CheckerBoardTile

class CheckerBoardTile(origin: array, qubit_count=None, qubit_data=None, operators=None, optype='pXZXZ')

Bases: Tile

Checker Board Tile

The diagram is as follows:

q0       q1  q1       q2
v0       v1  v0       v1
  o-----o      o-----o
  |  0  |      |  1  |
  o-----o      o-----o
v2       v3  v2       v3
q3       q4  q4       q5
            .(0,0)
q3       q4  q4       q5
v0       v1  v0       v1
  o-----o      o-----o
  |  2  |      |  3  |
  o-----o      o-----o
v2       v3  v2       v3
q6       q7  q7       q8
o-----o-----o
|  0  |  1  |
o-----o-----o
|  2  |  3  |
o-----o-----o

Creates a Checker Board Tile (Shell)

q0       q1  q1       q2
v0       v1  v0       v1
  o-----o      o-----o
  |  0  |      |  1  |
  o-----o      o-----o
v2       v3  v2       v3
q3       q4  q4       q5

            .(0,0)

q3       q4  q4       q5
v0       v1  v0       v1
  o-----o      o-----o
  |  2  |      |  3  |
  o-----o      o-----o
v2       v3  v2       v3
q6       q7  q7       q8


  o-----o-----o
  |  0  |  1  |
  o-----o-----o
  |  2  |  3  |
  o-----o-----o

Face colors for faces [0,1,2,3] are [“yellowgreen”, “tomato”, “tomato”, “yellowgreen”]

Preformatted operators are stored in CheckerBoardTile.op_dict. Keys for op_dict are of the form [p|c]PPPP where p = pattern and c = copy and P is a Pauli opertor X, Z or Y.

“pXZXZ” -> #0 face is Pauli(“XXXX”) operator, #1 face is Pauli(“ZZZZ”), etc. “cXZZX” -> #0 face is Pauli(“XZZX”) operator, #1 face is Pauli(“XZZX”), etc.

Available precomputed operator layouts are:

"pXZXZ", "pZXZX"
"cXXXX", "cZZZZ", "cXZZX", "cZXXZ"

The operator variable may be used to define the operators specifically. The operator must be a list of PauliList objects where each PauliList describes the opertors to be built for the faces as indexed above 0,1,2,3, … If the PauliList contains k Paulis then k operators will be created for the given face.

Parameters:

• origin (np.array) – Coordinates of origin of tile (shell)

• qubit_count – Qubit counter. Defaults to None.

• qubit_data – Qubit data. Defaults to None.

• operators – Operators for tile faces. Defaults to None.

• optype (optional) – Which of the listed opertor mapppings to used. Defaults to “pXZXZ”.

A appropriately scalled lattice basis for tiling with the CheckerBoardTile can be accessed from [CheckerBoardTile.u_vec, CheckerBoardTile.v_vec]

Raises:

QiskitError – Unsupported operator type

Returns:

Returns a Checker Board tile (shell) with provided origin

Return type:

Shell

Methods

classmethod draw()

Display the tile

Return type:

None

Attributes

face_colors = ['yellowgreen', 'tomato', 'tomato', 'yellowgreen']

faces_wf_components = [[0], [1], [2], [3]]

num_faces = 4

num_qubits = 9

size = array([2, 2])

u_vec = array([2, 0])

v_vec = array([0, 2])

wf_coordinates = [[[-1, 1], [0, 1], [0, 0], [-1, 0]], [[0, 1], [1, 1], [1, 0], [0, 0]], [[-1, 0], [0, 0], [0, -1], [-1, -1]], [[0, 0], [1, 0], [1, -1], [0, -1]]]

wf_loop_indicator = [True, True, True, True]

wf_operator_dict = {'cXXXX': [PauliList(['XXXX']), PauliList(['XXXX']), PauliList(['XXXX']), PauliList(['XXXX'])], 'cXZZX': [PauliList(['XZZX']), PauliList(['XZZX']), PauliList(['XZZX']), PauliList(['XZZX'])], 'cZXXZ': [PauliList(['ZXXZ']), PauliList(['ZXXZ']), PauliList(['ZXXZ']), PauliList(['ZXXZ'])], 'cZZZZ': [PauliList(['ZZZZ']), PauliList(['ZZZZ']), PauliList(['ZZZZ']), PauliList(['ZZZZ'])], 'pXZXZ': [PauliList(['XXXX']), PauliList(['ZZZZ']), PauliList(['ZZZZ']), PauliList(['XXXX'])], 'pZXZX': [PauliList(['ZZZZ']), PauliList(['XXXX']), PauliList(['XXXX']), PauliList(['ZZZZ'])]}

wf_q_indices = [[0, 1, 4, 3], [1, 2, 5, 4], [3, 4, 7, 6], [4, 5, 8, 7]]