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Pregled bibliografske jedinice broj: 413906

Exhaustive Generation of Orthomodular Lattices with Exactly One Non-Quantum State

Pavičić, Mladen
Exhaustive Generation of Orthomodular Lattices with Exactly One Non-Quantum State // Reports on mathematical physics, 64 (2009), 3; 417-428 doi:10.1016/S0034-4877(10)00005-4 (međunarodna recenzija, članak, znanstveni)

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Naslov
Exhaustive Generation of Orthomodular Lattices with Exactly One Non-Quantum State

Autori
Pavičić, Mladen

Izvornik
Reports on mathematical physics (0034-4877) 64 (2009), 3; 417-428

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Hilbert space; orthomodular lattices; MMP diagrams; Greechie diagrams; strong states

Sažetak
We give an algorithm for generating orthomodular lattices (OMLs) with exactly one state that do not admit particular properties of the Hilbert space. We apply MMP algorithms we previously used to exhaustively generate Kochen-Specker vectors and obtain smallest OMLs with 35 atoms and 35 blocks (35-35) and all other ones up to 38-38. We find out that all but one of them admit exactly one state and discover several other properties of theirs. Previously known such OMLs have 44 atoms and 44 blocks or more. We present some of them in our notation.

Izvorni jezik
Engleski

Znanstvena područja
Fizika



POVEZANOST RADA

Projekti:
082-0982562-3160 - Kvantno računanje: paralelnost i vizualizacija (Pavičić, Mladen, MZOS ) ( CroRIS)

Ustanove:
Građevinski fakultet, Zagreb

Profili:

Avatar Url Mladen Pavičić (autor)

Poveznice na cjeloviti tekst rada:

Pristup cjelovitom tekstu rada doi www.sciencedirect.com

Citiraj ovu publikaciju:

Pavičić, Mladen
Exhaustive Generation of Orthomodular Lattices with Exactly One Non-Quantum State // Reports on mathematical physics, 64 (2009), 3; 417-428 doi:10.1016/S0034-4877(10)00005-4 (međunarodna recenzija, članak, znanstveni)
Pavičić, M. (2009) Exhaustive Generation of Orthomodular Lattices with Exactly One Non-Quantum State. Reports on mathematical physics, 64 (3), 417-428 doi:10.1016/S0034-4877(10)00005-4.
@article{article, author = {Pavi\v{c}i\'{c}, Mladen}, year = {2009}, pages = {417-428}, DOI = {10.1016/S0034-4877(10)00005-4}, keywords = {Hilbert space, orthomodular lattices, MMP diagrams, Greechie diagrams, strong states}, journal = {Reports on mathematical physics}, doi = {10.1016/S0034-4877(10)00005-4}, volume = {64}, number = {3}, issn = {0034-4877}, title = {Exhaustive Generation of Orthomodular Lattices with Exactly One Non-Quantum State}, keyword = {Hilbert space, orthomodular lattices, MMP diagrams, Greechie diagrams, strong states} }
@article{article, author = {Pavi\v{c}i\'{c}, Mladen}, year = {2009}, pages = {417-428}, DOI = {10.1016/S0034-4877(10)00005-4}, keywords = {Hilbert space, orthomodular lattices, MMP diagrams, Greechie diagrams, strong states}, journal = {Reports on mathematical physics}, doi = {10.1016/S0034-4877(10)00005-4}, volume = {64}, number = {3}, issn = {0034-4877}, title = {Exhaustive Generation of Orthomodular Lattices with Exactly One Non-Quantum State}, keyword = {Hilbert space, orthomodular lattices, MMP diagrams, Greechie diagrams, strong states} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus

Uključenost u ostale bibliografske baze podataka::


  • INSPEC
  • Mathematical Reviews
  • Scopus
  • Cambridge Scientific Abstracts

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