Quantum random walks on congested lattices and the effect of dephasing
Explore this paper's citation graph
Summary
This work considers quantum random walks on congested lattices and contrast them to classical random walks, showing that a quantum walker escapes a finite boundary dramatically faster than a classical walker and that this advantage remains in the presence of heavily congesting lattices.
- Type
- article
- Published
- 2013-10-30
- Cited by
- 9
- References
- 39
- Access
- Open access
- OpenAlex
- https://openalex.org/W12394107
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:12328707
Keywords
Dephasing, Quantum walk, Random walk, Quantum, Statistical physics
References
- Performance of continuous time quantum walks under phase damping
- Contribution of Clusters Physics to Materials Science and Technology
- Quantum random walks.
- Quantum Computation and Quantum Information
- Two-particle bosonic-fermionic quantum walk via integrated photonics.
- Discrete single-photon quantum walks with tunable decoherence.
- A 2D Quantum Walk Simulation of Two-Particle Dynamics
- QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
- Decoherence and disorder in quantum walks: from ballistic spread to localization.
- Two-particle quantum walks: Entanglement and graph isomorphism testing
- Percolation in two-dimensional lattices. I. A technique for the estimation of thresholds.
- Two-particle quantum walks applied to the graph isomorphism problem
- Realization of quantum walks with negligible decoherence in waveguide lattices.
- Asymptotic dynamics of coined quantum walks on percolation graphs.
- Photons walking the line: a quantum walk with adjustable coin operations.
- Quantum walks: a comprehensive review
- Increasing the Dimensionality of Quantum Walks Using Multiple Walkers
- A fast quantum mechanical algorithm for database search
- Quantum Walks of Correlated Photons
- Two-photon quantum walks in an elliptical direct-write waveguide array
Cited by
- Discrete time quantum walks on percolation graphs
- Single-point position and transition defects in continuous time quantum walks
- Dynamics of quantum coherence in two-dimensional quantum walk on finite lattices
- Routes Towards Optical Quantum Technology --- New Architectures and Applications
- Coherence evolution in two-dimensional quantum walk on lattice
- Two types of weight-dependent walks with a trap in weighted scale-free treelike networks
- Staggered quantum walk on hexagonal lattices
- Construction of distinct discrete time scattering quantum walk formulations on the honeycomb lattice
- The average trapping time on a half Sierpinski Gasket