Exact analytical results for quantum walks on star graph
arXiv:0903.1149 · doi:10.1088/1751-8113/42/11/115205
Abstract
In this paper, we study coherent exciton transport of continuous-time quantum walks on star graph. Exact analytical results of the transition probabilities are obtained by means of the Gram-Schmidt orthonormalization of the eigenstates. Our results show that the coherent exciton transport displays perfect revivals and strong localization on the initial node. When the initial excitation starts at the central node, the transport on star graph is equivalent to the transport on a complete graph of the same size.
6 pages. Published in Journal of Physics A
References in corpus (12)
- Quantum Computation and Decision Trees
- Random walks on graphs: ideas, techniques and results
- Connecting the discrete and continuous-time quantum walks
- Quantum Walks on a Random Environment
- Continuous-time Quantum Walks on a Cycle Graph
- Quantum walks on quotient graphs
- Spacetime structures of continuous time quantum walks
- Efficiency of quantum and classical transport on graphs
- Slow transport by continuous time quantum walks
- Coherent transport on Apollonian networks and continuous-time quantum walks
- Continuous-time quantum walks on one-dimension regular networks
- Quantum transport on two-dimensional regular graphs
Cited by in corpus (18)
- Quantum walks: a comprehensive review
- Continuous-Time Quantum Walks: Models for Coherent Transport on Complex Networks
- Quantum walk-based search and centrality
- Pólya number of continuous-time quantum walks
- Quantum-classical distance as a tool to design optimal chiral quantum walk
- Continuous-time quantum walks in the presence of a quadratic perturbation
- Mixing and Decoherence in Continuous-time quantum walks on long-range interacting cycles
- Pseudo-Hermitian continuous-time quantum walks
- The effect of large-decoherence on mixing-time in Continuous-time quantum walks on long-range interacting cycles
- Short time behavior of continuous time quantum walks on graphs
- Biharmonic Distance and the Performance of Second-Order Consensus Networks with Stochastic Disturbances
- Disorder-free localisation in continuous-time quantum walks : Role of symmetries
- The extended star graph as a light-harvesting-complex prototype: excitonic absorption speedup by peripheral energy defect tuning
- Quantum vs Classical Birth and Death Processes; Exactly Solvable Examples
- Decoherence and classicalization of continuous-time quantum walks on graphs
- Local subgraph structure can cause localization in continuous-time quantum walk
- Enhancing the spreading of quantum walks on star graphs by additional bonds
- Universality of the fully connected vertex in Laplacian continuous-time quantum walk problems