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We show that back-action noise in interferometric measurements such asgravitational-waves detectors can be completely suppressed by a local controlof mirrors motion. An optomechanical sensor with an optimized measurementstrategy is used to monitor mirror displacements. A feedback loop theneliminates radiation-pressure effects without adding noise. This very efficienttechnique leads to an increased sensitivity for the interferometricmeasurement, which becomes only limited by phase noise. Back-actioncancellation is furthermore insensitive to losses in the interferometer.Comment: 4 pages, 3 figures, RevTe

Back-action cancellation in interferometers by quantum locking