Project Results
CORDIS provides links to public deliverables and publications of HORIZON projects.
Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .
Deliverables
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Stable release of open source Julia code for computing representations, cohomology, group algebras and other algebraic invariants of Heisenberg and Clifford groups over algebraic number fields using OSCAR (Open Source Computer Algebra Research system). This will enable exact computations in small dimensions that will further inform our theoretical investigations into the arithmetic structures of their orbits on states, codes, circuits, polytopes, etc. It will also let us study the role played by non-isomorphic maximal orders in questions of exact circuit synthesis in arithmetic groups.
Report on developing a compositional resource theory of non-classicality for arbitrary causal structures. This will extend contextuality analysis and quantification to arbitrary scenarios, including generalisations of the noncontextuality and non-locality constraints on classical ontological models. It will enable a principled extension of contextuality analysis and measures of contextuality to computational settings such as the circuit model and multi-agent communication.
Report on representation of quantum algorithms in extended stabilizer formalisms (T2.2) (opens in new window)Report on the representation of quantum algorithms in extensions of the Pauli stabilizer formalism. The report will discuss (i) algebraic generalizations of the stabilizer formalism based on group theoretic methods for describing quantum algorithms; (ii) the cnc-construction; specifically prospects and limitations, and (iii) the Lambda polytopes; specifically how known hidden-variable descriptions found for certain algorithms carry over to the Lambda polytopes.
Report on non-continuous equivalence transformations for topological circuits (T4.3) (opens in new window)Report on discrete equivalence transformation for encoded gate operation. Based on the currently existing graphical form of the transformation rules, their rigorous mathematical description is established, and a corresponding efficient representation as a data structure is identified.
Publications
Author(s):
Imin Chen, Nadish de Silva
Published in:
Communications in Mathematical Physics, Issue accepted, in press., 2024, ISSN 0010-3616
Publisher:
Springer Verlag
DOI:
10.48550/arXiv.2309.15184
Author(s):
Nadish de Silva, Oscar Lautsch
Published in:
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 481, 2026, ISSN 1364-5021
Publisher:
The Royal Society
DOI:
10.48550/ARXIV.2501.07939
Author(s):
P. Drmota, D. Main, E. M. Ainley, A. Agrawal, G. Araneda, D. P. Nadlinger, B. C. Nichol, R. Srinivas, A. Cabello, D. M. Lucas
Published in:
Physical Review Letters, Issue 134, 2025, ISSN 0031-9007
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2406.08412
Author(s):
Rafael Wagner, Ernesto F. Galvão
Published in:
Physical Review A, Issue 108, L040202, 2023, ISSN 2469-9926
Publisher:
American Physical Society
DOI:
10.48550/arxiv.2303.08700
Author(s):
Amanda M. Fonseca, Vinicius P. Rossi, Roberto D. Baldijão, John H. Selby, Ana Belén Sainz
Published in:
Physical Review A, Issue 111, 2025, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2406.12773
