Advanced Research in Hypercomplex Platforms in Quantum Communication

Chapter 2

Abstract

A Novel Quantum Steganography

Based on the novel enhanced quantum representation for quantum image (NEQR), a new blind quantum steganography scheme is proposed. In this scheme, an improved quantum representation of text utilizing ASCII is provided that uses two qubit sequences to store the same quantum text message. The general embedding process of the scheme is as follows: firstly, the cover image of sized 2<sup>n</sup> <sup>2</sup><sup>n</sup> will

sized 2<sup>n</sup><sup>2</sup> <sup>2</sup><sup>n</sup><sup>1</sup> is scrambled by Gray code transform method. Then, the disorder quantum text is embedded into the eight blocks of cover image employing the Gray code as a judgment condition. Meanwhile, the corresponding quantum circuits are drawn. Through the analysis of all quantum circuits, it can be concluded that the scheme has a lower complexity, that is, O(n). And the performance of the proposed scheme is analyzing in terms of simulation results of three items: visual quality,

With the advantage of quantum physics, quantum computer has demonstrated a

Over the past few decades, teams of researchers have been noticed by quantum image processing that is a young emerging cross-discipline of image processing and quantum mechanics. The investigation in this direction is how to construct the quantum representations to represent images on quantum computer at first. So various quantum representations have been proposed, such as, Qubit Lattice [3], entangled image [4], real ket [5], flexible representation of quantum images (FRQI) [6], a novel enhanced quantum representation of digital images (NEQR) [7], multichannel representation for quantum images (MCRQI) [8], a normal arbitrary quantum superposition state (NAQSS) [9], and a novel quantum representation for

bright prospect over than the classic computer, especially in Grover's database searching algorithm [1] and Shor's prime factor decomposition algorithm [2].

color digital images (NCQI) [10]. Secondly, many kinds of quantum image

segmentation [22], feature extraction [23], edge detection [24], and image

processing algorithms were developed, such as geometric transformations [11, 12], image translation [13–15], image scaling [16–18], image scrambling [19–21], image

Keywords: quantum steganography, quantum text, ASCII, Gray code,

, and the secret quantum text of

Scheme Based on ASCII

be divided into eight blocks of sized 2<sup>n</sup><sup>2</sup> <sup>2</sup><sup>n</sup><sup>1</sup>

circuit complexity, and robustness.

quantum circuit

1. Introduction

matching [25, 26].

11

Ri-Gui Zhou and Jia Luo
