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We report on the total noise from an inductive motion transducer for agravitational-wave antenna. The transducer uses a two-stage SQUID amplifier andhas a noise temperature of 1.1 mK, of which 0.70 mK is due to back-action noisefrom the SQUID chip. The total noise includes thermal noise from the transducermass, which has a measured Q of 2.60 X 10^6. The noise temperature exceeds theexpected value of 3.5 \mu K by a factor of 200, primarily due to voltage noiseat the input of the SQUID. Noise from flux trapped on the chip is found to bethe most likely cause.Comment: Accepted by Applied Physics Letters tentatively scheduled for March  13, 200

Two-stage superconducting-quantum-interference-device amplifier in a high-Q gravitational wave transducer