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2025
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| Online Access: | https://doi.org/10.5281/zenodo.17808649 |
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| _version_ | 1866902173889069056 |
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| author | Roe, Paul |
| author_facet | Roe, Paul |
| contents | <p>8 This note introduces the RHEA-Λ family of reversible logic gates: a binary, ternary, and<br>9 pentary multi-radix gate topology designed for integration into the RHEA-UCM Hamiltonian<br>10 symbolic computation framework. Each Λ-gate is strictly bijective over its finite state space,<br>11 admits a triangular inverse, carries an internal glyph/entropy register, and provides a discrete<br>12 analogue of a measure-preserving Hamiltonian map. The construction does not rely on any<br>13 specific device physics, making it compatible with CMOS, reversible CMOS (RCMOS), adiabatic<br>14 variants, or alternative substrate implementations. This positions the RHEA-Λ gate family as<br>15 a general-purpose reversible primitive for future pentavalent RHEA-IC chips</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17808649 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The RHEA-Λ Family: 2 A Binary–Ternary–Pentary Reversible Gate for 3 Hamiltonian Symbolic Computation in the 4 RHEA-UCM Framework Roe, Paul <p>8 This note introduces the RHEA-Λ family of reversible logic gates: a binary, ternary, and<br>9 pentary multi-radix gate topology designed for integration into the RHEA-UCM Hamiltonian<br>10 symbolic computation framework. Each Λ-gate is strictly bijective over its finite state space,<br>11 admits a triangular inverse, carries an internal glyph/entropy register, and provides a discrete<br>12 analogue of a measure-preserving Hamiltonian map. The construction does not rely on any<br>13 specific device physics, making it compatible with CMOS, reversible CMOS (RCMOS), adiabatic<br>14 variants, or alternative substrate implementations. This positions the RHEA-Λ gate family as<br>15 a general-purpose reversible primitive for future pentavalent RHEA-IC chips</p> |
| title | The RHEA-Λ Family: 2 A Binary–Ternary–Pentary Reversible Gate for 3 Hamiltonian Symbolic Computation in the 4 RHEA-UCM Framework |
| url | https://doi.org/10.5281/zenodo.17808649 |