Directional correlations in quantum walks with two particles
arXiv:1102.4445 · doi:10.1088/1367-2630/13/3/033029
Abstract
Quantum walks on the line with a single particle possess a classical analog. Involving more walkers opens up the possibility to study collective quantum effects, such as many particle correlations. In this context, entangled initial states and indistinguishability of the particles play a role. We consider directional correlations between two particles performing a quantum walk on a line. For non-interacting particles we find analytic asymptotic expressions and give the limits of directional correlations. We show that introducing -interaction between the particles, one can exceed the limits for non-interacting particles.
References in corpus (32)
- Universal computation by quantum walk
- Quantum walks of correlated particles
- Spatial search by quantum walk
- Quantum Walk in Position Space with Single Optically Trapped Atoms
- Photons Walking the Line: A quantum walk with adjustable coin operations
- Realization of a quantum walk with one and two trapped ions
- Universal quantum computation using the discrete time quantum walk
- Discrete single-photon quantum walks with tunable decoherence
- Connecting the discrete and continuous-time quantum walks
- Quantum Walk on a Line with Two Entangled Particles
- Two-particle quantum walks applied to the graph isomorphism problem
- Optimizing the discrete time quantum walk using a SU(2) coin
- A random walk approach to quantum algorithms
- Optimized quantum random-walk search algorithms
- Survival Probabilities in Coherent Exciton Transfer with Trapping
- Limit distributions of two-dimensional quantum walks
- Quantum walks with infinite hitting times
- Quantum random walk of two photons in separable and entangled state
- Multi-walker discrete time quantum walks on arbitrary graphs, their properties, and their photonic implementation
- Recurrence properties of unbiased coined quantum walks on infinite -dimensional lattices
- Quantum searches on highly symmetric graphs
- Implementing the one-dimensional quantum (Hadamard) walk using a Bose-Einstein Condensate
- Recurrence of biased quantum walks on a line
- Wigner formula of rotation matrices and quantum walks
- Quantum search algorithms on a regular lattice
- Recurrences in three-state quantum walks on a plane
- Scattering quantum random-walk search with errors
- The meeting problem in the quantum random walk
- Maximal entanglement from quantum random walks
- Quantum Persistence: A Random Walk Scenario
- Generic quantum walk using a coin-embedded shift operator
- Localization and Fractality in Inhomogeneous Quantum Walks with Self-Duality
Cited by in corpus (20)
- Quantum walks: a comprehensive review
- Quantum Walk of Two Interacting Bosons
- Two quantum walkers sharing coins
- Limit distributions of three-state quantum walks: the role of coin eigenstates
- Beyond hard-core bosons in transmon arrays
- Quantum walk on distinguishable non-interacting many-particles and indistinguishable two-particle
- Floquet Anderson Localization of Two Interacting Discrete Time Quantum Walks
- Interacting quantum walkers: Two-body bosonic and fermionic bound states
- Dynamic conditioning of two particle discrete-time quantum walks
- Controlled Alternate Quantum Walks based Quantum Hash Function
- Quantum centipedes: collective dynamics of interacting quantum walkers
- Two-particle coined-quantum walk with long-range interaction
- M-Particle Quantum Walks with Delta-Interaction
- Discrete time quantum walk of locally interacting walkers
- Transport and Localization in Quantum Walks on a Random Hierarchy of Barriers
- Quantum walk on a square lattice with identical particles
- Quantum walks assisted by particle number fluctuations
- Persistence of unvisited sites in quantum walks on a line
- Generalized quantum teleportation of shared quantum secret with quantum walks
- Two-particle Hadamard walk on dynamically percolated line and circle