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We consider the task of estimating the randomly fluctuating phase of acontinuous-wave beam of light. Using the theory of quantum parameterestimation, we show that this can be done more accurately when feedback is used(adaptive phase estimation) than by any scheme not involving feedback(non-adaptive phase estimation) in which the beam is measured as it arrives atthe detector. Such schemes not involving feedback include all those based onheterodyne detection or instantaneous canonical phase measurements. We alsodemonstrate that the superior accuracy adaptive phase estimation is present ina regime conducive to observing it experimentally.Comment: 15 pages, 9 figures, submitted to PR

Adaptive phase estimation is more accurate than nonadaptive phase estimation for continuous beams of light