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Extending the Computational Reach of a Superconducting Qutrit Processor
Quantum Physics · Submitted 25 May 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our work shows that despite the intrinsic complexity of manipulating higher-dimensional quantum systems, noise tailoring and error mitigation can significantly extend the computational reach of today's qudit processors.
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The abstract, sentence by sentence
Quantum computing with qudits is an emerging approach that exploits a larger, more-connected computational space, providing advantages for many applications, including quantum simulation and quantum error correction. Nonetheless, qudits are typically afflicted by more complex errors and suffer greater noise sensitivity which renders their scaling difficult. In this work, we introduce techniques to tailor and mitigate arbitrary Markovian noise in qudit circuits. We experimentally demonstrate these methods on a superconducting transmon qutrit processor, and benchmark their effectiveness for multipartite qutrit entanglement and random circuit sampling, obtaining up to 3x improvement in our results. To the best of our knowledge, this constitutes the first ever error mitigation experiment performed on qutrits. Our work shows that despite the intrinsic complexity of manipulating higher-dimensional quantum systems, noise tailoring and error mitigation can significantly extend the computational reach of today's qudit processors.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Quantum computing with qudits is an emerging approach that exploits a larger, more-connected computational space, providing advantages for many applications, including quantum simulation and quantum error correction. | background 1.00 | 0.04 | 0.03 | asserted 0.96 |
| s1 | Nonetheless, qudits are typically afflicted by more complex errors and suffer greater noise sensitivity which renders their scaling difficult. | background 0.92 | 0.05 | 0.03 | asserted 0.99 |
| s2 | In this work, we introduce techniques to tailor and mitigate arbitrary Markovian noise in qudit circuits. | contribution 0.94 | 0.89 | 0.07 | asserted 1.00 |
| s3 | We experimentally demonstrate these methods on a superconducting transmon qutrit processor, and benchmark their effectiveness for multipartite qutrit entanglement and random circuit sampling, obtaining up to 3x improvement in our results. | result 0.87 | 0.98 | 0.18 | asserted 1.00 |
| s4 | To the best of our knowledge, this constitutes the first ever error mitigation experiment performed on qutrits. | contribution 0.50 | 0.71 | 0.07 | asserted 0.93 |
| s5 | Our work shows that despite the intrinsic complexity of manipulating higher-dimensional quantum systems, noise tailoring and error mitigation can significantly extend the computational reach of today's qudit processors. | interpretation 1.00 | 0.88 | 0.93 | asserted 0.99 |
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The paper
Original abstract
Quantum computing with qudits is an emerging approach that exploits a larger, more-connected computational space, providing advantages for many applications, including quantum simulation and quantum error correction. Nonetheless, qudits are typically afflicted by more complex errors and suffer greater noise sensitivity which renders their scaling difficult. In this work, we introduce techniques to tailor and mitigate arbitrary Markovian noise in qudit circuits. We experimentally demonstrate these methods on a superconducting transmon qutrit processor, and benchmark their effectiveness for multipartite qutrit entanglement and random circuit sampling, obtaining up to 3x improvement in our results. To the best of our knowledge, this constitutes the first ever error mitigation experiment performed on qutrits. Our work shows that despite the intrinsic complexity of manipulating higher-dimensional quantum systems, noise tailoring and error mitigation can significantly extend the computational reach of today's qudit processors.
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How the literature uses it
8 arXiv papers cite this in 10 sentences
Papers citing it · 8 sentences without a confident label
Cites it as background 2 papers
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Currently, the most effective approach to address these errors is a method known as Randomized Compiling (RC) [ref] , also referred to as Pauli twirling.
Pseudo Twirling Mitigation of Coherent Errors in non-Clifford Gates · Introduction · 0.81
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Today, many promising systems for qudits are being explored including trapped ions [ref] , transmons [ref] , Rydberg arrays [ref] , photonic circuits [ref] , ultra-cold atomic mixture [ref] , and superconducting radio frequency (SRF) cavities [ref] .
Qudit Gate Decomposition Dependence for Lattice Gauge Theories · Introduction · 0.88
What it cites · 6 sentences without a confident label
Uses the method or tool of 1 paper
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Finally, we purify the reconstructed state measured with RC (no NOX) [ref] by numerically finding the nearest density matrix that is idempotent ($ρ^2 = ρ$) [ref] , which improved the state fidelity from 0.912 to 0.998 (see Appendix [ref]).
Leveraging Randomized Compiling for the QITE Algorithm · Multipartite Qutrit Entanglement · 0.99
Cites as background 6 papers
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While fault tolerance remains the ultimate goal, alternative efforts in qubit devices to mitigate and extrapolate expectation values beyond the noise present in the system have garnered interest lately due to the lack of an increase in hardware requirements and overall feasibility [ref] .
Learning-based quantum error mitigation · Introduction · 0.80
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While fault tolerance remains the ultimate goal, alternative efforts in qubit devices to mitigate and extrapolate expectation values beyond the noise present in the system have garnered interest lately due to the lack of an increase in hardware requirements and overall feasibility [ref] .
Error mitigation with Clifford quantum-circuit data · Introduction · 0.80
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While fault tolerance remains the ultimate goal, alternative efforts in qubit devices to mitigate and extrapolate expectation values beyond the noise present in the system have garnered interest lately due to the lack of an increase in hardware requirements and overall feasibility [ref] .
Mitiq: A software package for error mitigation on noisy quantum computers · Introduction · 0.80
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