Table 1 SNAIL-terminated resonator parameters at zero magnetic flux and near the Kerr-free point.

From: Resolving Fock states near the Kerr-free point of a superconducting resonator

Φext/Φ0

ωs/2π

Qs

γs/2π

Ts

 

GHz

 

kHz

μs

0

5.14

2.23 × 105

23

6.92

0.386

4.31

3.86 × 104

112

1.42

  1. The values are extracted from a transmission coefficient measurement on a SNAIL-terminated resonator coupled to a transmission line. We have γs = 1/Ts = ωs/Qs where γs, Ts, ωs and Qs are the resonator intrinsic decoherence rate, coherence time, frequency and the internal Q value, respectively. The intrinsic decoherence rate is given by \({\gamma }_{{{{\rm{s}}}}}=\frac{{{{\Gamma }}}_{1}}{2}+{{{\Gamma }}}_{\phi }\) where the intrinsic relaxation rate \({{{\Gamma }}}_{1}=\frac{1}{{T}_{1}}\) with the lifetime T1 and the pure dephasing rate \({{{\Gamma }}}_{\phi }=\frac{1}{{T}_{\phi }}\) with the pure dephasing time Tϕ.
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