Digital quantum simulation of fermionic models with a superconducting circuit

R. Barends (), L. Lamata (), J. Kelly, L. García-Álvarez, A. G. Fowler, A Megrant, E Jeffrey, T. C. White, D. Sank, J. Y. Mutus, B. Campbell, Yu Chen, Z. Chen, B. Chiaro, A. Dunsworth, I.-C. Hoi, C. Neill, P. J. J. O’Malley, C. Quintana, P. Roushan, A. Vainsencher, J. Wenner, E. Solano and John M. Martinis
Additional contact information
R. Barends: Google Inc.
L. Lamata: University of the Basque Country UPV/EHU
J. Kelly: University of California
L. García-Álvarez: University of the Basque Country UPV/EHU
A. G. Fowler: Google Inc.
A Megrant: University of California
E Jeffrey: Google Inc.
T. C. White: University of California
D. Sank: Google Inc.
J. Y. Mutus: Google Inc.
B. Campbell: University of California
Yu Chen: Google Inc.
Z. Chen: University of California
B. Chiaro: University of California
A. Dunsworth: University of California
I.-C. Hoi: University of California
C. Neill: University of California
P. J. J. O’Malley: University of California
C. Quintana: University of California
P. Roushan: Google Inc.
A. Vainsencher: University of California
J. Wenner: University of California
E. Solano: University of the Basque Country UPV/EHU
John M. Martinis: Google Inc.

Nature Communications, 2015, vol. 6, issue 1, 1-7

Abstract: 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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms8654

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DOI: 10.1038/ncomms8654

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