Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session HH03: V: Quantum Simulation and Algorithms
11:30 AM–1:18 PM,
Wednesday, March 6, 2024
Room: Virtual Room 03
Sponsoring
Unit:
DQI
Chair: Zheng Shi, University of Waterloo; Lindsay Bassman Oftelie, CNR - Pisa
Abstract: HH03.00005 : Analog variational quantum simulators with long-range interactions*
12:18 PM–12:30 PM
Presenter:
Cristian Tabares
(Institute of Fundamental Physics IFF-CSIC)
Authors:
Cristian Tabares
(Institute of Fundamental Physics IFF-CSIC)
Jan T Schneider
(Institute of Fundamental Physics IFF-CSIC)
Alberto Muñoz de las Heras
(Institute of Fundamental Physics IFF-CSIC)
Luca Tagliacozzo
(Institute of Fundamental Physics IFF-CSIC)
Diego Porras
(Consejo Superior de Investigaciones Cien)
Alejandro Gonzalez-Tudela
(Instituto de Física Fundamental-CSIC)
Variational methods have been suggested as a way to go beyond this limitation [5,6]. Among the different proposals, Variational Quantum Time Evolution algorithms (VarQTE) can perform either real or imaginary time evolution within the same framework [7]. In this work we propose to use this variational approach to fully harness the tunability of the long-range interactions in analogue quantum simulators. We demonstrate how some of the limitations of VarQTE can be solved using this tunable long-range, and benchmark this advantage against fixed range quantum simulators in both imaginary and real time evolution. Furthermore, we consider analogue quantum simulators made of qubits, bosons and fermions, using tensor network methods to highlight the role of the tunable long-range as the system size increases.
In summary, our work introduces a new set of tools that can be used to compute both ground states and dynamics of complex many-body Hamiltonians using simpler analogue quantum simulators.
[1] X. Zhang et al., Science 379, 278-283 (2023).
[2] C. Kokail et al., Nature 569, 355–360 (2019).
[3] S. Ebadi et al., Nature 595, 227–232 (2021).
[4] J. Argüello-Luengo et al., Nature 574, 215–218 (2019).
[5] A. J. Daley et al., Nature 607, 667–676 (2022).
[6] C. Tabares et al., Phys. Rev. Lett. 131, 073602 (2023).
[7] X. Yuan et al., Quantum 3, 191 (2019).
*We acknowledge support from CSIC Research Platform on Quantum Technologies PTI-001, Spanish projects PID2021- 127968NB-I00 and TED2021-130552B-C22 funded by r MCIN/AEI/10.13039/501100011033/FEDER, UE and MCIN/AEI/10.13039/501100011033, and Proyecto Sinérgicos CAM 2020 Y2020/TCS-6545 (NanoQuCo-CM).
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