Generation of Pseudo-Random Quantum States on Actual Quantum Processors

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 t...

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Main Authors: Gabriele Cenedese, Maria Bondani, Dario Rosa, Giuliano Benenti
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/25/4/607
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author Gabriele Cenedese
Maria Bondani
Dario Rosa
Giuliano Benenti
author_facet Gabriele Cenedese
Maria Bondani
Dario Rosa
Giuliano Benenti
author_sort Gabriele Cenedese
collection DOAJ
description 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 <i>ibm_lagos</i>) and ion trap (IonQ’s <i>Harmony</i>) quantum processors. Despite the fact that <i>ibm_lagos</i> has lower single-qubit and two-qubit error rates, the overall performance of <i>Harmony</i> 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.
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spelling doaj.art-0ede7a9303094a72ab3c78352169b6902023-11-17T19:08:28ZengMDPI AGEntropy1099-43002023-04-0125460710.3390/e25040607Generation of Pseudo-Random Quantum States on Actual Quantum ProcessorsGabriele Cenedese0Maria Bondani1Dario Rosa2Giuliano Benenti3Center for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria, Via Valleggio 11, 22100 Como, ItalyIstituto di Fotonica e Nanotecnologie, Consiglio Nazionale delle Ricerche, Via Valleggio 11, 22100 Como, ItalyCenter for Theoretical Physics of Complex Systems, Institute for Basic Science (IBS), Daejeon 34126, Republic of KoreaCenter for Nonlinear and Complex Systems, Dipartimento di Scienza e Alta Tecnologia, Università degli Studi dell’Insubria, Via Valleggio 11, 22100 Como, ItalyThe 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 <i>ibm_lagos</i>) and ion trap (IonQ’s <i>Harmony</i>) quantum processors. Despite the fact that <i>ibm_lagos</i> has lower single-qubit and two-qubit error rates, the overall performance of <i>Harmony</i> 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.https://www.mdpi.com/1099-4300/25/4/607quantum computingNISQ devicesrandom quantum circuits
spellingShingle Gabriele Cenedese
Maria Bondani
Dario Rosa
Giuliano Benenti
Generation of Pseudo-Random Quantum States on Actual Quantum Processors
Entropy
quantum computing
NISQ devices
random quantum circuits
title Generation of Pseudo-Random Quantum States on Actual Quantum Processors
title_full Generation of Pseudo-Random Quantum States on Actual Quantum Processors
title_fullStr Generation of Pseudo-Random Quantum States on Actual Quantum Processors
title_full_unstemmed Generation of Pseudo-Random Quantum States on Actual Quantum Processors
title_short Generation of Pseudo-Random Quantum States on Actual Quantum Processors
title_sort generation of pseudo random quantum states on actual quantum processors
topic quantum computing
NISQ devices
random quantum circuits
url https://www.mdpi.com/1099-4300/25/4/607
work_keys_str_mv AT gabrielecenedese generationofpseudorandomquantumstatesonactualquantumprocessors
AT mariabondani generationofpseudorandomquantumstatesonactualquantumprocessors
AT dariorosa generationofpseudorandomquantumstatesonactualquantumprocessors
AT giulianobenenti generationofpseudorandomquantumstatesonactualquantumprocessors