Author(s):
Tiago Santos, Rafael Wagner, Bárbara Amaral
Published in:
Physical Review A, Issue 110, 2024, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2407.02120
Author(s):
Cihan Okay, Ho Yiu Chung, Selman Ipek
Published in:
Quantum Information and Computation, Issue 23(9&10), 733–782, 2023, ISSN 1533-7146
Publisher:
Rinton Press
DOI:
10.48550/arXiv.2210.10186
Author(s):
Arthur Braida, Shantanav Chakraborty, Alapan Chaudhuri, Joseph Cunningham, Rutvij Menavlikar, Leonardo Novo, Jérémie Roland
Published in:
Quantum, Issue 9, 2025, ISSN 2521-327X
Publisher:
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
DOI:
10.48550/ARXIV.2411.05736
Author(s):
Otavio A. D. Molitor, André H. A. Malavazi, Roberto Dobal Baldijão, Alexandre C. Orthey, Ismael L. Paiva, Pedro R. Dieguez
Published in:
Communications Physics, Issue 7, 2024, ISSN 2399-3650
Publisher:
Springer Science and Business Media LLC
DOI:
10.48550/ARXIV.2405.09631
Author(s):
Leander I. Reascos, Bruno Murta, Ernesto F. Galvão, Joaquín Fernández-Rossier
Published in:
Physical Review Research, Issue 5, 043087, 2023, ISSN 2643-1564
Publisher:
American Physical Society
DOI:
10.48550/arxiv.2306.14804
Author(s):
Raman Choudhary, Rui Soares Barbosa, Adán Cabello
Published in:
Physical Review A, Issue 109, 052216, 2024, ISSN 1094-1622
Publisher:
American Physical Society
DOI:
10.48550/arXiv.2401.12349
Author(s):
Debashis Saha, Adán Cabello
Published in:
Physical Review A, Issue 112, 2025, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2501.00409
Author(s):
Massy Khoshbin, Lorenzo Catani, Matthew Leifer
Published in:
Physical Review A, Issue 109, 032212, 2024, ISSN 2469-9926
Publisher:
American Physical Society
DOI:
10.48550/arxiv.2311.13474
Author(s):
Robert Raussendorf, Wang Yang, Arnab Adhikary
Published in:
Quantum, Issue 7, 1215, 2023, ISSN 2521-327X
Publisher:
Quantum
DOI:
10.22331/q-2023-12-28-1215
Author(s):
Rhea Alexander
Published in:
npj Quantum Information, Issue 12, 2026, ISSN 2056-6387
Publisher:
Springer Science and Business Media LLC
DOI:
10.48550/ARXIV.2505.00427
Author(s):
Aziz Kharoof, Selman Ipek, Cihan Okay
Published in:
Journal of Physics A: Mathematical and Theoretical, Issue 58, 2025, ISSN 1751-8113
Publisher:
IOP Publishing
DOI:
10.48550/ARXIV.2406.19961
Author(s):
Stefan Trandafir, Adán Cabello
Published in:
Physical Review A, Issue 111, 2025, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2410.17470
Author(s):
Nadish de Silva, Ming Yin, Sergii Strelchuk
Published in:
Quantum Science and Technology, Issue accepted, in press, 2024, ISSN 2058-9565
Publisher:
IOP Publishing
DOI:
10.48550/arXiv.2311.17384
Author(s):
Giulio Camillo, Filipa C.R. Peres, Markus Heinrich, Juani Bermejo-Vega
Published in:
PRX Quantum, Issue 7, 2026, ISSN 2691-3399
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2510.18977
Author(s):
David Schmid, John H. Selby, Vinicius P. Rossi, Roberto D. Baldijão, Ana Belén Sainz
Published in:
Quantum, Issue 9, 2025, ISSN 2521-327X
Publisher:
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
DOI:
10.48550/ARXIV.2409.13024
Author(s):
Selman Ipek, Atak Talay Yucel, Farzad Shahi, Cagdas Ozdemir, Cihan Okay
Published in:
Physical Review A, Issue 113, 2026, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2506.04033
