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Quantum trajectories and quantum control: theory and cavity-QED experiment

Howard M. Wiseman, Prahlad Warszawski, Joseph E. Reiner, Wade P. Smith, Stefan Kuhr, Luis A. Orozco

Published Jan 1, 2003• 0 citations
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Summary form only given. I apply quantum trajectory theory to the recent Stony-Brook cavity QED experiment demonstrating waveparticle duality. I show that the left half of the fractional correlation function he measured in that experiment can be recast as a dynamical weak value. The system consists of a damped cavity, very weakly driven, through which a beam of resonant atoms pass. The weak measurement is a homodyne measurement, the initial system state is the steady state, and the ensemble is post-selected on the detection of a photon from the cavity.
We study the possibility of an implementation of N-qubit (N>3) Grover search in cavity QED, based on a fast operation of N-qubit controlled phase-flip with atoms in resonance with the cavity mode. We demonstrate both analytically and numerically that, our scheme could be achieved efficiently to find a marked state with high fidelity and high success probability. As cavity decay is involved in our quantum trajectory treatment, we could analytically understand the implementation of a Grover search subject to dissipation, which would be very helpful for relevant experiments.