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      Error mitigation extends the computational reach of a noisy quantum processor

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          Abstract

          Quantum computation, a paradigm of computing that is completely different from classical methods, benefits from theoretically proved speed-ups for certain problems and can be used to study the properties of quantum systems1. Yet, because of the inherently fragile nature of the physical computing elements (qubits), achieving quantum advantages over classical computation requires extremely low error rates for qubit operations, as well as substantial physical qubits, to realize fault tolerance via quantum error correction2,3. However, recent theoretical work4,5 has shown that the accuracy of computation (based on expectation values of quantum observables) can be enhanced through an extrapolation of results from a collection of experiments of varying noise. Here we demonstrate this error mitigation protocol on a superconducting quantum processor, enhancing its computational capability, with no additional hardware modifications. We apply the protocol to mitigate errors in canonical single- and two-qubit experiments and then extend its application to the variational optimization6-8 of Hamiltonians for quantum chemistry and magnetism9. We effectively demonstrate that the suppression of incoherent errors helps to achieve an otherwise inaccessible level of accuracy in the variational solutions using our noisy processor. These results demonstrate that error mitigation techniques will enable substantial improvements in the capabilities of near-term quantum computing hardware.

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          Most cited references21

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          Scheme for reducing decoherence in quantum computer memory.

          Shor (1995)
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            Error Correcting Codes in Quantum Theory.

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              Error Mitigation for Short-Depth Quantum Circuits

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                Author and article information

                Journal
                Nature
                Nature
                Springer Nature
                0028-0836
                1476-4687
                March 2019
                March 27 2019
                March 2019
                : 567
                : 7749
                : 491-495
                Article
                10.1038/s41586-019-1040-7
                30918370
                72b912d0-d377-43b0-b920-8910d746becb
                © 2019

                http://www.springer.com/tdm

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