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Abstract
We show that when a suitable entanglement generating unitary operator depending on
a parameter is applied on N qubits in parallel, and an appropriate observable is measured,
a precision of order 2 raised to the power (-N) in estimating the parameter may be
achieved. This exponentially improves the precision achievable in classical and in
quantum non-entangling parallel strategies. We propose a quantum-optics model of laser
light interacting with an N-qubit system, say a polyatomic molecule, via a generalized
Jaynes-Cummings interaction which, in principle, could achieve the exponentially enhanced
precision.