Note

This is the documentation for the current state of the development branch of Qiskit Experiments. The documentation or APIs here can change prior to being released.

Pauli6PreparationBasis

class Pauli6PreparationBasis

Over-complete 6-element Pauli preparation basis.

This is an over-complete size 6 preparation basis where each qubit index corresponds to the following initial state density matrices:

Table 3 Single-qubit preparation circuits and states

Index	State	Preparation Circuit	Density Matrix
0	Zp	-[I]-	[[1, 0], [0, 0]]
1	Zm	-[X]-	[[0, 0], [0, 1]]
2	Xp	-[H]-	[[0.5, 0.5], [0.5, 0.5]]
3	Xm	-[H]-[Z]-	[[0.5, -0.5], [-0.5, 0.5]]
2	Yp	-[H]-[S]-	[[0.5, -0.5j], [0.5j, 0.5]]
3	Ym	-[H]-[Sdg]-	[[0.5, 0.5j], [-0.5j, 0.5]]

Initialize a fitter preparation basis.

Parameters:

• name – a name to identify the basis.

• instructions – list of 1-qubit instructions for preparing states from the $|0⟩$ state.

• default_states – Optional, default density matrices prepared by the input instructions. If None these will be determined by ideal simulation of the preparation instructions.

• qubit_states – Optional, a dict with physical qubit keys and a list of density matrices prepared by the list of basis instructions for a specific qubit. The default states will be used for any qubits not specified in this dict.

Raises:

QiskitError – If input states or instructions are not valid, or no instructions or states are provided.

Attributes

Pauli6PreparationBasis.name

Return the basis name

Methods

Pauli6PreparationBasis.circuit(index[, qubits])	Return the basis preparation circuit.
Pauli6PreparationBasis.index_shape(qubits)	Return the shape for the specified number of indices.
Pauli6PreparationBasis.matrix(index[, qubits])	Return the density matrix data array for the index and qubits.
Pauli6PreparationBasis.matrix_shape(qubits)	Return the shape of subsystem dimensions of the state attr:~matrix.