Table 2 In the cases of frequency detunings, where \(\omega - \omega_{c} = \kappa /2\) [QD1, QD2, and QD3] and \(\omega - \omega_{c} = 0\) [QD4 and QD5], the values of the reflection \(R_{{\text{h}}} \left( {R_{{0}} } \right)\), noise \(N_{{\text{h}}}\), and leakage \(S_{{\text{h}}} \left( {S_{{0}} } \right)\) coefficients in hot (cold) cavity were calculated for the differences in the side-leakage rate \(\kappa_{s} {/}\kappa\) and the coupling strength \(g{/}\kappa\), with fixed parameters \(\gamma {/}\kappa = 0.1\) and \(\omega_{{{\text{X}}^{ - } }} = \omega_{c}\).

From: Encoding scheme using quantum dots for single logical qubit information onto four-photon decoherence-free states

\(\omega - \omega_{c}\)

\(\gamma /\kappa = 0.1\)

Reflection, noise, and leakage coefficients

Hot cavity

Cold cavity

\(g/\kappa\)

\(\kappa_{s} /\kappa\)

\(R_{{\text{h}}} \left( \omega \right)\)

\(N_{{\text{h}}} \left( \omega \right)\)

\(S_{{\text{h}}} \left( \omega \right)\)

\(R_{{0}} \left( \omega \right)\)

\(S_{{0}} \left( \omega \right)\)

\(\kappa /2\)

2.4

0.01

0.99 + 0.09i

0.14 + 0.01i

0.00 + 0.01i

0.00–0.99i

− 0.10–0.10i

1.00

0.98 + 0.09i

0.14 + 0.01i

− 0.02 + 0.09i

0.20–0.40i

− 0.80–0.40i

2.00

0.98 + 0.09i

0.13 + 0.02i

− 0.03 + 0.12i

0.40–0.20i

− 0.85–0.28i

0.1

0.01

− 0.04–0.98i

− 0.05 + 0.07i

− 0.10–0.10i

0.00–0.99i

− 0.10–0.10i

1.00

0.19–0.39i

− 0.02 + 0.05i

− 0.81–0.39i

0.20–0.40i

− 0.80–0.40i

2.00

0.40–0.19i

− 0.01 + 0.04i

− 0.85–0.27i

0.40–0.20i

− 0.85–0.28i

\(0\)

2.4

0.01

0.9914

0.1312

− 0.0008

− 0.9802

− 0.1980

1.00

0.9914

0.1306

− 0.0086

0.0000

− 1.0000

2.00

0.9914

0.1301

− 0.0121

0.3333

− 0.9428

0.1

0.01

− 0.4184

0.8971

− 0.1418

− 0.9802

− 0.1980

1.00

0.1667

0.5270

− 0.8333

0.0000

− 1.0000

2.00

0.4118

0.3720

− 0.8319

0.3333

− 0.9428