Pegg-Barnett phase eigenstates have negative Wigner-function volumes that grow with Hilbert-space dimension; a beam-splitter circuit with single-photon detection produces them, and the setup works for phase estimation even with lossy detectors.
Wigner, ‘On the quantum correction for thermodynamic equilibrium’, Phys
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Wigner functions, negativity volumes, and experimental generation of Pegg-Barnett phase-operator eigenstates
Pegg-Barnett phase eigenstates have negative Wigner-function volumes that grow with Hilbert-space dimension; a beam-splitter circuit with single-photon detection produces them, and the setup works for phase estimation even with lossy detectors.