supergrad.quantum_system.KronObj

supergrad.quantum_system.KronObj#

class supergrad.quantum_system.KronObj(inpt=None, dims=None, locs=None, _nested_inpt=False, diag_unitary=None)[source]#

The Kronecker Object (KronObj) class is designed to represent k-body Hamiltonian in Kronecker product format. It’s particularly useful for representing the sparse total system Hamiltonian in a form convenient for computing Einstein summation.

Additionally, the KronObj class supports mathematical operations such as addition(+) and multiplication(@) between KronObj instances.

Parameters:

  • inpt (list) – list of array The local Hamiltonian that represents the Hamiltonian of each subsystem in a composite system. Each element of the inpt corresponds to the local Hamiltonian of the corresponding subsystem tagged in the locs.

  • dims (list) – list of int Dimensions of subsystems in the composited Hilbert Space.

  • locs (list) – list of int Location information of corresponding local Hamiltonian. For example, the first element of locs is the index of the first subsystem in self.dims, and so on.

  • diag_unitary (array) – Unitary of diagonal-unitary format.

  • _nested_inpt (bool) – For internal using only.

__init__(inpt=None, dims=None, locs=None, _nested_inpt=False, diag_unitary=None) → None[source]#

Methods

__init__([inpt, dims, locs, _nested_inpt, ...])

compute_contraction_path([op_list, ...])

Compute tensor network contraction path.

conjugate()

Conjugate over tensor product

dag()

Conjugate transpose over tensor product

dense()

Return new KronObj contain dense matrix

diagonalize_operator()

Diagonalize Hermitian to diagonal-unitary representation.

expm([right_vec, trotter_order, tn_expr])

Calculate matrix exponentiation of KronObj.

full()

Dense matrix from the result of Kronecker product.

get_data()

set_data(data)

transpose()

Transpose over tensor product

tree_flatten()

Specifies a flattening recipe.

tree_unflatten(aux_data, children)

Specifies an unflattening recipe.

Attributes

data

diag_status

The diagonal-unitary format status of subsystems.

loc_status

The local Hamiltonian format status of subsystems.

shape

The shape of unitary
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