qiskit.quantum_info.shannon_entropy

shannon_entropy(pvec, base=2)

Compute the Shannon entropy of a probability vector.

The shannon entropy of a probability vector $\vec{p} = [p_0, ..., p_{n-1}]$ is defined as

where $b$ is the log base and (default 2), and $0 \log_b(0) \equiv 0$.

Parameters

• pvec (array_like) – a probability vector.
• base (int) – the base of the logarithm [Default: 2].

Returns

The Shannon entropy H(pvec).

Return type

float