Preparation of quantum superposition using partial negation

Understand

The preparation of a quantum superposition is the key to the success of many quantum algorithms and quantum machine learning techniques.

• The preparation of an incomplete or a non-uniform quantum superposition with certain properties is a non-trivial task.
• In this paper, an $n$-qubits variational quantum circuit using partial negation and controlled partial negation operators will be proposed to prepare an arbitrary quantum superposition.
• The proposed quantum circuit follows the symmetries of the unitary Lie group.