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Quantum annealing (QA) and Quantum Alternating Operator Ansatz (QAOA) are both heuristic quantum algorithms intended for sampling optimal solutions of combinatorial optimization problems. In this article we implement a rigorous direct comparison between QA on D-Wave hardware and QAOA on IBMQ hardware. These two quantum algorithms are also compared against classical simulated annealing. The studied problems are instances of a class of Ising models, with variable assignments of $$+1$$+1or $$-1$$-1, that contain cubic ZZZ interactions (higher order terms) and match both the native connectivity of the Pegasus topology D-Wave chips and the heavy hexagonal lattice of the IBMQ chips. The novel QAOA implementation on the heavy hexagonal lattice has a CNOT depth of 6 per round and allows for usage of an entire heavy hexagonal lattice. Experimentally, QAOA is executed on an ensemble of randomly generated Ising instances with a grid search over 1 and 2 round angles using all 127 programmable superconducting transmon qubits of ibm_washington. The error suppression technique digital dynamical decoupling is also tested on all QAOA circuits. QA is executed on the same Ising instances with the programmable superconducting flux qubit devices D-Wave Advantage_system4.1 and Advantage_system6.1 using modified annealing schedules with pauses. We find that QA outperforms QAOA on all problem instances. We also find that dynamical decoupling enables 2-round QAOA to marginally outperform 1-round QAOA, which is not the case without dynamical decoupling.
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<div class="funder"> Tématerületi Kiválósági Program 2021(TKP2021-NVA-09) Támogató: NKFIH, MILAB(RRF-2.3.1-21-2022-00004) Támogató: NKFIH </div>
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<pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Megjegyzés</u>: Export Date: 17 January 2024
Correspondence Address: Vetráb, M.; Institute of Informatics, Hungary; email: vetrabm@inf.u-szeged.hu</pre>
</div></div>
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University of Birmingham, Birmingham, United Kingdom
Budapest University of Technology and Economics, Budapest, Hungary
Institute for Computer Science and Control, Hungarian Research Network, Budapest, Hungary
DGA-MI, Bruz, France
IRMAR, UMR 6625, Université de Rennes, Rennes, France
Eötvös Loránd University, Budapest, Hungary
Université libre de Bruxelles, Bruxelles, Belgium
Conference code: 305449
Export Date: 19 February 2024
Correspondence Address: Kutas, P.; University of BirminghamUnited Kingdom; email: kutasp@gmail.com
Funding details: Engineering and Physical Sciences Research Council, EPSRC, EP/V011324/1
Funding details: Magyar Tudományos Akadémia, MTA
Funding text 1: Gábor Ivanyos is supported in part by the Hungarian Ministry of Innovation and Technology NRDI Office within the framework of the Artificial Intelligence National Laboratory Program. Péter Kutas is supported by the Hungarian Ministry of Innovation and Technology NRDI Office within the framework of the Quantum Information National Laboratory Program, the J’anos Bolyai Research Scholarship of the Hungarian Academy of Sciences and by the UNKP-22-5 New National Excellence Program. Mingjie Chen, Péter Kutas and Christophe Petit are partly supported by EPSRC through grant number EP/V011324/1.
Funding Agency and Grant Number: Hungarian Ministry of Innovation and Technology NRDI Office; Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences; New National Excellence Program [UNKP-22-5]; EPSRC [EP/V011324/1]
Funding text: Gabor Ivanyos is supported in part by the Hungarian Ministry of Innovation and Technology NRDI Office within the framework of the Artificial Intelligence National Laboratory Program. Peter Kutas is supported by the Hungarian Ministry of Innovation and Technology NRDI Office within the framework of the Quantum Information National Laboratory Program, the Janos Bolyai Research Scholarship of the Hungarian Academy of Sciences and by the UNKP-22-5 New National Excellence Program. Mingjie Chen, Peter Kutas and Christophe Petit are partly supported by EPSRC through grant number EP/V011324/1.
