ComplexMPO

Matrix Product Operator (MPO) of Complex values. Compressed representation of large-dimensional tensors, well suited to the representation of quantum operators for 1D many-body physics problems.

Factories

make_random_mpo(integer length, integer physical_size, integer bond_size) -> ComplexMPO

Generate a random Matrix Product Operator (MPO) with Complex values.

Parameters

• length: Number of sites in the MPO chain.
• physical_size: Dimension of the physical (input/output) indices at each site.
• bond_size: Maximum bond dimension between adjacent sites.

Returns

A random ComplexMPO with the specified dimensions. Each site tensor has shape [bond_size, physical_size, physical_size, bond_size].

make_random_mpo(integer length, integer physical_size, integer bond_size, as_complex as_complex) -> ComplexMPO

Generate a random Matrix Product Operator (MPO) with Complex values.

Parameters

• length: Number of sites in the MPO chain.
• physical_size: Dimension of the physical (input/output) indices at each site.
• bond_size: Maximum bond dimension between adjacent sites.
• as_complex:

Returns

A random ComplexMPO with the specified dimensions. Each site tensor has shape [bond_size, physical_size, physical_size, bond_size].

Constructors

ComplexMPO(const ComplexMPO other) -> ComplexMPO

Copy constructor for Matrix Product Operator (MPO) of Complex values.

Parameters

• other: The MPO to copy.

ComplexMPO(integer length) -> ComplexMPO

Matrix Product Operator (MPO) of Complex values with the specified number of sites.

Parameters

• length: Number of sites in the MPO chain.

Symbols

Name	Description
*	Compute the exact product of two MPOs (operators). Composes two quantum operators represented as Matrix Product Operators, Both MPOs must have the same number of sites and physical dimension. The resulting MPO represents $\hat{A} \hat{B}$, the composition of the two operators, with Complex values.
+	Compute the sum of two Matrix Product Operators (quantum operators) with Complex values.
=	Assignment operator for Matrix Product Operator (MPO) of Complex values.
[]	Access a specific site tensor in the MPO chain by index. Supports negative indexing (e.g., -1 for the last site).

Members

Name	Description
expval	Compute the expectation value $\langle \psi \| \hat{O} \| \psi \rangle$ of a quantum operator in state $\|\psi\rangle$ with Complex values.
get_site	Get a copy of the site tensor at the specified index.
matrix	Convert an MPO to a full matrix representation.
max_bond	Get the maximum bond dimension across all bonds in the MPO chain.
open_boundary	Set the MPO to open boundary conditions.
periodic_boundary	Set the MPO to periodic (closed) boundary conditions.
set_boundary_like	Copy the boundary conditions from another MPO or MPS.
set_site	Set the site tensor at the specified index.
size	Get the number of sites in the MPO.