Quantum superposing algorithm for quantum encoding

TL;DR

This paper introduces an efficient quantum superposing algorithm that significantly improves the process of quantum encoding by reducing CNOT gate counts, enhancing computational performance in quantum data encoding tasks.

Contribution

The paper presents the most optimized quantum superposing algorithm to date, with a maximum of 2n-3 CNOT gates, outperforming existing methods in efficiency.

Findings

Substantial reduction in CNOT gate counts compared to previous algorithms

Theoretical analysis confirms improved computational efficiency

Numerical simulations validate practical effectiveness

Abstract

Efficient encoding of classical data into quantum state -- currently referred to as quantum encoding -- holds crucial significance in quantum computation. For finite-size databases and qubit registers, a common strategy of the quantum encoding entails establishing a classical mapping that correlates machine-recognizable data addresses with qubit indices that are subsequently superposed. Herein, the most imperative lies in casting an algorithm for generating the superposition of any given number of qubit indices. This algorithm is formally known as quantum superposing algorithm. In this work, we present an efficient quantum superposing algorithm, affirming its effectiveness and superior computational performance in a practical quantum encoding scenario. Our theoretical and numerical analyses demonstrate a substantial enhancement in computational efficiency compared to existing algorithms. Notably, our algorithm has a maximum of 2n-3 controlled-not (CNOT) counts, representing the most optimized result to date.