title: 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.
authors.affiliation: Google Inc., Santa Barbara, California 93117, USA.
authors.forename: R
authors.initials: R
authors.lastname: Barends
authors.affiliation: Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, Bilbao E-48080, Spain.
authors.forename: L
authors.identifier: 0000000295048685
authors.initials: L
authors.lastname: Lamata
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: J
authors.initials: J
authors.lastname: Kelly
authors.affiliation: Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, Bilbao E-48080, Spain.
authors.forename: L
authors.initials: L
authors.lastname: García-Álvarez
authors.affiliation: Google Inc., Santa Barbara, California 93117, USA.
authors.forename: A G
authors.initials: AG
authors.lastname: Fowler
authors.affiliation: 1] Department of Physics, University of California, Santa Barbara, California 93106, USA. [2] Department of Materials, University of California, Santa Barbara, California 93106, USA.
authors.forename: A
authors.initials: A
authors.lastname: Megrant
authors.affiliation: Google Inc., Santa Barbara, California 93117, USA.
authors.forename: E
authors.initials: E
authors.lastname: Jeffrey
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: T C
authors.initials: TC
authors.lastname: White
authors.affiliation: Google Inc., Santa Barbara, California 93117, USA.
authors.forename: D
authors.initials: D
authors.lastname: Sank
authors.affiliation: Google Inc., Santa Barbara, California 93117, USA.
authors.forename: J Y
authors.initials: JY
authors.lastname: Mutus
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: B
authors.initials: B
authors.lastname: Campbell
authors.affiliation: Google Inc., Santa Barbara, California 93117, USA.
authors.forename: Yu
authors.initials: Y
authors.lastname: Chen
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: Z
authors.initials: Z
authors.lastname: Chen
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: B
authors.initials: B
authors.lastname: Chiaro
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: A
authors.initials: A
authors.lastname: Dunsworth
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: I-C
authors.initials: IC
authors.lastname: Hoi
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: C
authors.initials: C
authors.lastname: Neill
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: P J J
authors.initials: PJ
authors.lastname: O'Malley
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: C
authors.initials: C
authors.lastname: Quintana
authors.affiliation: Google Inc., Santa Barbara, California 93117, USA.
authors.forename: P
authors.initials: P
authors.lastname: Roushan
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: A
authors.initials: A
authors.lastname: Vainsencher
authors.affiliation: Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: J
authors.identifier: 0000000171074734
authors.initials: J
authors.lastname: Wenner
authors.affiliation: 1] Department of Physical Chemistry, University of the Basque Country UPV/EHU, Apartado 644, Bilbao E-48080, Spain. [2] IKERBASQUE, Basque Foundation for Science, Maria Diaz de Haro 3, Bilbao 48013, Spain.
authors.forename: E
authors.initials: E
authors.lastname: Solano
authors.affiliation: 1] Google Inc., Santa Barbara, California 93117, USA. [2] Department of Physics, University of California, Santa Barbara, California 93106, USA.
authors.forename: John M
authors.initials: JM
authors.lastname: Martinis