Testing the accuracy of qubit rotations on a public quantum computer

We analyze the results of the test of π/2 qubit rotations on a public quantum computer provided by IBM. We measure a single qubit rotated by π/2 about a random axis, and we accumulate vast statistics of the results. The test performed on different devices shows systematic deviations from the theoret...

Full description

Bibliographic Details
Main Authors: Tomasz Białecki, Tomasz Rybotycki, Jakub Tworzydło, Adam Bednorz
Format: Article
Language:English
Published: Frontiers Media S.A. 2024-03-01
Series:Frontiers in Physics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fphy.2024.1360080/full
_version_ 1797272574545100800
author Tomasz Białecki
Tomasz Rybotycki
Tomasz Rybotycki
Jakub Tworzydło
Adam Bednorz
author_facet Tomasz Białecki
Tomasz Rybotycki
Tomasz Rybotycki
Jakub Tworzydło
Adam Bednorz
author_sort Tomasz Białecki
collection DOAJ
description We analyze the results of the test of π/2 qubit rotations on a public quantum computer provided by IBM. We measure a single qubit rotated by π/2 about a random axis, and we accumulate vast statistics of the results. The test performed on different devices shows systematic deviations from the theoretical predictions, which appear at level 10–3. Some of the differences, beyond 5 standard deviations, cannot be explained by simple corrections due to nonlinearities of pulse generations. The magnitude of the deviation is comparable with the randomized benchmarking of the gate, but we additionally observe a pronounced parametric dependence. We discuss other possible reasons for the deviations, including states beyond the single-qubit space. The deviations have a similar structure for various devices used at different times, so they can also serve as a diagnostic tool to eliminate imperfect gate implementations and a faithful description of the involved physical systems.
first_indexed 2024-03-07T14:31:19Z
format Article
id doaj.art-b1d944670c3c4d4a9827cd359156e427
institution Directory Open Access Journal
issn 2296-424X
language English
last_indexed 2024-03-07T14:31:19Z
publishDate 2024-03-01
publisher Frontiers Media S.A.
record_format Article
series Frontiers in Physics
spelling doaj.art-b1d944670c3c4d4a9827cd359156e4272024-03-06T04:46:31ZengFrontiers Media S.A.Frontiers in Physics2296-424X2024-03-011210.3389/fphy.2024.13600801360080Testing the accuracy of qubit rotations on a public quantum computerTomasz Białecki0Tomasz Rybotycki1Tomasz Rybotycki2Jakub Tworzydło3Adam Bednorz4Faculty of Physics, University of Warsaw, Warsaw, PolandSystems Research Institute, Polish Academy of Sciences, Warsaw, PolandCenter for Theoretical Physics, Polish Academy of Sciences, Warsaw, PolandFaculty of Physics, University of Warsaw, Warsaw, PolandFaculty of Physics, University of Warsaw, Warsaw, PolandWe analyze the results of the test of π/2 qubit rotations on a public quantum computer provided by IBM. We measure a single qubit rotated by π/2 about a random axis, and we accumulate vast statistics of the results. The test performed on different devices shows systematic deviations from the theoretical predictions, which appear at level 10–3. Some of the differences, beyond 5 standard deviations, cannot be explained by simple corrections due to nonlinearities of pulse generations. The magnitude of the deviation is comparable with the randomized benchmarking of the gate, but we additionally observe a pronounced parametric dependence. We discuss other possible reasons for the deviations, including states beyond the single-qubit space. The deviations have a similar structure for various devices used at different times, so they can also serve as a diagnostic tool to eliminate imperfect gate implementations and a faithful description of the involved physical systems.https://www.frontiersin.org/articles/10.3389/fphy.2024.1360080/fullqubitquantum computerHilbert spaceBloch spherequantum gate
spellingShingle Tomasz Białecki
Tomasz Rybotycki
Tomasz Rybotycki
Jakub Tworzydło
Adam Bednorz
Testing the accuracy of qubit rotations on a public quantum computer
Frontiers in Physics
qubit
quantum computer
Hilbert space
Bloch sphere
quantum gate
title Testing the accuracy of qubit rotations on a public quantum computer
title_full Testing the accuracy of qubit rotations on a public quantum computer
title_fullStr Testing the accuracy of qubit rotations on a public quantum computer
title_full_unstemmed Testing the accuracy of qubit rotations on a public quantum computer
title_short Testing the accuracy of qubit rotations on a public quantum computer
title_sort testing the accuracy of qubit rotations on a public quantum computer
topic qubit
quantum computer
Hilbert space
Bloch sphere
quantum gate
url https://www.frontiersin.org/articles/10.3389/fphy.2024.1360080/full
work_keys_str_mv AT tomaszbiałecki testingtheaccuracyofqubitrotationsonapublicquantumcomputer
AT tomaszrybotycki testingtheaccuracyofqubitrotationsonapublicquantumcomputer
AT tomaszrybotycki testingtheaccuracyofqubitrotationsonapublicquantumcomputer
AT jakubtworzydło testingtheaccuracyofqubitrotationsonapublicquantumcomputer
AT adambednorz testingtheaccuracyofqubitrotationsonapublicquantumcomputer