Preparation of quantum superposition using partial negation

TL;DR

This paper introduces a variational quantum circuit utilizing partial negation to efficiently prepare arbitrary quantum superpositions with high accuracy in linear steps, enhancing quantum algorithm performance.

Contribution

It proposes a novel variational quantum circuit based on partial negation operators for efficient superposition preparation, following unitary Lie group symmetries.

Findings

Prepares superpositions in O(n) steps

Achieves high accuracy compared to existing methods

Utilizes symmetries of the unitary Lie group

Abstract

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. The speed of the preparation process and the accuracy of the prepared superposition has a special importance to the success of any quantum algorithm. The proposed method can be used to prepare the required quantum superposition in $\mathcal{O}(n)$ steps and with high accuracy when compared with relevant methods in literature.