qml.devices.default_gaussian.fock_prob¶

fock_prob(cov, mu, event, hbar=2.0)[source]¶

Returns the probability of detection of a particular PNR detection event.

For more details, see:

• Kruse, R., Hamilton, C. S., Sansoni, L., Barkhofen, S., Silberhorn, C., & Jex, I. “A detailed study of Gaussian Boson Sampling.” arXiv:1801.07488. (2018).

• Hamilton, C. S., Kruse, R., Sansoni, L., Barkhofen, S., Silberhorn, C., & Jex, I. “Gaussian boson sampling.” Physical review letters, 119(17), 170501. (2017).

Parameters

• cov (array) – $2N\times 2N$ covariance matrix

• mu (array) – length-$2N$ means vector

• event (array) – length-$N$ array of non-negative integers representing the PNR detection event of the multi-mode system.

• hbar (float) – (default 2) the value of $\hbar$ in the commutation relation $[\x,\p]=i\hbar$.

Returns

probability of detecting the event

Return type

float