Name
Abstract | ||
|---|---|---|
We present an explicit formula for the characteristic polynomial of the transition matrix of the discrete-time quantum walk on a graph via the second weighted zeta function. As applications, we obtain new proofs for the results on spectra of the transition matrix and its positive support. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1007/s11128-011-0250-1 | Quantum Information Processing |
Keywords | Field | DocType |
Quantum walk,Transition matrix,Ihara zeta function,05C50,05C60,81P68 | Characteristic polynomial,Riemann zeta function,Quantum mechanics,Ihara zeta function,Polylogarithm,Pure mathematics,Quantum walk,Arithmetic zeta function,Matrix polynomial,Zeta distribution,Physics | Journal |
Volume | Issue | ISSN |
11 | 2 | Quantum Information Processing, Vol.11, No.2, pp.341-349 (2012) |
Citations | PageRank | References |
3 | 0.48 | 6 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Norio Konno | 1 | 125 | 29.90 |
| Iwao Sato | 2 | 75 | 22.91 |