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State preparation and measurement in a quantum simulation of the O(3) sigma model

Buser, Alexander J. and Bhattacharya, Tanmoy and Cincio, Lukasz and Gupta, Rajan (2020) State preparation and measurement in a quantum simulation of the O(3) sigma model. Physical Review D, 102 (11). Art. No. 114514. ISSN 2470-0010. https://resolver.caltech.edu/CaltechAUTHORS:20201221-120012194

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Abstract

Recently, Singh and Chandrasekharan [Phys. Rev. D 100, 054505 (2019)] showed that fixed points of the nonlinear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. In a paper by the NuQS Collaboration [Phys. Rev. Lett. 123, 090501 (2019)], the proposal is made to simulate such field theories on a quantum computer using the universal properties of a similar model. In this paper, following that direction, we demonstrate how to prepare the ground state of the model from Singh and Chandrasekharan and measure a dynamical quantity of interest, the O(3) Noether charge, on a quantum computer. In particular, we apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes and use shadow tomography to measure the dynamics of local observables. We then present and analyze a quantum algorithm based on nonunitary randomized simulation methods that may yield an approach suitable for intermediate-term noisy quantum devices.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/physrevd.102.114514DOIArticle
https://arxiv.org/abs/2006.15746arXivDiscussion Paper
ORCID:
AuthorORCID
Buser, Alexander J.0000-0002-4051-3340
Bhattacharya, Tanmoy0000-0002-1060-652X
Cincio, Lukasz0000-0002-6758-4376
Gupta, Rajan0000-0003-1784-3058
Alternate Title:Quantum simulation of the qubit-regularized O(3)-sigma model
Additional Information:© 2020 American Physical Society. (Received 3 September 2020; accepted 7 December 2020; published 21 December 2020) We thank R. Somma, S. Chandrasekharan, H. Singh, and J. Preskill for helpful discussions. T. B. and R. G. were funded under Department of Energy (DOE) Office of Science High Energy Physics Contract No. 89233218CNA000001. L. C. was supported by the Laboratory Directed Research and Development program of Los Alamos National Laboratory under Project No. 20190065DR. L. C. was also supported by the U.S. Department of Energy (DOE), Office of Science, Office of Advanced Scientific Computing Research, under the Quantum Computing Application Teams program. A. J. B. also acknowledges support from the Los Alamos Quantum Computing Summer School (QCSS) and its organizers.
Group:Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Department of Energy (DOE)89233218CNA000001
Los Alamos National Laboratory20190065DR
Los Alamos Quantum Computing Summer SchoolUNSPECIFIED
Issue or Number:11
Record Number:CaltechAUTHORS:20201221-120012194
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20201221-120012194
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:107237
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:21 Dec 2020 20:28
Last Modified:21 Dec 2020 20:28

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