Quantum state tomography of an itinerant squeezed microwave field
F. Mallet, M. A. Castellanos-Beltran, H. S. Ku, S. Glancy, E. Knill,, K. D. Irwin, G. C. Hilton, L. R. Vale, K. W. Lehnert

TL;DR
This paper demonstrates quantum state tomography of an itinerant squeezed microwave field using Josephson parametric amplifiers, achieving improved measurement efficiency and revealing significant squeezing below vacuum noise.
Contribution
It introduces a method to perform state tomography of itinerant microwave squeezed states with enhanced quantum efficiency using a second JPA for pre-amplification.
Findings
Quantum efficiency improved from 2% to 36% using a second JPA.
Minimum quadrature variance observed at 69% of vacuum variance.
Reconstructed state shows a minimum variance less than 40% of vacuum.
Abstract
We perform state tomography of an itinerant squeezed state of the microwave field prepared by a Josephson parametric amplifier (JPA). We use a second JPA as a pre-amplifier to improve the quantum efficiency of the field quadrature measurement (QM) from 2% to 36 +/- 4%. Without correcting for the detection inefficiency we observe a minimum quadrature variance which is 69 +/- 8% of the variance of the vacuum. We reconstruct the state's density matrix by a maximum likelihood method and infer that the squeezed state has a minimum variance less than 40% of the vacuum, with uncertainty mostly caused by calibration systematics.
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