Quantum search with a continuous-time quantum walk in momentum space
arXiv:2002.09139 · doi:10.1088/1361-6455/ab63ad
Abstract
The atom-optics kicked rotor can be used to prepare specific momentum distributions on a discrete basis set. We implement a continuous-time quantum walk and a quantum search protocol in this momentum basis. In particular we propose ways to identify a specific marked state from the final momentum distribution after the walker's evolution. Our protocol is guided by current experimental possibilities making it accessible to experimentally implemented quantum walks with Bose-Einstein condensates.
References in corpus (25)
- Quantum Mechanics helps in searching for a needle in a haystack
- Strengths and Weaknesses of Quantum Computing
- Quantum Computation and Decision Trees
- A Quantum Random Walk Search Algorithm
- Quantum algorithms: an overview
- Spatial search by quantum walk
- An example of the difference between quantum and classical random walks
- Faster quantum walk algorithm for the two dimensional spatial search
- Experimental Realization of Quantum-Resonance Ratchets
- Quantum resonances and decoherence for delta-kicked atoms
- Recurrence and Pólya number of quantum walks
- Experimental Observation of Two-Dimensional Anderson Localization with the Atomic Kicked Rotor
- Quantum Walk in Momentum Space with a Bose-Einstein Condensate
- Exploring the phase space of the quantum delta kicked accelerator
- Experimental realisation of a delayed-choice quantum walk
- Directed motion for delta-kicked atoms with broken symmetries: comparison between theory and experiment
- Experimental observation of high-order quantum accelerator modes
- Experimental Realization of a Quantum Ratchet Through Phase Modulation
- Experimental realization of a momentum-space quantum walk
- Dynamical tunneling of a Bose-Einstein condensate in periodically driven systems
- Hamiltonian ratchets with ultra-cold atoms
- Saturation of fidelity in the atom-optics kicked rotor
- Quantum walk of a Bose-Einstein condensate in the Brillouin zone
- Steering random walks with kicked ultracold atoms
- Applications of fidelity measures to complex quantum systems
Cited by in corpus (8)
- Spatial Search on Johnson Graphs by Continuous-Time Quantum Walk
- Continuous-time quantum walks in the presence of a quadratic perturbation
- Walking on Vertices and Edges by Continuous-Time Quantum Walk
- Multimarked Spatial Search by Continuous-Time Quantum Walk
- Amplitude Amplification and Estimation using a Floquet system
- Impact of Bivariate Gaussian Potentials on Quantum Walks for Spatial Search
- Light-shift induced behaviors observed in momentum-space quantum walks
- Implementation of Continuous-Time Quantum Walks on Quantum Computers