Author(s):
Wang Yang, Arnab Adhikary, Robert Raussendorf
Published in:
Physical Review A, Issue 113, 2026, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2409.16109
Author(s):
Aziz Kharoof, Selman Ipek, Cihan Okay
Published in:
Entropy, Issue 25(8), 1127, 2023, ISSN 1099-4300
Publisher:
Multidisciplinary Digital Publishing Institute (MDPI)
DOI:
10.3390/e25081127
Author(s):
Sam Winnick, Jennifer Paykin
Published in:
Journal of Mathematical Physics, Issue 66, 2025, ISSN 0022-2488
Publisher:
AIP Publishing
DOI:
10.48550/ARXIV.2407.16861
Author(s):
Vinicius P. Rossi, David Schmid, John H. Selby, Ana Belén Sainz
Published in:
Physical Review A, Issue 108, 032213, 2023, ISSN 2469-9926
Publisher:
American Physical Society
DOI:
10.48550/arxiv.2212.06856
Author(s):
SAMSON ABRAMSKY, JONI PULJUJÄRVI, JOUKO VÄÄNÄNEN
Published in:
The Bulletin of Symbolic Logic, Issue 32, 2026, ISSN 1079-8986
Publisher:
Cambridge University Press (CUP)
DOI:
10.48550/ARXIV.2107.10817
Author(s):
Adán Cabello
Published in:
Physical Review Letters, Issue 135, 2025, ISSN 0031-9007
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2508.07335
Author(s):
Ho Yiu Chung, Cihan Okay, Igor Sikora
Published in:
Topology and its Applications, Issue 348,108883, 2024, ISSN 0166-8641
Publisher:
Topology and its applications
DOI:
10.48550/arXiv.2305.07974
Author(s):
Taira Giordani, Rafael Wagner, Chiara Esposito, Anita Camillini, Francesco Hoch, Gonzalo Carvacho, Ciro Pentangelo, Francesco Ceccarelli, Simone Piacentini, Andrea Crespi, Nicolò Spagnolo, Roberto Osellame, Ernesto F. Galvão, Fabio Sciarrino
Published in:
Science Advances, Issue 9(44), eadj4249, 2023, ISSN 2375-2548
Publisher:
Science Advances
DOI:
10.1126/sciadv.adj4249
Author(s):
Filipa C. R. Peres, Ernesto F. Galvão
Published in:
Physical Review A, Issue 112, 2025, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2408.04007
Author(s):
Kyrylo Simonov, Rafael Wagner, Ernesto F. Galvão
Published in:
Physical Review A, Issue 112, 2025, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2505.20208
Author(s):
Lorenzo Catani, Thomas D. Galley, Tomáš Gonda
Published in:
Quantum, Issue 10, 2026, ISSN 2521-327X
Publisher:
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
DOI:
10.48550/ARXIV.2406.00717
Author(s):
Guilherme B. Xavier, Jan-Åke Larsson, Paolo Villoresi, Giuseppe Vallone, Adán Cabello
Published in:
npj Quantum Information, Issue 11, 2025, ISSN 2056-6387
Publisher:
Springer Science and Business Media LLC
DOI:
10.48550/ARXIV.2503.14675
Author(s):
Filipa C R Peres, Rafael Wagner, Ernesto F Galvão
Published in:
New Journal of Physics, Issue 26, 013051, 2024, ISSN 1367-2630
Publisher:
NJP
DOI:
10.48550/arxiv.2305.19988
Author(s):
Zhen-Peng Xu, Debashis Saha, Kishor Bharti, Adán Cabello
Published in:
Physical Review Letters, Issue 132, 140201, 2024, ISSN 1079-7114
Publisher:
American Physical Society
DOI:
10.48550/arXiv.2309.05735
Author(s):
Stefan Trandafir, Adán Cabello
Published in:
Physical Review A, Issue 111, 2025, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2501.11640
Author(s):
Ana Martínez-Sabiote, Michalis Skotiniotis, Jara J. Bermejo-Vega, Daniel Manzano, Carlos Cano
Published in:
The Journal of Supercomputing, Issue 82, 2026, ISSN 1573-0484
Publisher:
Springer Science and Business Media LLC
