sf.apps.similarity.event_cardinality

event_cardinality(photon_number, max_count_per_mode, modes)

Gives the number of samples belonging to the input event.

For example, for three modes, there are six samples in an \(E_{k=2, n_{\max}=2}\) event: [1, 1, 0], [1, 0, 1], [0, 1, 1], [2, 0, 0], [0, 2, 0], and [0, 0, 2].

Example usage:

>>> event_cardinality(2, 2, 3)
6

Parameters

• photon_number (int) – number of photons in the event

• max_count_per_mode (int) – maximum number of photons per mode in the event

• modes (int) – number of modes in counted samples

Returns

number of samples in the event

Return type

int

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