The fundamental noise limit of a
phase-preserving amplifier at frequency f is the
standard quantum limit Tq ~ hf/2kB. In the microwave range, the best
candidates have been amplifiers based on superconducting
quantum interference devices (reaching the noise
temperature Tn ~ 1.8Tq at 700 MHz), and
non-degenerate parametric amplifiers (reaching noise
levels close to the quantum limit Tn < Tq
at 8 GHz).
Rapid development has taken place in the field of quantum
amplifiers during the past years and experiments utilizing
these techniques are becoming more and more frequent. We
have investigated various approaches for realizing quantum
limited amplifiers, trying to optimize noise, dynamic
range, power tolerance, and band width. Furthermore, we
have developed converters based on quantum mechanical
principles as well as qubits for amplification of
optomechanical coupling.

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