DOI:
10.48550/ARXIV.2508.17909
Author(s):
Swapnil Bhowmick, Som Kanjilal, A. K. Pan, Souradeep Sasmal
Published in:
Physical Review A, Issue 110, 2024, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2408.10350
Author(s):
Cihan Okay
Published in:
Research in the Mathematical Sciences, Issue 13, 2026, ISSN 2522-0144
Publisher:
Springer Science and Business Media LLC
DOI:
10.48550/ARXIV.2510.07540
Author(s):
Filipa C. R. Peres
Published in:
Physical Review A, Issue 108, 032606, 2023, ISSN 2469-9926
Publisher:
American Physical Society
DOI:
10.48550/arxiv.2302.13702
Author(s):
Rafael Wagner, Roberto D Baldijão, Alisson Tezzin, Bárbara Amaral
Published in:
Journal of Physics A: Mathematical and Theoretical, Issue 56, 505303, 2023, ISSN 1751-8113
Publisher:
IOP Publising
DOI:
10.48550/ARXIV.2102.10469
Author(s):
Rafael Wagner, Zohar Schwartzman-Nowik, Ismael L Paiva, Amit Te'eni, Antonio Ruiz-Molero, Rui Soares Barbosa, Eliahu Cohen, Ernesto F Galvão
Published in:
Quantum Science and Technology, Issue 9, 015030, 2024, ISSN 2058-9565
Publisher:
Quantum Science and Technology
DOI:
10.48550/arxiv.2302.00705
Author(s):
Gabrielle Tournaire, Marvin Schwiering, Robert Raussendorf, Sven Bachmann
Published in:
Quantum, Issue Vol. 10, article 1997, 2026, ISSN 2521-327X
Publisher:
QUANTUM
DOI:
10.48550/ARXIV.2412.09781
Author(s):
Jan Lennart Bönsel, Otfried Gühne, Adán Cabello
Published in:
Physical Review A, Issue 111, 2025, ISSN 2469-9926
Publisher:
American Physical Society (APS)
DOI:
10.48550/ARXIV.2406.07659
Author(s):
Samson Abramsky, Rui Soares Barbosa, Amy Searle
Published in:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 382(2268), 20230002, 2024, ISSN 1364-503X
Publisher:
Royal Society of London
DOI:
10.48550/arxiv.2307.04786
Author(s):
Rui Soares Barbosa, Aziz Kharoof, Cihan Okay
Published in:
arXiv, Issue arXiv:2308.06336 [math.CT], 2023
Publisher:
N/A
DOI:
10.48550/arxiv.2308.06336
Author(s):
Redi Haderi, Cihan Okay, Walker H. Stern
Published in:
arXiv, Issue arXiv:2403.18102 [math.CT], 2024
Publisher:
N/A
DOI:
10.48550/arXiv.2403.18102
Author(s):
Yuan Liu, Ho Yiu Chung, Emmanuel Zambrini Cruzeiro, Junior R. Gonzales-Ureta, Ravishankar Ramanathan, Adán Cabello
Published in:
arXiv, Issue arXiv:2310.10600 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/ARXIV.2310.10600
Author(s):
Okay, Cihan
Published in:
arXiv, Issue arXiv:2312.15794 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/arxiv.2312.15794
Author(s):
Adán Cabello, Marco Túlio Quintino, Matthias Kleinmann
Published in:
arXiv, Issue arXiv:2307.02920 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/ARXIV.2307.02920
Author(s):
Amira Abbas et al.
Published in:
arXiv, Issue arXiv:2312.02279 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/arXiv.2312.02279
Author(s):
Ingemar Bengtsson, Markus Grassl, Gary McConnell
Published in:
arXiv, Issue arXiv:2403.02872 [quant-ph], 2024
Publisher:
N/A
DOI:
10.48550/arXiv.2403.02872
Author(s):
Cihan Okay, Walker H. Stern
Published in:
arXiv, Issue arXiv:2403.19808 [quant-ph], 2024
Publisher:
N/A
DOI:
10.48550/arXiv.2403.19808
Author(s):
Nadish de Silva, Wilfred Salmon, Ming Yin
Published in:
arXiv, Issue arXiv:2311.10357 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/arXiv.2311.10357
Author(s):
Martin Ringbauer et al.
