Vacuum induced Stark shifts for quantum logic using a collective system in a high quality dispersive cavity

Abstract

A collective system of atoms in a high quality cavity can be described by a nonlinear interaction which arises due to the Lamb shift of the energy levels due to the cavity vacuum [Agarwal et al., Phys. Rev. A 56, 2249 (1997)]. We show how this collective interaction can be used to perform quantum logic. In particular we produce schemes to realize CNOT gates not only for two-qubit but also for three-qubit systems. We also discuss realizations of Toffoli gates. Our effective Hamiltonian is also realized in other systems such as trapped ions or magnetic molecules.

References in corpus (20)

• Elementary gates for quantum computation
• The Physical Implementation of Quantum Computation
• Measurement of conditional phase shifts for quantum logic
• Experimental realization of a quantum algorithm
• Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
• Nonlocal properties of two-qubit gates and mixed states and optimization of quantum computations
• State-Insensitive Cooling and Trapping of Single Atoms in an Optical Cavity
• Generation of entangled states for many multilevel atoms in a thermal cavity and ions in thermal motion
• Quantum computation with trapped ions in an optical cavity
• Generation of many-particle entanglement in an ion trap by adiabatic ground-state transitions
• Quantum logic gates using Stark shifted Raman transitions in a cavity
• Quantum Information Processing in Strongly Detuned Optical Cavities
• Coherence-preserving trap architecture for long-term control of giant Rydberg atoms
• Purifying two-bit quantum gates and joint measurements in cavity QED
• Quantum logic between atoms inside a high Q optical cavity
• A conditional quantum phase gate between two 3-state atoms
• Experimental demonstration of a controlled-NOT wave-packet gate
• Transfer of an unknown quantum state, quantum networks, and memory
• Diabolical Points in Magnetic Molecules: An Exactly Solvable Model
• Quantum phase gate with a selective interaction

Cited by in corpus (9)

• Large conditional single-photon cross-phase modulation
• One-step implementation of multiqubit phase gate with one control qubit and multiple target qubits in coupled cavities
• Single-step implementation of a multiple-target-qubit controlled phase gate without need of classical pulses
• High-fidelity entanglement purification using chains of atoms and optical cavities
• Dynamical entanglement purification using chains of atoms and optical cavities
• Cavity-mediated long-range interaction for fast multiqubit quantum logic operations
• Effects of interatomic interaction on cooperative relaxation of two-level atoms
• Dynamical quantum repeater using cavity-QED and optical coherent states
• Simplify proposal for realizing multiqubit tunable phase gate in circuit QED