6.7. utils

bin2num(c)

Convert binary list to decimal number.

Parameters:

c (list([0|1])) – A list of 0 and 1 values.

Returns:

result – The integer value corresponding to the binary list.

Return type:

int

embedSequences(seq)

This function scans through the operations in a `Sequence` object and replaces all occurences of `Sequence` objects in it by the corresponding operations in it. This function only replaces `Sequence` objects on the first level, i.e. it does not replace recursively all `Sequence` objects within other `Sequence` objects.

Parameters:

seq (geqo.core.quantum_circuit.Sequence) – A `Sequence` object.

Returns:

res – A `Sequence` object with all occurences of ``Sequence`` objects on the first level replaced by the corresponding operators.

Return type:

geqo.core.quantum_circuit.Sequence

getSingleQubitOperationOnRegister(u: MutableDenseMatrix | ndarray[tuple[Any, ...], dtype[_ScalarT]], numberQubits: int, targets: list[int]) → MutableDenseMatrix | ndarray[tuple[Any, ...], dtype[_ScalarT]]

Apply single-qubit operation to specific qubits in register.

num2bin(num, digits)

Convert a decimal number to a binary representation in list form.

Parameters:

num (int) – An integer.

Returns:

btstr – A list of 0 and 1, which is the binary representation of the given number.

Return type:

list([0|1])

partialTrace(rho: MutableDenseMatrix | ndarray[tuple[Any, ...], dtype[_ScalarT]], qubits: list[int], dropTargets: list[int]) → tuple[MutableDenseMatrix, MutableDenseMatrix] | tuple[ndarray[tuple[Any, ...], dtype[_ScalarT]], ndarray[tuple[Any, ...], dtype[_ScalarT]]]

Compute partial trace of density matrix.

partial_diag(rho, qubits, dropTargets)

Compute the partial trace (trace out the dropTargets) and extract the non-zero diagonal element of the reduced density matrix.

Parameters:

• rho (numpy.ndarry | sympy.Matrix) – A density matrix.

• qubits (list(int|String)) – A list of qubits of a register.

• dropTargets (list(int|String)) – The qubits that are discarded.

Returns:

nonzero – A list of pairs. The first component of a pair is a binary representation of the index of a diagonal element of the density matrix. The second component is the corresponding entry.

Return type:

list((list([0|1]), numpy.float64 | sympy.core ))

permutationMatrixQubitsNumPy(perm: list[int]) → ndarray[tuple[Any, ...], dtype[_ScalarT]]

Return permutation matrix for given qubit permutation.

Parameters:

perm (list[int]) – The permutation of qubits in list form. The elements are indexed starting with 0. For instance, [0,2,1] denotes the permutation of 3 qubits, where the last 2 qubits are flipped.

Returns:

A permutation matrix on the state space of the qubits. The matrix corresponds to the permutation of the qubits.

Return type:

NDArray

permutationMatrixQubitsSymPy(perm: list[int]) → MutableDenseMatrix

Return a permutation matrix for given qubit permutation.

6.7. Params

perm: list[int]

The permutation of qubits in list form. Each entry is the index after the permutation.

6.7. Results

sym.Matrix

The permutation matrix corresponding to the provided permutation of qubits.