Qutrit Randomized Benchmarking

Morvan, A.; Ramasesh, V.  V.; Blok, M.  S.; Kreikebaum, J.  M.; O’Brien, K.; Chen, L.; Mitchell, B.  K.; Naik, R.  K.; Santiago, D.  I.; Siddiqi, I.

doi:10.1103/physrevlett.126.210504

Title: Qutrit Randomized Benchmarking

Journal Article · Thu May 27 00:00:00 EDT 2021 · Physical Review Letters

DOI:https://doi.org/10.1103/physrevlett.126.210504· OSTI ID:1818119

^[1]; Ramasesh, V. V. ^[2]; Blok, M. S. ^[3];

^[1]; O’Brien, K. ^[4];

^[2]; Mitchell, B. K. ^[2];

^[2];

^[1]; Siddiqi, I. ^[1]

Univ. of California, Berkeley, CA (United States). Quantum Nanoelectronics Lab.; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Univ. of California, Berkeley, CA (United States). Quantum Nanoelectronics Lab.
Univ. of California, Berkeley, CA (United States). Quantum Nanoelectronics Lab.; Univ. of Rochester, NY (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

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). Therefore, 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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Research Organization:: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR); USDOE Office of Science (SC), Basic Energy Sciences (BES)

Grant/Contract Number:: AC02-05CH11231

OSTI ID:: 1818119

Journal Information:: Physical Review Letters, Vol. 126, Issue 21; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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