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arXiv:1809.00516 · Annales Henri Poincaré

Indirect Measurements of a Harmonic Oscillator

Martin Fraas, Gian Michele Graf, Lisa Hänggli

Published Jun 20, 2019• 4 citations

arXiv HTML PDF

DOI: 10.1007/s00023-019-00817-z

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I

. Repeated measurement of the qubit leads to gradually increasing information on the quadrature

I

, leading to squeezing. We derive an analytical formula for the quadrature variance,

(ΔI)^2 = 1/(1+4ϕ^2 s)

, with

ϕ

the product of interaction strength and interaction time and

s

the number of repetitions of the measurement. We discuss the robustness of this scheme against decoherence. We find that this protocol could lead to significant squeezing in a realistic setup formed of a superconducting flux qubit used to measure an electrical or mechanical resonator.