Strong optical cross-phase modulation (XPM) for weak fields is tremendously important for optical quantum
information (QI) processing and for all-optical switches in classical communication. A sufficiently large XPM
would allow the design of deterministic controlled quantum gates for photonic qubits and thus enable universal
optical quantum computation. Recently, several proposals have been brought forward to create large XPM using
double electromagnetically induced transparency (DEIT) in which two weak signal light pulses travel at equally
slow group velocity, but creating DEIT still poses an experimental challenge.
We give a brief overview about DEIT and discuss its applications and limitations. A scheme that combines
the best features of previous proposals and optimizes the large XPM parameter for DEIT schemes is outlined.
Finally we devise a scheme to perform universal quantum information processing, which respects the bound on
the achievable nonlinearity and addresses the requirement of quantum error correction.
We show that single qubit quantum fingerprinting without shared
randomness is feasible with linear optics and is demonstrably
superior to its classical counterpart. Furthermore a shared source
of entanglement, provided for example by a parametric down
converter, permits 100% reliable quantum fingerprinting, which
outperforms classical fingerprinting even with arbitrary amounts
of shared randomness.
Starting form the first principles of nonrelativistic QED we have derived the system of Maxwell-Schrodinger equations, which can be used for theoretical description of atom optical phenomena at high densities of atoms and high intensities of the laser radiation. The role of multiple atomic transitions between ground and excited states in atom optics has been investigated. Nonlinear optical properties of interacting Bose gas are studied and formula for the refractive index has been derived.
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