mercurial.core.state_space module

Hilbert space representation of the neutral substrate.

class mercurial.core.state_space.HilbertSpace(dimension: int, basis: ndarray | None = None)

Bases: object

Represents the substrate state space X.

Attributes:

basis

Methods

distance(x, y)	Compute distance d_X(x, y).
inner_product(x, y)	Compute inner product ⟨x|y⟩.
norm(x)	Compute norm ||x||.

basis: ndarray | None = None

dimension: int

distance(x: ndarray, y: ndarray) → float

Compute distance d_X(x, y).

inner_product(x: ndarray, y: ndarray) → float

Compute inner product ⟨x|y⟩.

norm(x: ndarray) → float

Compute norm ||x||.

class mercurial.core.state_space.StateVector(space: HilbertSpace, components: ndarray, t: float = 0.0)

Bases: object

State vector x(t) in Hilbert space.

Methods

copy
norm
normalize

copy() → StateVector

norm() → float

normalize() → StateVector