21 research outputs found
Hyperbolic phase and squeeze-parameter estimation
We define a new representation, the hyperbolic phase representation, which enables optimal estimation of a squeeze parameter in the sense of quantum estimation theory. We compare the signal-to-noise ratio for such measurements, with conventional measurement based on photon counting and homodyne detection. The signal-to-noise ratio for hyperbolic phase measurements is shown to increase quadratically with the squeezing parameter for fixed input power
Exact uncertainty relations: physical significance
The Heisenberg inequality \Delta X \Delta P \geq \hbar/2 can be replaced by
an exact equality, for suitably chosen measures of position and momentum
uncertainty, which is valid for all wavefunctions. The statistics of
complementary observables are thus connected by an ``exact'' uncertainty
relation.Comment: Latex, 24 pages. This a substantially shortened version of
quant-ph/0103072, with less technical detail and focusing on physical conten