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We report on the total noise from an inductive motion transducer for a gravitational-wave antenna. The transducer uses a two-stage superconducting quantum interference device (SQUID) amplifier and has a noise temperature of 1.1 mK, of which 0.70 mK is due to back action noise from the SQUID chip. The total noise includes thermal noise from the transducer mass, which has a measured Q of 2.60×106. The noise temperature exceeds the expected value of 3.5 μK by a factor of 200, primarily due to voltage noise at the input of the SQUID. Noise from flux trapped on the chip is found to be the most likely cause.
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