We consider an analogue of the well-known Riemann Hypothesis based on quantum walks on graphs with the help of the Konno-Sato theorem. Furthermore, we give some examples for complete, cycle, and star graphs.Comment: 14 pages, minor corrections, Quantum Studies: Mathematics and Foundations (in press
In this paper, we consider a continuous-time quantum walk based search algorithm. We introduce equit...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
This paper gives the quantum walks determined by graph zeta functions. The result enables us to obta...
The Ronkin function was defined by Ronkin in the consideration of the zeros of almost periodic funct...
We provide an introductory review of some topics in spectral theory of Laplacians on metric graphs. ...
One of the most famous problems in mathematics is the Riemann hypothesis: that the nontrivial zeros ...
One of the most famous problems in mathematics is the Riemann hypothesis: that the nontrivial zeros ...
After Professor Ihara defined the Ihara zeta function in 1966, the Ihara zeta function was studied i...
We consider a discrete-time quantum walk, called the Grover walk, on a distance regular graph $X$. G...
International audienceThe convergence time of a random walk on a graph towards its stationary distri...
Quantum walks exhibit properties without classical analogues. One of those is the phenomenon of asym...
International audienceThe convergence time of a random walk on a graph towards its stationary distri...
International audienceThe convergence time of a random walk on a graph towards its stationary distri...
We develop the theory of pretty good fractional revival in quantum walks on graphs using their Lapla...
In this paper, we consider a continuous-time quantum walk based search algorithm. We introduce equit...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
This paper gives the quantum walks determined by graph zeta functions. The result enables us to obta...
The Ronkin function was defined by Ronkin in the consideration of the zeros of almost periodic funct...
We provide an introductory review of some topics in spectral theory of Laplacians on metric graphs. ...
One of the most famous problems in mathematics is the Riemann hypothesis: that the nontrivial zeros ...
One of the most famous problems in mathematics is the Riemann hypothesis: that the nontrivial zeros ...
After Professor Ihara defined the Ihara zeta function in 1966, the Ihara zeta function was studied i...
We consider a discrete-time quantum walk, called the Grover walk, on a distance regular graph $X$. G...
International audienceThe convergence time of a random walk on a graph towards its stationary distri...
Quantum walks exhibit properties without classical analogues. One of those is the phenomenon of asym...
International audienceThe convergence time of a random walk on a graph towards its stationary distri...
International audienceThe convergence time of a random walk on a graph towards its stationary distri...
We develop the theory of pretty good fractional revival in quantum walks on graphs using their Lapla...
In this paper, we consider a continuous-time quantum walk based search algorithm. We introduce equit...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
We study Schr\"odinger operators on compact finite metric graphs subject to $\delta$-coupling and st...
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