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The Isogeny to Endomorphism Ring Problem (IsERP) asks to compute the endomorphism ring of the codomain of an isogeny between supersingular curves in characteristic p given only a representation for this isogeny, i.e. some data and an algorithm to evaluate this isogeny on any torsion point. This problem plays a central role in isogeny-based cryptography; it underlies the security of pSIDH protocol (ASIACRYPT 2022) and it is at the heart of the recent attacks that broke the SIDH key exchange. Prior to this work, no efficient algorithm was known to solve IsERP for a generic isogeny degree, the hardest case seemingly when the degree is prime. In this paper, we introduce a new quantum polynomial-time algorithm to solve IsERP for isogenies whose degrees are odd and have O(log log p) many prime factors. As main technical tools, our algorithm uses a quantum algorithm for computing hidden Borel subgroups, a group action on supersingular isogenies from EUROCRYPT 2021, various algorithms for the Deuring correspondence and a new algorithm to lift arbitrary quaternion order elements modulo an odd integer N with O(log log p) many prime factors to powersmooth elements. As a main consequence for cryptography, we obtain a quantum polynomial-time key recovery attack on pSIDH. The technical tools we use may also be of independent interest.
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" > Chen, M </span> <span class="author-type"> </span> ; <span class="author-name" mtid="10087993"> <a href="/gui2/?type=authors&mode=browse&sel=10087993" target="_blank">Imran, M</a> </span> <span class="author-type"> </span> ; <span class="author-name" mtid="10000741"> <a href="/gui2/?type=authors&mode=browse&sel=10000741" target="_blank">Ivanyos, G</a> </span> <span class="author-type"> </span> ; <span class="author-name" mtid="10061609"> <a href="/gui2/?type=authors&mode=browse&sel=10061609" target="_blank">Kutas, P ✉</a> </span> <span class="author-type"> </span> ; <span class="author-name" > Leroux, A </span> <span class="author-type"> </span> ; <span class="author-name" > Petit, C </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;34445422" mtid="34445422" target="_blank">Hidden Stabilizers, the Isogeny to Endomorphism Ring Problem and the Cryptanalysis of pSIDH</a></div> <div class="pub-info"> <span class="journal-title">LECTURE NOTES IN COMPUTER SCIENCE</span> <span class="journal-volume">14440</span> <span class="page"> pp. 99-130. , 32 p. </span> <span class="year">(2023)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="10.1007/978-981-99-8727-6_4" target="_blank" href="https://doi.org/10.1007/978-981-99-8727-6_4"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="001157416300004" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/001157416300004"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="85184103322" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85184103322"> Scopus </a> </span> </span> </div> <div class="short-pub-prop-list"> <span class="short-pub-mtid"> Közlemény:34445422 </span> <span class="status-holder"><span class="status-data status-APPROVED"> Nyilvános </span></span> <span class="pub-core">Forrás </span> <span class="pub-type">Folyóiratcikk (Szakcikk ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Tudományos</span> </div> </div> </div><div class="JournalArticle Publication long-list">
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<div class="mtid"><span class="long-pub-mtid">Közlemény: 34445422</span>
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<div class="lastModified">Utolsó módosítás: 2024.03.19. 10:11 Nagy Eszter (SZTA admi, admin)
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<pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Megjegyzés</u>: University of Birmingham, Birmingham, United Kingdom
Budapest University of Technology and Economics, Budapest, Hungary
Institute for Computer Science and Control, Hungarian Research Network, Budapest, Hungary
DGA-MI, Bruz, France
IRMAR, UMR 6625, Université de Rennes, Rennes, France
...</pre>
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<pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Megjegyzés</u>: Conference code: 302279
Export Date: 13 November 2023</pre>
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This paper mainly studies the effect of different styles of music on subjective and objective mental fatigue through continuous cognitive tasks. The experiment used music styles (soothing music, exciting music) as different intervention conditions, subjective mental fatigue and behavioral performance indicators as experimental observation values, and an experimental control group was set up. Participants performed a 75-min N-Back cognitive task (the first 60-min fatigue-inducing period; the second 15-min music conditioning period). The results showed that: (a) a 60-min continuous cognitive task successfully induced mental fatigue, and the fatigue indicators in period 4 (45–60 min) changed significantly compared with period 1. (b) Compared with the no-music control group, the soothing and exciting music groups both decreased subjective and objective fatigue to varying degrees during the regulation period. (c) Due to its high rhythm and high energy characteristics, exciting music has a higher arousal level and a more obvious compensation effect on mental fatigue. © 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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<pre class="comment" style="margin-top: 0; margin-bottom: 0;"><u>Megjegyzés</u>: Conference code: 290359
Export Date: 8 November 2023
Correspondence Address: Zhou, K.; Shanghai UniversityChina; email: zkshu@shu.edu.cn</pre>
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