Probabilistic error cancellation with sparse Pauli–Lindblad models on noisy quantum processors

By Ewout van den Berg, Z. Minev, Abhinav Kandala, Kristan Temme. Nature Physics, 2022

431 citations recorded by the source corpus.

Noise in quantum computers can result in biased estimates of physical observables. Accurate bias-free estimates can be obtained using probabilistic error cancellation, an error-mitigation technique that effectively inverts well-characterized noise channels. Learning correlated noise channels in large quantum circuits, however, has been a major challenge and has severely hampered experimental realizations. Our work presents a practical protocol for learning and inverting a sparse noise model that is able to capture correlated noise and scales to large quantum devices. These advances allow us to demonstrate probabilistic error cancellation on a superconducting quantum processor, thereby providing a way to measure noise-free observables at larger circuit volumes. Probabilistic error cancellation could improve the performance of quantum computers without the prohibitive overhead of fault-tolerant error correction. The method has now been demonstrated on a device with 20 qubits.

Subfields: Artificial Intelligence, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/d9151aa03c800882e647d1d91bcef77d68976b43

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Citations in the corpus

Quantum error mitigation (2022, methodology): “A recent experimental implementation of the probabilistic error cancellation method used a correlated Pauli-noise model that is supported over the full gate layer on the device (van den Berg et al. , 2023).”
The future of quantum computing with superconducting qubits (2022, methodology): “The unknown error rates λ i can be learned to within several digits of precision by repeating the chosen layer of gates many times and measuring the decay of suitable observables 76 .”
Evidence for the utility of quantum computing before fault tolerance (2023, neutral): “∑ ∑ H J Z Z h X = − + , (1) i j i j i i ,”
The randomized measurement toolbox (2022, methodology): “This allows the authors 110 to perform probabilistic error cancellation on a superconducting quantum device despite the presence of crosstalk errors.”
Quantum computing with Qiskit (2024, methodology): “In addition, many quantum algorithms as well as error mitigation protocols require a large number of circuit executions [74, 93].”