- class netket.hilbert.DiscreteHilbert#
Abstract class for an hilbert space defined on a lattice.
This class defines the common interface that can be used to interact with hilbert spaces on lattices.
Initializes a discrete Hilbert space with a basis of given shape.
Whether the local hilbert space is finite.
Whether the space can be indexed with an integer
The total dimension of the many-body Hilbert space. Throws an exception iff the space is not indexable.
The size of the hilbert space on every site.
The number number of degrees of freedom in the basis of this Hilbert space.
Returns all valid states of the Hilbert space.
Throws an exception if the space is not indexable.
- numbers_to_states(numbers, out=None)[source]#
Returns the quantum numbers corresponding to the n-th basis state for input n. n is an array of integer indices such that
numbers[k]=Index(states[k]). Throws an exception iff the space is not indexable.
Returns the hilbert space without the selected sites.
Not all hilbert spaces support this operation.
Iterable]) – a site or list of sites to trace away
- Return type:
The partially-traced hilbert space. The type of the resulting hilbert space might be different from the starting one.
- random_state(key=None, size=None, dtype=<class 'numpy.float32'>)#
Generates either a single or a batch of uniformly distributed random states. Runs as
random_state(self, key, size=None, dtype=np.float32)by default.
key – rng state from a jax-style functional generator.
int]) – If provided, returns a batch of configurations of the form
(size, N)if size is an integer or
(*size, N)if it is a tuple and where \(N\) is the Hilbert space size. By default, a single random configuration with shape
dtype – DType of the resulting vector.
- Return type:
A state or batch of states sampled from the uniform distribution on the hilbert space.
>>> import netket, jax >>> hi = netket.hilbert.Qubit(N=2) >>> k1, k2 = jax.random.split(jax.random.PRNGKey(1)) >>> print(hi.random_state(key=k1)) [1. 0.] >>> print(hi.random_state(key=k2, size=2)) [[0. 0.] [0. 1.]]
Size of the local degrees of freedom for the i-th variable.
Returns an iterator over all valid configurations of the Hilbert space. Throws an exception iff the space is not indexable. Iterating over all states with this method is typically inefficient, and
`all_states`should be preferred.
A list of discrete local quantum numbers at the site i. If the local states are infinitely many, None is returned.
Returns a tensor with the same shape of x, where all local values are converted to indices in the range 0…self.shape[i]. This function is guaranteed to be jax-jittable.
For the Fock space this returns x, but for other hilbert spaces such as Spin this returns an array of indices.
NOTE: This function is experimental. Use at your own risk.
- states_to_numbers(states, out=None)[source]#
Returns the basis state number corresponding to given quantum states. The states are given in a batch, such that states[k] has shape (hilbert.size). Throws an exception iff the space is not indexable.