme for reducing decoherence in quantum computer memory, Phys. Rev. A 52, R2493 (1995).
- A. R. Calderbank and P. W. Shor, Good quantum error-correcting codes exist, Phys. Rev. A 54, 1098 (1996).
- A. Steane, Multiple-particle interference and quantum error correction, Proc. R. Soc. London Ser. A 452, 2551 (1996).
- R. Raussendorf, Key ideas in quantum error correction, Philos. Trans. R. Soc. A 370, 4541 (2012).
- E. T. Campbell, B. M. Terhal, and C. Vuillot, Roads towards fault-tolerant universal quantum computation, Nature (London) 549, 172 (2017).
- S. M. Girvin, Introduction to quantum error correction and fault tolerance, SciPost Phys. Lect. Notes 70 (2023).
- I. Georgescu, 25 years of quantum error correction, Nat. Rev. Phys. 2, 519 (2020).
- J. J. Wallman and J. Emerson, Noise tailoring for scalable quantum computation via randomized compiling, Phys. Rev. A 94, 052325 (2016).
- Y. Ma, M. Hanks, and M. S. Kim, Non-Pauli errors can be efficiently sampled in qudit surface codes, Phys. Rev. Lett. 131, 200602 (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).
- P. W. Shor, Fault-tolerant quantum computation, in Proceedings of 37th Conference on Foundations of Computer Science (IEEE, Burlington, VT, USA, 1996), pp. 56–65.
- C. J. Trout, M. Li, M. Gutiérrez, Y. Wu, S.-T. Wang, L. Duan, and K. R. Brown, Simulating the performance of a distance-3 surface code in a linear ion trap, New J. Phys. 20, 043038 (2018).
- D. M. Debroy, M. Li, S. Huang, and K. R. Brown, Logical performance of 9 qubit compass codes in ion traps with crosstalk errors, Quantum Sci. Technol. 5, 034002 (2020).
- Z. Cai, R. Babbush, S. C. Benjamin, S. Endo, W. J. Huggins, Y. Li, J. R. McClean, and T. E. O'Brien, Quantum error mitigation, Rev. Mod. Phys. 95, 045005 (2023).
- J. D. Guimarães, J. Lim, M. I. Vasilevskiy, S. F. Huelga, and M. B. Plenio, Noise-assisted digital quantum simulation of open systems using partial probabilistic error cancellation, PRX Quantum 4, 040329 (2023).
- Y. Ma and M. S. Kim, Limitations of probabilistic error cancellation for open dynamics beyond sampling overhead, Phys. Rev. A 109, 012431 (2024).
- J. Leppäkangas, N. Vogt, K. R. Fratus, K. Bark, J. A. Vaitkus, P. Stadler, J.-M. Reiner, S. Zanker, and M. Marthaler, Quantum algorithm for solving open-system dynamics on quantum computers using noise, Phys. Rev. A 108, 062424 (2023).
- C. Bertrand, P. Besserve, M. Ferrero, and T. Ayral, Turning qubit noise into a blessing: Automatic state preparation and long-time dynamics for impurity models on quantum computers, Phys. Rev. B 111, 245159 (2025).
- A. Sørensen and K. Mølmer, Entanglement and quantum computation with ions in thermal motion, Phys. Rev. A 62, 022311 (2000).
- K. Mølmer and A. Sørensen, Multiparticle entanglement of hot trapped ions, Phys. Rev. Lett. 82, 1835 (1999).
- Y. Ma, M. C. Pace, and M. S. Kim, Unifying the Sørensen-Mølmer gate and the Milburn gate with an optomechanical example, Phys. Rev. A 106, 012605 (2022).
- Y. Wang, S. Crain, C. Fang, B. Zhang, S. Huang, Q. Liang, P. H. Leung, K. R. Brown, and J. Kim, High-fidelity two-qubit gates using a microelectromechanical-system-based beam steering system for individual qubit addressing, Phys. Rev. Lett. 125, 150505 (2020).
- C. Fang, Y. Wang, S. Huang, K. R. Brown, and J. Kim, Crosstalk suppression in individually addressed two-qubit gates in a trapped-ion quantum computer, Phys. Rev. Lett. 129, 240504 (2022).
- M. Kang, Y. Wang, C. Fang, B. Zhang, O. Khosravani, J. Kim, and K. R. Brown, Designing filter functions of frequency-modulated pulses for high-fidelity two-qubit gates in ion chains, Phys. Rev. Appl. 19, 014014 (2023).
- T. Lubinski, S. Johri, P. Varosy, J. Coleman, L. Zhao, J. Necaise, C. H. Baldwin, K. Mayer, and T. Proctor, Application-oriented performance benchmarks for quantum computing, IEEE Trans. Quantum Eng. 4, 1 (2023).
- K. Sun, M. Kang, H. Nuomin, G. Schwartz, D. N. Beratan, K. R. Brown, and J. Kim, Quantum simulation of spin-boson models with structured bath, Nat. Commun. 16, 4042 (2025).
- D. Maslov, Basic circuit compilation techniques for an ion-trap quantum machine, New J. Phys. 19, 023035 (2017).
- Getting started with native gates, https://ionq.com/docs/getting-started-with-native-gates, accessed 21 May 2024.
- C. Monroe, W. C. Campbell, L.-M. Duan, Z.-X. Gong, A. V. Gorshkov, P. W. Hess, R. Islam, K. Kim, N. M. Linke, G. Pagano et al., Programmable quantum simulations of spin systems with trapped ions, Rev. Mod. Phys. 93, 025001 (2021).
- M. Foss-Feig, G. Pagano, A. C. Potter, and N. Y. Yao, Progress in trapped-ion quantum simulation, Annu. Rev. Condens. Matter Phys. 16 (2024).
- Y. Nam, J.-S. Chen, N. C. Pisenti, K. Wright, C. Delaney, D. Maslov, K. R. Brown, S. Allen, J. M. Amini, J. Apisdorf et al., Ground-state energy estimation of the water molecule on a trapped-ion quantum computer, npj Quantum Inf. 6, 33 (2020).
- K. Wright, K. M. Beck, S. Debnath, J. Amini, Y. Nam, N. Grzesiak, J.-S. Chen, N. Pisenti, M. Chmielewski, C. Collins et al., Benchmarking an 11-qubit quantum computer, Nat. Commun. 10, 5464 (2019).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/16gx-m7kg for the technical details of using the IonQ Aria-1 quantum device, and the reshaping of noise with the three-qubit bit-flip repetition code on a superconducting qubit quantum device, the IQM Garnet.
- braket.circuits.gate module, https://amazon-braket-sdk-python.readthedocs.io/en/latest/_apidoc/braket.circuits.html, accessed 21 May 2024.
- E. B. Wilson, Probable inference, the law of succession, and statistical inference, J. Am. Stat. Assoc. 22, 209 (1927).