Qutrit Randomized Benchmarking

Ternary quantum processors offer significant potential computational advantages over conventional qubit technologies, leveraging the encoding and processing of quantum information in qutrits (three-level systems). To evaluate and compare the performance of such emerging quantum hardware it is essent...

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Main Authors: Morvan, A, Ramasesh, VV, Blok, MS, Kreikebaum, JM, O’Brien, K, Chen, L, Mitchell, BK, Naik, RK, Santiago, DI, Siddiqi, I
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:English
Published: American Physical Society (APS) 2022
Online Access:https://hdl.handle.net/1721.1/143809
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author Morvan, A
Ramasesh, VV
Blok, MS
Kreikebaum, JM
O’Brien, K
Chen, L
Mitchell, BK
Naik, RK
Santiago, DI
Siddiqi, I
author2 Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
author_facet Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Morvan, A
Ramasesh, VV
Blok, MS
Kreikebaum, JM
O’Brien, K
Chen, L
Mitchell, BK
Naik, RK
Santiago, DI
Siddiqi, I
author_sort Morvan, A
collection MIT
description Ternary quantum processors offer significant potential computational advantages over conventional qubit technologies, leveraging the encoding and processing of quantum information in qutrits (three-level systems). To evaluate and compare the performance of such emerging quantum hardware it is essential to have robust benchmarking methods suitable for a higher-dimensional Hilbert space. We demonstrate extensions of industry standard randomized benchmarking (RB) protocols, developed and used extensively for qubits, suitable for ternary quantum logic. Using a superconducting five-qutrit processor, we find an average single-qutrit process infidelity of 3.8×10^{-3}. Through interleaved RB, we characterize a few relevant gates, and employ simultaneous RB to fully characterize crosstalk errors. Finally, we apply cycle benchmarking to a two-qutrit CSUM gate and obtain a two-qutrit process fidelity of 0.85. Our results present and demonstrate RB-based tools to characterize the performance of a qutrit processor, and a general approach to diagnose control errors in future qudit hardware.
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spelling mit-1721.1/1438092023-02-14T19:39:19Z Qutrit Randomized Benchmarking Morvan, A Ramasesh, VV Blok, MS Kreikebaum, JM O’Brien, K Chen, L Mitchell, BK Naik, RK Santiago, DI Siddiqi, I Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Ternary quantum processors offer significant potential computational advantages over conventional qubit technologies, leveraging the encoding and processing of quantum information in qutrits (three-level systems). To evaluate and compare the performance of such emerging quantum hardware it is essential to have robust benchmarking methods suitable for a higher-dimensional Hilbert space. We demonstrate extensions of industry standard randomized benchmarking (RB) protocols, developed and used extensively for qubits, suitable for ternary quantum logic. Using a superconducting five-qutrit processor, we find an average single-qutrit process infidelity of 3.8×10^{-3}. Through interleaved RB, we characterize a few relevant gates, and employ simultaneous RB to fully characterize crosstalk errors. Finally, we apply cycle benchmarking to a two-qutrit CSUM gate and obtain a two-qutrit process fidelity of 0.85. Our results present and demonstrate RB-based tools to characterize the performance of a qutrit processor, and a general approach to diagnose control errors in future qudit hardware. 2022-07-18T15:37:03Z 2022-07-18T15:37:03Z 2021 2022-07-18T15:30:39Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/143809 Morvan, A, Ramasesh, VV, Blok, MS, Kreikebaum, JM, O’Brien, K et al. 2021. "Qutrit Randomized Benchmarking." Physical Review Letters, 126 (21). en 10.1103/PHYSREVLETT.126.210504 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society (APS) APS
spellingShingle Morvan, A
Ramasesh, VV
Blok, MS
Kreikebaum, JM
O’Brien, K
Chen, L
Mitchell, BK
Naik, RK
Santiago, DI
Siddiqi, I
Qutrit Randomized Benchmarking
title Qutrit Randomized Benchmarking
title_full Qutrit Randomized Benchmarking
title_fullStr Qutrit Randomized Benchmarking
title_full_unstemmed Qutrit Randomized Benchmarking
title_short Qutrit Randomized Benchmarking
title_sort qutrit randomized benchmarking
url https://hdl.handle.net/1721.1/143809
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