The trace formula with respect to the twisted Grover matrix of a mixed digraph
Takashi Komatsu, Sho Kubota, Norio Konno, Iwao Sato
TL;DR
This paper introduces a zeta function related to the twisted Grover matrix of a mixed digraph, providing exponential and determinant formulas, and derives a trace formula as an application.
Contribution
It defines a new zeta function for mixed digraphs with respect to the twisted Grover matrix and establishes formulas and a trace formula for it.
Findings
Derived exponential and determinant expressions for the zeta function.
Established a trace formula related to the twisted Grover matrix.
Provided new tools for analyzing properties of mixed digraphs.
Abstract
We define a zeta function woth respect to the twisted Grover matrix of a mixed digraph, and present an exponential expression and a determinant expression of this zeta function. As an application, we give a trace formula with respect to the twisted Grover matrix of a mixed digraph.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Graph theory and applications · Molecular spectroscopy and chirality