Figure 4

(a) Simulated frequency multiplexed signal for ¹³C-Glycine molecule consisting of Larmor precessions given by two Zeeman shifts ω_1,2, with Zeeman splitting Δω = ω₁ − ω₂ = 10 kHz⁴¹ and N = 1000 points. (b) Typical probability distribution for multiple phase estimation, different tones correspond to increased number of random sample points given by n_k = n₀2^k, with k = 0, 1, …, 10. (c) Precision scaling () vs. total time resources (T). The precision using CS scales as ≈ 1/T^0.8 (blue line). The Heisenberg limit (1/T) is indicated with a black solid line. Red dots correspond to the Shot-Noise limit (1/T^0.5) set by the standard measurement. Maximum precision gain via CS reconstruction is obtained for k = 6.