A Quantum Phase Representation of Heisenberg Limits and a Minimally Resourced Quantum Phase Estimator

Scott Roger Shepard, Frederick Ira Moxley III, Jonathan P. Dowling

Within the quantum phase representation we derive Heisenberg limits, in closed form, for N00N states and two other classes of states that can outperform these in terms of local performance metrics relevant for multiply-peaked distributions. One of these can also enhance the super-resolution factor beyond that of a N00N state of the same power, at the expense of diminished fringe visibility. An accurate phase estimation algorithm, which can be applied to the minimally resourced apparatus of a standard interferometer, is shown to be resilient to the presence of additive white-Gaussian noise.



See: arXiv:1403.2313