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Entropy
Volume 25
Issue 4
10.3390/e25040607
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Article

Generation of Pseudo-Random Quantum States on Actual Quantum Processors

by
Gabriele Cenedese
1,2,
Maria Bondani
3,*,
Dario Rosa
4,5 and
Giuliano Benenti
1,2,6
1
Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria, Via Valleggio 11, 22100 Como, Italy
2
Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Via Celoria 16, 20133 Milano, Italy
3
Istituto di Fotonica e Nanotecnologie, Consiglio Nazionale delle Ricerche, Via Valleggio 11, 22100 Como, Italy
4
Center for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34126, Republic of Korea
5
Basic Science Program, Korea University of Science and Technology (UST), Daejeon 34113, Republic of Korea
6
NEST-CNR Istituto Nanoscienze, 56126 Pisa, Italy
*
Author to whom correspondence should be addressed.
Entropy 2023, 25(4), 607; https://doi.org/10.3390/e25040607
Submission received: 16 February 2023 / Revised: 20 March 2023 / Accepted: 29 March 2023 / Published: 3 April 2023
(This article belongs to the Special Issue Advances in Quantum Computing)
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Abstract

The generation of a large amount of entanglement is a necessary condition for a quantum computer to achieve quantum advantage. In this paper, we propose a method to efficiently generate pseudo-random quantum states, for which the degree of multipartite entanglement is nearly maximal. We argue that the method is optimal, and use it to benchmark actual superconducting (IBM’s ibm_lagos) and ion trap (IonQ’s Harmony) quantum processors. Despite the fact that ibm_lagos has lower single-qubit and two-qubit error rates, the overall performance of Harmony is better thanks to its low error rate in state preparation and measurement and to the all-to-all connectivity of qubits. Our result highlights the relevance of the qubits network architecture to generate highly entangled states.
Keywords: quantum computing; NISQ devices; random quantum circuits quantum computing; NISQ devices; random quantum circuits

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MDPI and ACS Style

Cenedese, G.; Bondani, M.; Rosa, D.; Benenti, G. Generation of Pseudo-Random Quantum States on Actual Quantum Processors. Entropy 2023, 25, 607. https://doi.org/10.3390/e25040607

AMA Style

Cenedese G, Bondani M, Rosa D, Benenti G. Generation of Pseudo-Random Quantum States on Actual Quantum Processors. Entropy. 2023; 25(4):607. https://doi.org/10.3390/e25040607

Chicago/Turabian Style

Cenedese, Gabriele, Maria Bondani, Dario Rosa, and Giuliano Benenti. 2023. "Generation of Pseudo-Random Quantum States on Actual Quantum Processors" Entropy 25, no. 4: 607. https://doi.org/10.3390/e25040607

APA Style

Cenedese, G., Bondani, M., Rosa, D., & Benenti, G. (2023). Generation of Pseudo-Random Quantum States on Actual Quantum Processors. Entropy, 25(4), 607. https://doi.org/10.3390/e25040607

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