netket_foundation.operator.PauliStringsJax

class netket_foundation.operator.PauliStringsJax(hilbert, operators=None, weights=None, *, cutoff=1e-10, dtype=None)

Jax-compatible version of netket.operator.PauliStringsNumba.

Parameters:

• hilbert (AbstractHilbert)

• operators (None | str | list[str])

• weights (None | float | complex | list[float | complex])

• cutoff (float)

• dtype (None | str | type[Any] | dtype | _SupportsDType)

__init__(hilbert, operators=None, weights=None, *, cutoff=1e-10, dtype=None)

Constructs a new PauliStrings operator given a set of Pauli operators. This class has two possible forms for initialization: PauliStrings(hilbert, operators, ...) or PauliStrings(operators, ...). When no hilbert argument is passed, the hilbert defaults to Qubit, where the number of qubits is automatically deduced from the operators.

Parameters:

• hilbert (AbstractHilbert) – A hilbert space, optional (is no AbstractHilbert is passed, default is Qubit)

• operators (None | str | list[str]) – A list of Pauli operators in string format, e.g. [‘IXX’, ‘XZI’].

• weights (None | float | complex | list[float | complex]) – A list of amplitudes of the corresponding Pauli operator.

• cutoff (float) – a cutoff to remove small matrix elements (default = 1e-10)

• dtype (Union[None, str, type[Any], dtype, _SupportsDType]) – The datatype to use for the matrix elements. Defaults to double precision if available.

Examples

Constructs a new PauliStrings operator X_0*X_1 + 3.*Z_0*Z_1 with both construction schemes.

>>> import netket as nk
>>> operators, weights = ['XX','ZZ'], [1,3]
>>> op = nk.operator.PauliStrings(operators, weights)
>>> op.hilbert
Qubit(N=2)
>>> op.hilbert.size
2
>>> hilbert = nk.hilbert.Spin(1/2, 2)
>>> op = nk.operator.PauliStrings(hilbert, operators, weights)
>>> op.hilbert
Spin(s=1/2, N=2, ordering=new)

Methods

__init__(hilbert[, operators, weights, ...])	Constructs a new PauliStrings operator given a set of Pauli operators.
apply(v)
collect()	Returns a guaranteed concrete instance of an operator.
conj(*[, concrete])
conjugate(*[, concrete])	Returns the complex-conjugate of this operator.
copy(*[, dtype, cutoff])	Returns a copy of the operator, while optionally changing the dtype of the operator.
from_openfermion(hilbert[, ...])	Converts an openfermion QubitOperator into a netket PauliStrings.
get_conn(x)	Finds the connected elements of the Operator.
get_conn_flattened(x, sections[, pad])	Finds the connected elements of the Operator.
get_conn_padded(x)	Finds the connected elements of the Operator.
identity(hilbert, **kwargs)
n_conn(x)	Return the number of states connected to x.
to_dense()	Returns the dense matrix representation of the operator.
to_jax_operator()	Return the JAX version of this operator.
to_linear_operator()
to_numba_operator()	Returns the standard numba version of this operator, which is an instance of netket.operator.PauliStrings.
to_qobj()	Convert the operator to a qutip's Qobj.
to_sparse([jax_])	Returns the sparse matrix representation of the operator.
transpose(*[, concrete])	Returns the transpose of this operator.
tree_flatten()
tree_unflatten(metadata, data)

Attributes

H	Returns the Conjugate-Transposed operator
T	Returns the transposed operator
dtype	The dtype of the operator's matrix elements ⟨σ|Ô|σ'⟩.
hilbert	The hilbert space associated to this observable.
is_hermitian	Returns true if this operator is hermitian.
max_conn_size	The maximum number of non zero ⟨x|O|x'⟩ for every x.
operators
weights