CTM/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato
TL;DR
This paper introduces a zeta function for continuous-time models, extending previous work on discrete-time models like random and quantum walks, and explores their properties on a d-dimensional torus.
Contribution
The paper develops a new zeta function for continuous-time models and analyzes their behavior on the d-dimensional torus, bridging discrete and continuous frameworks.
Findings
Defined a zeta function for CTMs
Analyzed properties of CTMs on the d-dimensional torus
Extended previous discrete-time models to continuous-time context
Abstract
In our previous work, we investigated the relation between zeta functions and discrete-time models including random and quantum walks. In this paper, we introduce a zeta function for the continuous-time model (CTM) and consider CTMs including the corresponding random and quantum walks on the d-dimensional torus.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum-Dot Cellular Automata