Implementation of finite state logic machines via the dynamics of atomic systems
Following the success of Moore’s predictions, we are approaching a limit in the miniaturization of semiconductors for computing materials. This has led to the exploration of various research paths in search of alternative computing paradigms, such as quantum computing, 3D transistors, molecular logi...
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| Language: | English |
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Elsevier
2025-02-01
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| Series: | Results in Optics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666950125000173 |
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| author | Dawit Hiluf Hailu |
| author_facet | Dawit Hiluf Hailu |
| author_sort | Dawit Hiluf Hailu |
| collection | DOAJ |
| description | Following the success of Moore’s predictions, we are approaching a limit in the miniaturization of semiconductors for computing materials. This has led to the exploration of various research paths in search of alternative computing paradigms, such as quantum computing, 3D transistors, molecular logic, and continuous logic. In this context, we propose a novel approach in which the dynamics of a two-level atom is used to execute classical Boolean logic operations. Unlike traditional combinational logic circuits, where the output depends solely on the input, we suggest a finite-state machine-like computing model, where the output is influenced by both the input and the system’s initial state. The proposed mechanism leverages the dynamics of a two-level quantum state, with information encoded in observable quantities. These observables, the density matrix’s population (diagonal) and coherence (off-diagonal) elements, were analyzed using the Liouville equation. The selection of observables within the Liouville space allows us to encode more variables. Although environmental noise may cause some loss of encoded information, fast computations can still be performed before it dissipates. In addition, logic operations can be read in parallel, enabling complex computations. This system can also be scaled to an N-level configuration. |
| format | Article |
| id | doaj-art-fd3f0024b2d0488d94c5b30ab1f0501d |
| institution | Kabale University |
| issn | 2666-9501 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Optics |
| spelling | doaj-art-fd3f0024b2d0488d94c5b30ab1f0501d2025-02-04T04:10:39ZengElsevierResults in Optics2666-95012025-02-0118100789Implementation of finite state logic machines via the dynamics of atomic systemsDawit Hiluf Hailu0Department of Natural Sciences, Bowie State University, 14000 Jericho Park Road, Bowie, MD 20715-9465, USAFollowing the success of Moore’s predictions, we are approaching a limit in the miniaturization of semiconductors for computing materials. This has led to the exploration of various research paths in search of alternative computing paradigms, such as quantum computing, 3D transistors, molecular logic, and continuous logic. In this context, we propose a novel approach in which the dynamics of a two-level atom is used to execute classical Boolean logic operations. Unlike traditional combinational logic circuits, where the output depends solely on the input, we suggest a finite-state machine-like computing model, where the output is influenced by both the input and the system’s initial state. The proposed mechanism leverages the dynamics of a two-level quantum state, with information encoded in observable quantities. These observables, the density matrix’s population (diagonal) and coherence (off-diagonal) elements, were analyzed using the Liouville equation. The selection of observables within the Liouville space allows us to encode more variables. Although environmental noise may cause some loss of encoded information, fast computations can still be performed before it dissipates. In addition, logic operations can be read in parallel, enabling complex computations. This system can also be scaled to an N-level configuration.http://www.sciencedirect.com/science/article/pii/S2666950125000173Molecular LogicSU(2)Lie algebraLight matter Interaction |
| spellingShingle | Dawit Hiluf Hailu Implementation of finite state logic machines via the dynamics of atomic systems Results in Optics Molecular Logic SU(2) Lie algebra Light matter Interaction |
| title | Implementation of finite state logic machines via the dynamics of atomic systems |
| title_full | Implementation of finite state logic machines via the dynamics of atomic systems |
| title_fullStr | Implementation of finite state logic machines via the dynamics of atomic systems |
| title_full_unstemmed | Implementation of finite state logic machines via the dynamics of atomic systems |
| title_short | Implementation of finite state logic machines via the dynamics of atomic systems |
| title_sort | implementation of finite state logic machines via the dynamics of atomic systems |
| topic | Molecular Logic SU(2) Lie algebra Light matter Interaction |
| url | http://www.sciencedirect.com/science/article/pii/S2666950125000173 |
| work_keys_str_mv | AT dawithilufhailu implementationoffinitestatelogicmachinesviathedynamicsofatomicsystems |