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      Multi-exponential Error Extrapolation and Combining Error Mitigation Techniques for NISQ Applications

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          Abstract

          Noise in quantum hardware remains the biggest roadblock for the implementation of quantum computers. To fight the noise in the practical application of near-term quantum computers, instead of relying on quantum error correction which requires large qubit overhead, we turn to quantum error mitigation, in which we make use of extra measurements. Error extrapolation is an error mitigation technique that has been successfully implemented experimentally. Numerical simulation and heuristic arguments have indicated that exponential curves are effective for extrapolation in the large circuit limit with an expected circuit error count around unity. In this Article, we extend this to multi-exponential error extrapolation and provide more rigorous proof for its effectiveness under Pauli noise. This is further validated via our numerical simulations, showing orders of magnitude improvements in the estimation accuracy over single-exponential extrapolation. Moreover, we develop methods to combine error extrapolation with two other error mitigation techniques: quasi-probability and symmetry verification. As shown in our simulation, our combined method can achieve low estimation errors with a sampling cost multiple times smaller than quasi-probability while without needing to be able to adjust the hardware error rate as required in canonical error extrapolation.

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          Author and article information

          Journal
          02 July 2020
          Article
          2007.01265
          7c759287-3947-49b7-b65d-6f67a0e62c97

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

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          Custom metadata
          quant-ph

          Quantum physics & Field theory
          Quantum physics & Field theory

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