Bulletin of the American Physical Society
54th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Volume 68, Number 7
Monday–Friday, June 5–9, 2023; Spokane, Washington
Session Q10: Advances in Quantum Gates
8:00 AM–10:00 AM,
Thursday, June 8, 2023
Room: 207
Chair: Nathan Lysne, National Institute of Standards and Technology
Abstract: Q10.00007 : Benchmarking multi-qubit gates in neutral atom systems*
9:12 AM–9:24 AM
Presenter:
Bharath Hebbe Madhusudhana
(Los Alamos National Lab)
Author:
Bharath Hebbe Madhusudhana
(Los Alamos National Lab)
Here, we develop a set of benchmarking techniques for multi-qubit gates that are effective against locally generated errors, i.e., errors that are generated by short-range coupling terms or by locally occurring losses/decay processes. We consider the reduced Choi matrix of the multi-qubit gate that represents the restricted process as seen by a subsystem consisting of one or two qubits. The reduced Choi matrix of unitary multi-qubit gates has several properties that are violated if the gate becomes non-unitary due to errors. For instance, it is doubly stochastic, i.e., both of its partial traces are equal to the identity matrix. This condition is violated if the system is coupled to a thermal bath. We show that such properties can be used to benchmark a multi-qubit gate [3].
From an experimental perspective, implementing such benchmarking techniques requires a reliable reduced process tomography. Although the number of parameters in this tomography does not scale with the system size, they are already significantly demanding on the experimental scale, in terms of the number of measurements. In order the speed up this reduced process tomography we develop experimental protocols based on ideas from quantum metrology, where we use entanglement to optimize the convergence rate of the sampling errors [2].
*EU, Marie Sklodowska-Curie grant agreement No 893181
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