quara.objects.composite_system module

class CompositeSystem(systems)[source]

Bases: object

Class for describing Composite system

Constructor

Parameters

systems (List[ElementalSystem]) – list of ElementalSystem of this CompositeSystem.

Raises

ValueError – duplicate ElementalSystem instance.
ValueError – duplicate ElementalSystem name.

basis()[source]

returns MatrixBasis of CompositeSystem.

Returns: SparseMatrixBasis of CompositeSystem.
Return type: SparseMatrixBasis

property basis_T_sparse: numpy.ndarray

basis_basisconjugate(basis_index)[source]

returns \(B_{\alpha} \otimes \bar{B_{\beta}}\), where basis_index = \((\alpha, \beta)\) and \(B_{i}\) are the elements of basis.

Parameters

basis_index (Union[int, Tuple[int, int]]) –

index of basis.

if type is int, then regardes it as the indices (basis_index / num_of_basis, basis_index % num_of_basis) of the basis of CompositeSystem.
if type is Tuple, then regardes (i, j) as the indices of the basis of CompositeSystem.

Returns

\(B_{\alpha} \otimes \bar{B_{\beta}}\)

Return type

np.ndarray

property basis_basisconjugate_T_sparse: numpy.ndarray

property basis_basisconjugate_T_sparse_from_1: numpy.ndarray

property basisconjugate_basis_sparse: numpy.ndarray

property basisconjugate_sparse: numpy.ndarray

property basishermitian_basis_T_from_1: numpy.ndarray

comp_basis(mode='row_major')[source]

returns computational basis of CompositeSystem.

Parameters: mode (str, optional) – specify whether the order of basis is “row_major” or “column_major”, by default “row_major”.
Returns: computational basis of CompositeSystem.
Return type: MatrixBasis
Raises: ValueError – mode is unsupported.

delete_basis_T_sparse()[source]

delete basis_T_sparse property to save memory.

If you use basis_T_sparse again, call basis_T_sparse again.

Return type: None

delete_basis_basisconjugate_T_sparse()[source]

delete basis_basisconjugate_T_sparse property to save memory.

If you use basis_basisconjugate_T_sparse again, call basis_basisconjugate_T_sparse again.

Return type: None

delete_basis_basisconjugate_T_sparse_from_1()[source]

delete basis_basisconjugate_T_sparse_from_1 property to save memory.

If you use basis_basisconjugate_T_sparse_from_1 again, call basis_basisconjugate_T_sparse_from_1 again.

Return type: None

delete_basisconjugate_basis_sparse()[source]

delete basisconjugate_basis_sparse property to save memory.

If you use basisconjugate_basis_sparse again, call basisconjugate_basis_sparse again.

Return type: None

delete_basisconjugate_sparse()[source]

delete basisconjugate_sparse property to save memory.

If you use basisconjugate_sparse again, call basisconjugate_sparse again.

Return type: None

delete_basishermitian_basis_T_from_1()[source]

delete basishermitian_basis_T_from_1 property to save memory.

If you use basishermitian_basis_T_from_1 again, call basishermitian_basis_T_from_1 again.

Return type: None

delete_dict_from_choi_to_hs()[source]

delete dict_from_choi_to_hs property to save memory.

If you use dict_from_choi_to_hs again, call dict_from_choi_to_hs again.

Return type: None

delete_dict_from_hs_to_choi()[source]

delete dict_from_hs_to_choi property to save memory.

If you use dict_from_hs_to_choi again, call dict_from_hs_to_choi again.

Return type: None

property dict_from_choi_to_hs: dict

property dict_from_hs_to_choi: dict

property dim: int

returns dim of CompositeSystem.

the dim of CompositeSystem equals the dim of basis.

Returns: dim of CompositeSystem.
Return type: int

dim_e_sys(i)[source]

returns the dimension of the i-th ElementalSystem.

the dim of the i-th ElementalSystem.

Parameters: i (int) – the id of an ElementalSystem
Returns: the dim of the i-th ElementalSystem
Return type: int

property elemental_systems: Tuple[quara.objects.elemental_system.ElementalSystem]

returns list of ElementalSystem of this CompositeSystem.

Returns: list of ElementalSystem of this CompositeSystem.
Return type: Tuple[ElementalSystem]

get_basis(index)[source]

returns basis specified by index.

Parameters

index (Union[int, Tuple]) –

index of basis.

if type is int, then regardes it as the index after calculating the basis of CompositeSystem.
if type is Tuple, then regardes it as the indices of the basis of ElementalSystems.

Returns

basis specified by index.

Return type

MatrixBasis

Raises

ValueError – length of tuple does not equal length of the list of the basis.
IndexError – specified index does not exist in the list of the basis.

property is_basis_hermitian: bool

property is_orthonormal_hermitian_0thprop_identity: bool

returns whether all ElementalSystem of this CompositeSystem are orthonormal, hermitian and 0th prop identity.

Returns: whether all ElementalSystem of this CompositeSystem are orthonormal, hermitian and 0th prop identity.
Return type: bool

property num_e_sys: int

returns the number of ElementalSystem.

the number of ElementalSystem.

Returns: num of ElementalSystem.
Return type: int