Quantum Search with Two-atom Collisions in Cavity QED

Abstract

We propose a scheme to implement two-qubit Grover's quantum search algorithm using Cavity Quantum Electrodynamics. Circular Rydberg atoms are used as quantum bits (qubits). They interact with the electromagnetic field of a non-resonant cavity . The quantum gate dynamics is provided by a cavity-assisted collision, robust against decoherence processes. We present the detailed procedure and analyze the experimental feasibility.

4 pages, 2 figures

References in corpus (3)

• Manipulating the Quantum State of an Electrical Circuit
• Coherent control of an atomic collision in a cavity
• Realization of generalized quantum searching using nuclear magnetic resonance

Cited by in corpus (28)

• Entangled states and collective nonclassical effects in two-atom systems
• Quantum quincunx in cavity quantum electrodynamics
• Simulation of a Heisenberg XY- chain and realization of a perfect state transfer algorithm using liquid nuclear magnetic resonance
• Generation of entangled states of two three-level atoms in cavity QED
• Universal Quantum Cloning in Cavity QED
• Cluster-type entangled coherent states
• Simple scheme for two-qubit Grover search in cavity QED
• Implementation of three-qubit Grover search in cavity QED
• Simple scheme for implementing the Deutsch-Jozsa algorithm in thermal cavity
• Dipole-dipole interaction in cavity-QED: perturbative regime
• Time-dependent Fröhlich transformation approach for two-atom entanglement generated by successive passage through a cavity
• Adiabatic entanglement in two-atom cavity QED
• Two-atom interaction energies with one atom in an excited state: van der Waals potentials vs. level shifts
• Break-up of Rydberg superatoms via dipole-dipole interactions
• Three qubit Grover's algorithm using superconducting quantum interference devices in cavity QED
• Alternative scheme for two-qubit conditional phase gate by adiabatic passage under dissipation
• Hybrid Quantum Computation
• Scheme for remote implementation of partially unknown quantum operation of two qubits in cavity QED
• Cavity-mediated long-range interaction for fast multiqubit quantum logic operations
• Analog Grover search by adiabatic passage in a cavity-laser-atom system
• Nonclassical Imaging for a quantum search of trapped ions
• Efficient generation of entangled photons by cavity QED
• Solution to Satisfiability problem by a complete Grover search with trapped ions
• Implementation of many-qubit Grover search with trapped ultracold ions
• Fixed-point quantum continuous search algorithm with optimal query complexity
• Single photon transfer controlled by excitation phase in a two-atom cavity system
• Cavity QED implementation of the multi-qubit refined Deutsch-Jozsa algorithm
• Implementation of quantum algorithms with resonant interactions