Bulletin of the American Physical Society
55th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Monday–Friday, June 3–7, 2024; Fort Worth, Texas
Session G06: Quantum Simulation III
10:30 AM–12:30 PM,
Wednesday, June 5, 2024
Room: 202CD
Chair: Thomas Bilitewski, Oklahoma State University
Abstract: G06.00006 : Error tomography in many-body quantum simulation
11:30 AM–11:42 AM
Presenter:
Bharath Hebbe Madhusudhana
(Los Alamos National Lab)
Authors:
Bharath Hebbe Madhusudhana
(Los Alamos National Lab)
Aditya Prakash
(National Institute of Science Education and Research)
qubit quantum control. This has been demonstrated in linear ion traps and in ultracold atoms
trapped in optical lattices and tweezer arrays. An important next step is to characterize the
accuracy of this quantum control in terms of a figure-of-merit. This problem is challenging due to
the large Hilbert space dimension and well-known techniques such as randomized
benchmarking are not effective for a specific multi-qubit gate. Here, we develop an experimental
protocol to characterize the errors in many-body Hamiltonians in trapped ultracold atom
experiments [1]
We consider two forms of errors: (i) unitary errors arising out of systematic errors in the applied
Hamiltonian and (ii) canonical non-Markovian errors arising out of random shot-to-shot
fluctuations in the applied Hamiltonian. We show that the dynamics of the expectation value of
the target Hamiltonian itself, which is ideally constant in time, can be used to characterize these
errors. In the presence of errors, the expectation value of the target Hamiltonian shows a
characteristic thermalization dynamics, when it satisfies the operator thermalization hypothesis
(OTH). That is, an oscillation in the short time followed by relaxation to a steady-state value in
the long time limit. We show that while the steady-state value can be used to characterize the
coherent errors, the amplitude of the oscillations can be used to estimate the non-Markovian
errors.
[1] Aditya Prakash and Bharath Hebbe Madhusudhana, A symmetry-based protocol to
benchmark quantum simulation of many-body physics , arXiv: 2311.03452
Follow Us |
Engage
Become an APS Member |
My APS
Renew Membership |
Information for |
About APSThe American Physical Society (APS) is a non-profit membership organization working to advance the knowledge of physics. |
© 2024 American Physical Society
| All rights reserved | Terms of Use
| Contact Us
Headquarters
1 Physics Ellipse, College Park, MD 20740-3844
(301) 209-3200
Editorial Office
100 Motor Pkwy, Suite 110, Hauppauge, NY 11788
(631) 591-4000
Office of Public Affairs
529 14th St NW, Suite 1050, Washington, D.C. 20045-2001
(202) 662-8700