The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories
Quantum mechanics has had an important influence on building computers;nowadays, quantum mechanics principles are used for the processing and transmission ofinformation. The Yang-Baxter equation is related to the universal gates from quantumcomputing and it realizes a unification of certain non-asso...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2014-11-01
|
| Series: | Axioms |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2075-1680/3/4/360 |
| _version_ | 1819163069341761536 |
|---|---|
| author | Radu Iordanescu Florin F. Nichita Ion M. Nichita |
| author_facet | Radu Iordanescu Florin F. Nichita Ion M. Nichita |
| author_sort | Radu Iordanescu |
| collection | DOAJ |
| description | Quantum mechanics has had an important influence on building computers;nowadays, quantum mechanics principles are used for the processing and transmission ofinformation. The Yang-Baxter equation is related to the universal gates from quantumcomputing and it realizes a unification of certain non-associative structures. Unifyingstructures could be seen as structures which comprise the information contained in other(algebraic) structures. Recently, we gave the axioms of a structure which unifies associativealgebras, Lie algebras and Jordan algebras. Our paper is a review and a continuation of thatapproach. It also contains several geometric considerations. |
| first_indexed | 2024-12-22T17:38:16Z |
| format | Article |
| id | doaj.art-e9eb0ff531cd40789b4a7d5fd4016a86 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-22T17:38:16Z |
| publishDate | 2014-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-e9eb0ff531cd40789b4a7d5fd4016a862022-12-21T18:18:28ZengMDPI AGAxioms2075-16802014-11-013436036810.3390/axioms3040360axioms3040360The Yang-Baxter Equation, (Quantum) Computers and Unifying TheoriesRadu Iordanescu0Florin F. Nichita1Ion M. Nichita2Simion Stoilow Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, Bucharest 010702, RomaniaSimion Stoilow Institute of Mathematics of the Romanian Academy, 21 Calea Grivitei Street, Bucharest 010702, RomaniaAsesoft International SA, Mihai Bravu Street, Nr. 10, 100550 Ploiesti, Prahova 100550, RomaniaQuantum mechanics has had an important influence on building computers;nowadays, quantum mechanics principles are used for the processing and transmission ofinformation. The Yang-Baxter equation is related to the universal gates from quantumcomputing and it realizes a unification of certain non-associative structures. Unifyingstructures could be seen as structures which comprise the information contained in other(algebraic) structures. Recently, we gave the axioms of a structure which unifies associativealgebras, Lie algebras and Jordan algebras. Our paper is a review and a continuation of thatapproach. It also contains several geometric considerations.http://www.mdpi.com/2075-1680/3/4/360universal gatequantum computerYang-Baxter equationJordan algebrasLie algebrasassociative algebras |
| spellingShingle | Radu Iordanescu Florin F. Nichita Ion M. Nichita The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories Axioms universal gate quantum computer Yang-Baxter equation Jordan algebras Lie algebras associative algebras |
| title | The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories |
| title_full | The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories |
| title_fullStr | The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories |
| title_full_unstemmed | The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories |
| title_short | The Yang-Baxter Equation, (Quantum) Computers and Unifying Theories |
| title_sort | yang baxter equation quantum computers and unifying theories |
| topic | universal gate quantum computer Yang-Baxter equation Jordan algebras Lie algebras associative algebras |
| url | http://www.mdpi.com/2075-1680/3/4/360 |
| work_keys_str_mv | AT raduiordanescu theyangbaxterequationquantumcomputersandunifyingtheories AT florinfnichita theyangbaxterequationquantumcomputersandunifyingtheories AT ionmnichita theyangbaxterequationquantumcomputersandunifyingtheories AT raduiordanescu yangbaxterequationquantumcomputersandunifyingtheories AT florinfnichita yangbaxterequationquantumcomputersandunifyingtheories AT ionmnichita yangbaxterequationquantumcomputersandunifyingtheories |