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Chinese Physics B

Steganalysis and improvement of a quantum steganography protocol via a GHZ4state

Shujiang Xu, Xiu‐Bo Chen, Xinxin Niu, Yixian Yang

Published Jun 1, 2013• 10 citations
Publisher

Abstract

Quantum steganography that utilizes the quantum mechanical effect to achieve the purpose of information hiding is a popular topic of quantum information. Recently, El Allati et al. proposed a new quantum steganography using the GHZ 4 state. Since all of the 8 groups of unitary transformations used in the secret message encoding rule change the GHZ 4 state into 6 instead of 8 different quantum states when the global phase is not considered, we point out that a 2-bit instead of a 3-bit secret message can be encoded by one group of the given unitary transformations. To encode a 3-bit secret message by performing a group of unitary transformations on the GHZ 4 state, we give another 8 groups of unitary transformations that can change the GHZ 4 state into 8 different quantum states. Due to the symmetry of the GHZ 4 state, all the possible 16 groups of unitary transformations change the GHZ 4 state into 8 different quantum states, so the improved protocol achieves a high efficiency.

DOI
10.1088/1674-1056/22/6/060307

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Quantum steganography that utilizes the quantum mechanical effect to achieve the purpose of information hiding is a popular topic of quantum information. Recently, El Allati et al. proposed a new quantum steganography using the GHZ 4 state. Since all of the 8 groups of unitary transformations used in the secret message encoding rule change the GHZ 4 state into 6 instead of 8 different quantum states when the global phase is not considered, we point out that a 2-bit instead of a 3-bit secret message can be encoded by one group of the given unitary transformations. To encode a 3-bit secret message by performing a group of unitary transformations on the GHZ 4 state, we give another 8 groups of unitary transformations that can change the GHZ 4 state into 8 different quantum states. Due to the symmetry of the GHZ 4 state, all the possible 16 groups of unitary transformations change the GHZ 4 state into 8 different quantum states, so the improved protocol achieves a high efficiency.
Quantum steganography is the art of hiding secret information in an insecure quantum channel. Recently, it is proposed a quantum steganography protocol based on the tensor product of Bell states to transmit classical 4-bit secret message per round. However, it has permits a small hidden capacity. In this work, an improvement of that quantum steganography protocol to transmit 8-bit secret message per round is proposed. The improved protocol uses tensor product of Bell states and unitary transformations with two groups of sixteen tensor products of two Bell states rather than 256 elements of tensor product of four Bell states. Simulations conducted shows that the improved protocol has superior performance in terms of imperceptibility as well as high security compared with the competitive protocol.
Abstract In 2011, Qu et al. proposed a quantum information hiding protocol based on the entanglement swapping of χ-type quantum states. Because a χ-type state can be described by the 4-particle cat states which have good symmetry, the possible output results of the entanglement swapping between a given χ-type state and all of the 16 χ-type states are divided into 8 groups instead of 16 groups of different results when the global phase is not considered. So it is difficult to read out the secret messages since each result occurs twice in each line (column) of the secret messages encoding rule for the original protocol. In fact, a 3-bit instead of a 4-bit secret message can be encoded by performing two unitary transformations on 2 particles of a χ-type quantum state in the original protocol. To overcome this defect, we propose an improved quantum information hiding protocol based on the general term formulas of the entanglement swapping among χ-type states.
A quantum steganography communication scheme via Greenberger-Horne-Zeilinger GHZ 4 state is constructed to investigate the possibility of remotely transferred hidden information. Moreover, the multipartite entangled states are become a hectic topic due to its important applications and deep effects on aspects of quantum information. Then, the scheme consists of sharing the correlation of four particle GHZ 4 states between the legitimate users. After insuring the security of the quantum channel, they begin to hide the secret information in the cover of message. Comparing the scheme with the previous quantum steganographies, capacity and imperceptibility of hidden message are good. The security of the present scheme against many attacks is also discussed.
The main goal of steganography is to transmit hidden messages in legitimate-looking communication messages. Phase-domain information hiding, however, has not been fully explored for quantum systems. This work introduces a finite-dimensional Quantum Hilbert Transform (QHT) as a unitary phase operator based on the Quantum Fourier Transform. Using this construction, we develop a QHT-based quantum steganography scheme that embeds classical bits as weak signed phase perturbations of quantum cover states. Bob recovers the hidden message through binary state discrimination, block aggregation, and classical error-correcting decoding.
Steganography is the study of concealing and sending a secret message by making the eavesdropper unaware of its presence. First ever attempt to propose steganography via quantum key distribution (QKD) was made by Martin in his paper where BB84 QKD was used for communicating steganographic messages. The protocol have recently been found to be insecure against a detection based steganalysis attack which uses ambiguous quantum state discrimination. In this work, we extend the previous methods to develop new continuous variable quantum steganographic protocols using QKD and analyze their performance against steganalysis.
Many people use the internet for communication, but there is a problem with protecting their information. To ward off the attackers, they need secure communication such as cryptography and steganography techniques. To maintain the security of information, improving the technology of steganography is necessary. In this paper, we propose a novel method to create the secret quantum text steganography more difficult for attackers to intercept. Firstly, the proposed method generates a secret message as a binary string by combining the secret key of the BB84 protocol and message. Then, the secret message is embedded in the first character of each line in the cover text. In the cover text, the first character of each line is changed to the case of the specific character, such as uppercase or lowercase, according to the secret message to be hidden. The cover text uses the English language. Experimental results describe the effectiveness of the proposed method for hiding data within the cover text while maintaining a high level of security. The proposed model is able to secure data transmission because it was difficult for the attacker to reveal or intercept data.