Reiner, J.-M., Marthaler, M., Braumüller, J., Weides, M. and Schön, G. (2016) Emulating the one-dimensional Fermi-Hubbard model by a double chain of qubits. Physical Review A: Atomic, Molecular and Optical Physics, 94(3), 032338. (doi: 10.1103/PhysRevA.94.032338)
|
Text
155821.pdf - Accepted Version 660kB |
Abstract
The Jordan-Wigner transformation maps a one-dimensional (1D) spin- 1 / 2 system onto a fermionic model without spin degree of freedom. A double chain of quantum bits with X X and Z Z couplings of neighboring qubits along and between the chains, respectively, can be mapped on a spin-full 1D Fermi-Hubbard model. The qubit system can thus be used to emulate the quantum properties of this model. We analyze physical implementations of such analog quantum simulators, including one based on transmon qubits, where the Z Z interaction arises due to an inductive coupling and the X X interaction due to a capacitive interaction. We propose protocols to gain confidence in the results of the simulation through measurements of local operators.
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Weides, Professor Martin |
Authors: | Reiner, J.-M., Marthaler, M., Braumüller, J., Weides, M., and Schön, G. |
College/School: | College of Science and Engineering > School of Engineering > Electronics and Nanoscale Engineering |
Journal Name: | Physical Review A: Atomic, Molecular and Optical Physics |
Publisher: | American Physical Society |
ISSN: | 2469-9926 |
ISSN (Online): | 2469-9934 |
Copyright Holders: | Copyright © 2016 American Physical Society |
First Published: | First published in Physical Review A 94(3): 032338 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
University Staff: Request a correction | Enlighten Editors: Update this record