Digital quantum simulation of fermionic models with a superconducting circuit.

Abstract:

:One of the key applications of quantum information is simulating nature. Fermions are ubiquitous in nature, appearing in condensed matter systems, chemistry and high energy physics. However, universally simulating their interactions is arguably one of the largest challenges, because of the difficulties arising from anticommutativity. Here we use digital methods to construct the required arbitrary interactions, and perform quantum simulation of up to four fermionic modes with a superconducting quantum circuit. We employ in excess of 300 quantum logic gates, and reach fidelities that are consistent with a simple model of uncorrelated errors. The presented approach is in principle scalable to a larger number of modes, and arbitrary spatial dimensions.

journal_name

Nat Commun

journal_title

Nature communications

authors

Barends R,Lamata L,Kelly J,García-Álvarez L,Fowler AG,Megrant A,Jeffrey E,White TC,Sank D,Mutus JY,Campbell B,Chen Y,Chen Z,Chiaro B,Dunsworth A,Hoi IC,Neill C,O'Malley PJ,Quintana C,Roushan P,Vainsencher A,Wenn

doi

10.1038/ncomms8654

subject

Has Abstract

pub_date

2015-07-08 00:00:00

pages

7654

issn

2041-1723

pii

ncomms8654

journal_volume

6

pub_type

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