Decision Diagrams for Quantum Measurements with Shallow Circuits

Stefan Hillmich, Charles Hadfield, Rudy Raymond, Antonio Mezzacapo, Robert Wille

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

19 Scopus citations

Abstract

We consider the problem of estimating quantum observables on a collection of qubits, given as a linear combination of Pauli operators, with shallow quantum circuits consisting of single-qubit rotations. We introduce estimators based on randomised measurements, which use decision diagrams to sample from probability distributions on measurement bases. This approach generalises previously known uniform and locally-biased randomised estimators. The decision diagrams are constructed given target quantum operators and can be optimised considering different strategies. We show numerically that the estimators introduced here can produce more precise estimates on some quantum chemistry Hamiltonians, compared to previously known randomised protocols and Pauli grouping methods.

Original languageEnglish
Title of host publicationProceedings - 2021 IEEE International Conference on Quantum Computing and Engineering, QCE 2021
EditorsHausi A. Muller, Greg Byrd, Candace Culhane, Travis Humble
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages24-34
Number of pages11
ISBN (Electronic)9781665416917
DOIs
StatePublished - 2021
Externally publishedYes
Event2nd IEEE International Conference on Quantum Computing and Engineering, QCE 2021 - Virtual, Online, United States
Duration: 17 Oct 202122 Oct 2021

Publication series

NameProceedings - 2021 IEEE International Conference on Quantum Computing and Engineering, QCE 2021

Conference

Conference2nd IEEE International Conference on Quantum Computing and Engineering, QCE 2021
Country/TerritoryUnited States
CityVirtual, Online
Period17/10/2122/10/21

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