targeted_einsum(gate, wf, wf_target_inds)¶
Left-multiplies the given axes of the wf tensor by the given gate matrix.
Note that the matrix must have a compatible tensor structure. For example, if you have an 6-qubit state vector
wfwith shape (2, 2, 2, 2, 2, 2), and a 2-qubit unitary operation
opwith shape (2, 2, 2, 2), and you want to apply
opto the 5th and 3rd qubits within
input_state, then the output state vector is computed as follows:
output_state = targeted_einsum(op, input_state, [5, 3])
This method also works when the right hand side is a matrix instead of a vector. If a unitary circuit’s matrix is
old_effect, and you append a CNOT(q1, q4) operation onto the circuit, where the control q1 is the qubit at offset 1 and the target q4 is the qubit at offset 4, then the appended circuit’s unitary matrix is computed as follows:
new_effect = targeted_left_multiply(CNOT.reshape((2, 2, 2, 2)), old_effect, [1, 4])
Parameters: Return type:
The output tensor.