Emulating the one-dimensional Fermi-Hubbard model by a double chain of qubits

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, 94(3), 032338. (doi:10.1103/PhysRevA.94.032338)

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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
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

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