Momentum-Driven Reversible Logic Accelerates Efficient Irreversible Universal Computation

Fuente: arXiv
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Autori principali: Tang, Kuen Wai, Ray, Kyle J., Crutchfield, James P.
Natura: Preprint
Pubblicazione: 2026
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author Tang, Kuen Wai
Ray, Kyle J.
Crutchfield, James P.
author_facet Tang, Kuen Wai
Ray, Kyle J.
Crutchfield, James P.
contents We present implementations of two physically-embedded computation-universal logical operations using a 2-bit logical unit composed of coupled quantum flux parametrons -- Josephson-junction superconducting circuits. To illustrate universality, we investigate NAND gates built from these two distinct elementary operations. On the one hand, Controlled Erasure (CE) is designed using fixed-point analysis and assumes that information must be stored in locally-metastable distributions. On the other, Erasure-Flip (EF) leverages momentum as a computational resource and significantly outperforms the metastable approach, simultaneously achieving higher fidelity and faster computational speed without incurring any additional energetic cost. Notably, the momentum degree of freedom allows the EF to achieve universality by using both nontrivial reversible and irreversible logic simultaneously in different logical subspaces. These results not only provide a practical, high-performance protocol ripe for experimental realization but also underscore the broader potential of momentum-based computing paradigms.
format Preprint
id arxiv_https___arxiv_org_abs_2602_07683
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Momentum-Driven Reversible Logic Accelerates Efficient Irreversible Universal Computation
Tang, Kuen Wai
Ray, Kyle J.
Crutchfield, James P.
Statistical Mechanics
Emerging Technologies
Adaptation and Self-Organizing Systems
We present implementations of two physically-embedded computation-universal logical operations using a 2-bit logical unit composed of coupled quantum flux parametrons -- Josephson-junction superconducting circuits. To illustrate universality, we investigate NAND gates built from these two distinct elementary operations. On the one hand, Controlled Erasure (CE) is designed using fixed-point analysis and assumes that information must be stored in locally-metastable distributions. On the other, Erasure-Flip (EF) leverages momentum as a computational resource and significantly outperforms the metastable approach, simultaneously achieving higher fidelity and faster computational speed without incurring any additional energetic cost. Notably, the momentum degree of freedom allows the EF to achieve universality by using both nontrivial reversible and irreversible logic simultaneously in different logical subspaces. These results not only provide a practical, high-performance protocol ripe for experimental realization but also underscore the broader potential of momentum-based computing paradigms.
title Momentum-Driven Reversible Logic Accelerates Efficient Irreversible Universal Computation
topic Statistical Mechanics
Emerging Technologies
Adaptation and Self-Organizing Systems
url https://arxiv.org/abs/2602.07683