Published in:
arXiv, Issue arXiv:2307.14424 [quant-ph], 2024
Publisher:
N/A
DOI:
10.48550/arxiv.2307.14424
Author(s):
Selman Ipek, Cihan Okay
Published in:
arXiv, Issue arXiv:2312.10734 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/ARXIV.2312.10734
Author(s):
Samson Abramsky, Radha Jagadeesan
Published in:
arXiv, Issue arXiv:2404.06646 [cs.PL], 2024
Publisher:
N/A
DOI:
10.48550/arXiv.2404.06646
Author(s):
Boseong Kim, Samson Abramsky
Published in:
arXiv, Issue arXiv:2311.11218 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/arXiv.2311.11218
Author(s):
David Schmid, Roberto D. Baldijão, Yìlè Yīng, Rafael Wagner, John H. Selby
Published in:
arXiv, Issue arXiv:2405.04573 [quant-ph], 2024
Publisher:
N/A
DOI:
10.48550/ARXIV.2405.04573
Author(s):
Jan Głowacki
Published in:
arXiv, Issue arXiv:2403.03755 [quant-ph], 2024
Publisher:
N/A
DOI:
10.48550/ARXIV.2403.03755
Author(s):
Amolak Ratan Kalra, Manimugdha Saikia, Dinesh Valluri, Sam Winnick, Jon Yard
Published in:
arXiv, Issue arXiv:2405.08147 [quant-ph], 2024
Publisher:
N/A
DOI:
10.48550/arXiv.2405.08147
Author(s):
Titouan Carette, Jan Głowacki, Leon Loveridge
Published in:
arXiv, Issue arXiv:2303.14002 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/ARXIV.2303.14002
Author(s):
Aziz Kharoof, Cihan Okay
Published in:
arXiv, Issue arXiv:2311.14111 [math.AT], 2023
Publisher:
N/A
DOI:
10.48550/arxiv.2311.14111
Author(s):
Carlos Vieira, Ravishankar Ramanathan, Adán Cabello
Published in:
arXiv, Issue arXiv:2402.00801 [quant-ph], 2024
Publisher:
N/A
DOI:
10.48550/ARXIV.2402.00801
Author(s):
Adán Cabello
Published in:
arXiv, Issue arXiv:2311.17735 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/ARXIV.2311.17735
Author(s):
Michael Zurel, Lawrence Z. Cohen, Robert Raussendorf
Published in:
arXiv, Issue arXiv:2307.16034 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/arXiv.2307.16034
Author(s):
Cihan Okay, Igor Sikora
Published in:
arXiv, Issue arXiv:2310.18135 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/arxiv.2310.18135
Author(s):
Souradeep Sasmal, Som Kanjilal, Alok Kumar Pan
Published in:
arXiv, Issue arXiv:2311.07977 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/arXiv.2311.07977
Author(s):
Michael Zurel, Cihan Okay, Robert Raussendorf
Published in:
arXiv, Issue arXiv:2305.17287 [quant-ph], 2024
Publisher:
N/A
DOI:
10.48550/arXiv.2305.17287
Author(s):
Arthur C. R. Dutra, Roberto D. Baldijão, Marcelo Terra Cunha
Published in:
arXiv, Issue arXiv:2310.19564 [quant-ph], 2023
Publisher:
N/A
DOI:
10.48550/ARXIV.2310.19564
Author(s):
Arthur Mehta, Connor Paddock, Lewis Wooltorton
Published in:
Leibniz International Proceedings in Informatics (LIPIcs) - 20th Conference on the Theory of Quantum Computation, Communication and Cryptography (TQC 2025), Issue Vol. 350, article 8, 2025
Publisher:
Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
DOI:
10.48550/ARXIV.2406.04986
Author(s):
Jennifer Paykin, Sam Winnick
Published in:
Proceedings of the ACM on Programming Languages, Issue 10, 2026, ISSN 2475-1421
Publisher:
Association for Computing Machinery (ACM)
DOI:
10.48550/ARXIV.2407.16801
Author(s):
Sohrab Ganjian, Connor Paddock, Anne Broadbent
Published in:
2024 IEEE 6th International Conference on Trust, Privacy and Security in Intelligent Systems, and Applications (TPS-ISA), 2025
Publisher:
IEEE
DOI:
10.48550/ARXIV.2406.16247
Author(s):
Nadish de Silva, Santanil Jana, Ming Yin
Published in:
Electronic Proceedings in Theoretical Computer Science, Issue 426, 2025, ISSN 2075-2180
Publisher:
Open Publishing Association
DOI:
10.48550/ARXIV.2508.14673
Author(s):
Samson Abramsky, Şerban-Ion Cercelescu, Carmen-Maria Constantin
Published in:
Leibniz International Proceedings in Informatics (LIPIcs) - International Conference on Formal Structures for Computation and Deduction (FSCD 2024), Issue Vol. 299, article 28
Publisher:
Schloss Dagstuhl - Leibniz-Zentrum fuer Informatik
DOI:
10.48550/ARXIV.2603.12197
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