Volume 125, Number 4, February 2019
|Number of page(s)||7|
|Published online||19 March 2019|
Estimating average fidelity error based on local random quantum circuits
1 State Key Laboratory of Integrated Services Networks, Xidian University - Xi'an, Shannxi, China
2 College of Electronics, Communications and Physics, Shandong University of Science and Technology Qingdao, China
Received: 6 September 2018
Accepted: 11 February 2019
This paper proposes a general method to estimate the practical average fidelity error using an ϵ-approximate unitary 2t-design. We then build a specific model of local random circuits to construct the ϵ-approximate unitary t-design under a tighter bound on the diamond norm of the corresponding error. For a twirled t-tensor product noisy channel constructed by local random circuits, we extend the estimation of average fidelity using approximate unitary 2t-designs to an -fold noise scenario. Compared to previous randomized benchmarking, the average fidelity estimated by the method of local random circuits requires less experiments but longer circuit lengths for large n quantum system.
PACS: 03.65.Wj – State reconstruction, quantum tomography / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps / 03.67.-a – Quantum information
© EPLA, 2019
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