Quantum Image Rotation by an arbitrary angle

TL;DR

This paper introduces a quantum image rotation method using shear transformations on NEQR images, employing quantum circuits for computation, with simulations demonstrating rotations at various angles and discussions on anti-aliasing and complexity.

Contribution

A novel quantum image rotation technique based on shear transformations, utilizing specialized quantum circuits for computation, with simulation validation.

Findings

Successful simulation of rotations at 30°, 45°, 60°

Discussion on anti-aliasing effects

Analysis of computational complexity

Abstract

In this paper, a novel method of quantum image rotation (QIR) based on shear transformations on NEQR quantum images is proposed. To compute the horizontal and vertical shear mappings required for rotation, we have designed quantum self-adder, quantum control multiplier, and quantum interpolation circuits as the basic computing units in the QIR implementation. Furthermore, we provide several examples of our results by presenting computer simulation experiments of QIR under $30^\circ$, $45^\circ$, and $60^\circ$ rotation scenarios and have a discussion onto the anti-aliasing and computational complexity of the proposed QIR method.