Table 2 The parallel hyperfine coupling strengths \({A}_{\parallel }^{i}\), initialization fidelity Fe, Rabi period T2π = 2πR,e and inter-pulse spacing τ are fixed parameters in the fit of the XY(τN) measurements from the main text Fig. 2d to extract the Larmor frequency ωL,n and the perpendicular hyperfine components \({A}_{\perp }^{i}\)

From: Bipartite entanglement in a nuclear spin register mediated by a quasi-free electron spin

Fe(τ)

τ μs

T2π(ns)

\({A}_{\parallel }^{i}/2\pi\)(kHz)

ωL,n/2π(kHz)

\({A}_{\perp }^{i}/2\pi\)(kHz)

0.8322

8.391

228

1194 kHz

3.582 518(11) MHz

233.19(81)

0.8347

8.392

 

420 kHz

 

147.7(15)

0.8405

8.393

 

121 kHz

 

75.5(35)

0.8523

8.394

 

34 kHz

 

46.8(44)

0.8528

8.395

    

0.8402

8.396

    

0.8341

8.397

    

0.847

8.398

    

0.8302

8.399

    

0.8129

8.400

    

0.8089

8.401

    

0.845

8.402

    

0.875

8.403

    

0.8419

8.404