Measuring the canonical phase with phase-space measurements
: Pellonpaa JP, Schultz J
Publisher: AMER PHYSICAL SOC
: 2013
: Physical Review A
: PHYSICAL REVIEW A
: PHYS REV A
: ARTN 012121
: 1
: 88
: 1
: 7
: 1050-2947
DOI: https://doi.org/10.1103/PhysRevA.88.012121
We study measurements of single-mode phase observables with emphasis on the canonical phase. We focus on the class of phase-shift covariant phase-space observables, which then yield the phase observables as the angle margins after integrating over the radial part. We consider the possibility of measuring such observables by using a double homodyne detector and its modification. We show that, in principle, the canonical phase distribution of the signal state can be measured via double homodyne detection by first processing the state using a two-mode unitary channel.