Maximum-likelihood analysis of multiple quantum phase measurements

TY - JOUR

T1 - Maximum-likelihood analysis of multiple quantum phase measurements

AU - BRAUNSTEIN, SL

AU - LANE, AS

AU - CAVES, CM

PY - 1992/10/12

Y1 - 1992/10/12

N2 - Shapiro, Shepard, and Wong [Phys. Rev. Lett. 62, 2377 (1989)] suggested that a scheme of multiple phase measurements, using quantum states with minimum "reciprocal peak likelihood", could achieve a phase sensitivity scaling as 1/N(tot)2, where N(tot) is the mean number of photons available for all measurements. We have simulated their scheme for as many as 240 measurements and have found optimum phase sensitivities for 3 less-than-or-equal-to N(tot) less-than-or-equal-to 120. A power-law fit to the simulated data yields a phase sensitivity that scales as 1/N(tot)0.85+/-0.01. We conclude that reciprocal peak likelihood is not a good measure of sensitivity.

AB - Shapiro, Shepard, and Wong [Phys. Rev. Lett. 62, 2377 (1989)] suggested that a scheme of multiple phase measurements, using quantum states with minimum "reciprocal peak likelihood", could achieve a phase sensitivity scaling as 1/N(tot)2, where N(tot) is the mean number of photons available for all measurements. We have simulated their scheme for as many as 240 measurements and have found optimum phase sensitivities for 3 less-than-or-equal-to N(tot) less-than-or-equal-to 120. A power-law fit to the simulated data yields a phase sensitivity that scales as 1/N(tot)0.85+/-0.01. We conclude that reciprocal peak likelihood is not a good measure of sensitivity.

U2 - 10.1103/PhysRevLett.69.2153

DO - 10.1103/PhysRevLett.69.2153

M3 - Article

SN - 0031-9007

VL - 69

SP - 2153

EP - 2156

JO - Physical Review Letters

JF - Physical Review Letters

IS - 15

ER -