학술논문

Automated quantum error mitigation based on probabilistic error reduction
Document Type
Conference
Source
2022 IEEE/ACM Third International Workshop on Quantum Computing Software (QCS) QCS Quantum Computing Software (QCS), 2022 IEEE/ACM Third International Workshop on. :83-93 Nov, 2022
Subject
Computing and Processing
Extrapolation
Systematics
Quantum algorithm
Software algorithms
Noise reduction
Tomography
Probabilistic logic
quantum noise tomography
quantum error mitigation
noisy intermediate-scale quantum computing
probabilistic error reduction
zero noise extrapolation
Language
Abstract
Current quantum computers suffer from a level of noise that prohibits extracting useful results directly from longer computations. The figure of merit in many near-term quantum algorithms is an expectation value measured at the end of the computation, which experiences a bias in the presence of hardware noise. A systematic way to remove such bias is probabilistic error cancellation (PEC). PEC requires a full characterization of the noise and introduces a sampling overhead that increases exponentially with circuit depth, prohibiting high-depth circuits at realistic noise levels. Probabilistic error reduction (PER) is a related quantum error mitigation method that systematically reduces the sampling overhead at the cost of reintroducing bias. In combination with zero-noise extrapolation, PER can yield expectation values with an accuracy comparable to PEC. Noise reduction through PER is broadly applicable to near-term algorithms, and the automated implementation of PER is thus desirable for facilitating its widespread use. To this end, we present an automated quantum error mitigation software framework that includes noise tomography and application of PER to user-specified circuits. We provide a multi-platform Python package that implements a recently developed Pauli noise tomography (PNT) technique for learning a sparse Pauli noise model and exploits a Pauli noise scaling method to carry out PER. We also provide software tools that leverage a previously developed toolchain, employing PyGSTi for gate set tomography and providing a functionality to use the software Mitiq for PER and zero-noise extrapolation to obtain error-mitigated expectation values on a user-defined circuit.