Randomized benchmarking for qudit Clifford gates
We introduce unitary-gate randomized benchmarking (URB) for qudit gates by extending single- and multi-qubit URB to single- and multi-qudit gates. Specifically, we develop a qudit URB procedure that exploits unitary 2-designs. Furthermore, we show that our URB procedure is not simply extracted from...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2020-01-01
|
| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab8ab1 |
| _version_ | 1797750256061906944 |
|---|---|
| author | Mahnaz Jafarzadeh Ya-Dong Wu Yuval R Sanders Barry C Sanders |
| author_facet | Mahnaz Jafarzadeh Ya-Dong Wu Yuval R Sanders Barry C Sanders |
| author_sort | Mahnaz Jafarzadeh |
| collection | DOAJ |
| description | We introduce unitary-gate randomized benchmarking (URB) for qudit gates by extending single- and multi-qubit URB to single- and multi-qudit gates. Specifically, we develop a qudit URB procedure that exploits unitary 2-designs. Furthermore, we show that our URB procedure is not simply extracted from the multi-qubit case by equating qudit URB to URB of the symmetric multi-qubit subspace. Our qudit URB is elucidated by using pseudocode, which facilitates incorporating into benchmarking applications. |
| first_indexed | 2024-03-12T16:31:02Z |
| format | Article |
| id | doaj.art-fe82a05860e5464cb08827f58401463c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:31:02Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-fe82a05860e5464cb08827f58401463c2023-08-08T15:32:01ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122606301410.1088/1367-2630/ab8ab1Randomized benchmarking for qudit Clifford gatesMahnaz Jafarzadeh0https://orcid.org/0000-0002-2270-3087Ya-Dong Wu1https://orcid.org/0000-0002-9940-6128Yuval R Sanders2https://orcid.org/0000-0001-8003-0039Barry C Sanders3https://orcid.org/0000-0002-8326-8912Physics Department, Faculty of Sciences, Urmia University , Post Box 165, Urmia, Iran; Institute for Quantum Science and Technology, University of Calgary , Alberta T2N 1N4, CanadaInstitute for Quantum Science and Technology, University of Calgary , Alberta T2N 1N4, Canada; QICI Quantum Information and Computation Initiative, Department of Computer Science, The University of Hong Kong, Pok Fu Lam Road, Hong Kong Special Administrative Region of China, People’s Republic of China; Shanghai Branch, National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China , Shanghai 201315, People’s Republic of ChinaDepartment of Physics and Astronomy and ARC Centre for Excellence in Engineered Quantum Systems, Macquarie University , Sydney, New South Wales, 2109, AustraliaInstitute for Quantum Science and Technology, University of Calgary , Alberta T2N 1N4, Canada; Shanghai Branch, National Laboratory for Physical Sciences at Microscale, University of Science and Technology of China , Shanghai 201315, People’s Republic of ChinaWe introduce unitary-gate randomized benchmarking (URB) for qudit gates by extending single- and multi-qubit URB to single- and multi-qudit gates. Specifically, we develop a qudit URB procedure that exploits unitary 2-designs. Furthermore, we show that our URB procedure is not simply extracted from the multi-qubit case by equating qudit URB to URB of the symmetric multi-qubit subspace. Our qudit URB is elucidated by using pseudocode, which facilitates incorporating into benchmarking applications.https://doi.org/10.1088/1367-2630/ab8ab1randomized benchmarkingquantum noisequdit quantum information |
| spellingShingle | Mahnaz Jafarzadeh Ya-Dong Wu Yuval R Sanders Barry C Sanders Randomized benchmarking for qudit Clifford gates New Journal of Physics randomized benchmarking quantum noise qudit quantum information |
| title | Randomized benchmarking for qudit Clifford gates |
| title_full | Randomized benchmarking for qudit Clifford gates |
| title_fullStr | Randomized benchmarking for qudit Clifford gates |
| title_full_unstemmed | Randomized benchmarking for qudit Clifford gates |
| title_short | Randomized benchmarking for qudit Clifford gates |
| title_sort | randomized benchmarking for qudit clifford gates |
| topic | randomized benchmarking quantum noise qudit quantum information |
| url | https://doi.org/10.1088/1367-2630/ab8ab1 |
| work_keys_str_mv | AT mahnazjafarzadeh randomizedbenchmarkingforquditcliffordgates AT yadongwu randomizedbenchmarkingforquditcliffordgates AT yuvalrsanders randomizedbenchmarkingforquditcliffordgates AT barrycsanders randomizedbenchmarkingforquditcliffordgates |