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; John M. Martinis

doi:10.1038/ncomms8654

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. RoushanA. Vainsencher, J. Wenner, E. Solano, John M. Martinis

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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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.

Original language	English
Article number	7654
Journal	Nature Communications
Volume	6
DOIs	https://doi.org/10.1038/ncomms8654
Publication status	Published - 8 Jul 2015
Externally published	Yes

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Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

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Barends, R., Lamata, L., Kelly, J., García-Álvarez, L., Fowler, A. G., Megrant, A., Jeffrey, E., White, T. C., Sank, D., Mutus, J. Y., Campbell, B., Chen, Y., Chen, Z., Chiaro, B., Dunsworth, A., Hoi, I.-C., Neill, C., O'Malley, P. J. J., Quintana, C., ... Martinis, J. M. (2015). Digital quantum simulation of fermionic models with a superconducting circuit. Nature Communications, 6, Article 7654. https://doi.org/10.1038/ncomms8654

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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.",

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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, I-C, Neill, C, O'Malley, PJJ, Quintana, C, Roushan, P, Vainsencher, A, Wenner, J, Solano, E & Martinis, JM 2015, 'Digital quantum simulation of fermionic models with a superconducting circuit', Nature Communications, vol. 6, 7654. https://doi.org/10.1038/ncomms8654

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AU - Barends, R.

AU - Lamata, L.

AU - Kelly, J.

AU - García-Álvarez, L.

AU - Fowler, A.G.

AU - Megrant, A.

AU - Jeffrey, E.

AU - White, T.C.

AU - Sank, D.

AU - Mutus, J.Y.

AU - Campbell, B.

AU - Chen, Yu

AU - Chen, Z.

AU - Chiaro, B.

AU - Dunsworth, A.

AU - Hoi, I.-C.

AU - Neill, C.

AU - O'Malley, P.J.J.

AU - Quintana, C.

AU - Roushan, P.

AU - Vainsencher, A.

AU - Wenner, J.

AU - Solano, E.

AU - Martinis, John M.

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N2 - 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.

AB - 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.

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Digital quantum simulation of fermionic models with a superconducting circuit

Abstract

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