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Equational characterization for two-valued states in orthomodular quantum systems
In this paper we develop an algebraic framework in which several classes of two-valued states over orthomodular lattices may be equationally characterized. The class of two-valued states and the subclass of Jauch–Piron two-valued states are among the classes which we study.
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| Published in: | Reports on mathematical physics 2011, Vol.68 (1), p.65-83 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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| cited_by | cdi_FETCH-LOGICAL-c388t-9333168ef6b73498ac7d12e503cd852a1a522f38f2f5eb51dd2943124b036caa3 |
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| cites | cdi_FETCH-LOGICAL-c388t-9333168ef6b73498ac7d12e503cd852a1a522f38f2f5eb51dd2943124b036caa3 |
| container_end_page | 83 |
| container_issue | 1 |
| container_start_page | 65 |
| container_title | Reports on mathematical physics |
| container_volume | 68 |
| creator | Domenech, G. Freytes, H. de Ronde, C. |
| description | In this paper we develop an algebraic framework in which several classes of two-valued states over orthomodular lattices may be equationally characterized. The class of two-valued states and the subclass of Jauch–Piron two-valued states are among the classes which we study. |
| doi_str_mv | 10.1016/S0034-4877(11)60027-X |
| format | article |
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| fulltext | fulltext |
| identifier | ISSN: 0034-4877 |
| ispartof | Reports on mathematical physics, 2011, Vol.68 (1), p.65-83 |
| issn | 0034-4877 1879-0674 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_963842832 |
| source | ScienceDirect Journals; Backfile Package - Physics General (Legacy) [YPA]; Backfile Package - Mathematics (Legacy) [YMT] |
| subjects | Algebra Lattices Mathematical analysis orthomodular lattices Quantum theory two-valued states varieties |
| title | Equational characterization for two-valued states in orthomodular quantum systems |
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