Quantum discords of tripartite quantum systems

Zhou, Jianming; Hu, Xiuzhen; Jing, Naihuan

doi:10.1007/s11128-022-03490-0

Cited by 8 publications

(5 citation statements)

References 17 publications

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“…To better compare the segmentation results, we use MSE to evaluate the difference between the original image and the segmented image, and if the MSE value is smaller, then the images before and after segmentation are more similar, which means that the segmentation is better. For two images of size 2 n × 2 n , MSE is defined as equation (7):…”

Section: Experimental Analysismentioning

confidence: 99%

“…Quantum image processing is an emerging discipline based on quantum physics that integrates computers and image processing. Glenn Beach et al [3] first proposed the concept of quantum image processing in 2003, and the main research directions in this field are quantum image encryption [4], quantum image watermarking [5], quantum image edge detection [6][7][8], quantum image segmentation [9][10][11][12], quantum image matching [13], etc.…”

Section: Introductionmentioning

confidence: 99%

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Improved dual-threshold quantum image segmentation algorithm and simulation*

Dong,

Yan,

Mou

et al. 2024

Phys. Scr.

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Quantum image segmentation algorithm is crucial for quantum image processing. In this paper, a dual-threshold quantum image segmentation algorithm is designed and simulated in IBM Quantum Experience (IBM Q) platform, which can segment a complex image into three parts using fewer quantum bits. In our algorithm, given a high threshold and a low threshold, grayscale values larger than the high threshold are set to the high threshold and grayscale values smaller than the low threshold are set to the low threshold, with no change for the part between the two thresholds. Then we use a low-cost quantum comparator and design a complete and scalable quantum image segmentation circuit. Analysis of the circuit cost shows that the quantum gates required for the circuit are only related to the grayscale range q and are independent of the image size. The feasibility of the algorithm and the correctness of the quantum circuit are verified by simulation in IBM Q platform, and finally the MSE, PSNR AND SSIM value of the image is analyzed to prove the effectiveness of the segmentation algorithm.

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Section: Experimental Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Improved dual-threshold quantum image segmentation algorithm and simulation*

Dong,

Yan,

Mou

et al. 2024

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…For multipartite systems, even fewer results are derived. [40][41][42][43][44][45][46] For example, the quantum discord for multipartite X-states was evaluated analytically and classified into three categories by Li et al, and they investigated the dynamic behavior of the quantum discord under decoherence. [45] Zhou et al focused on the quantum discord for tripartite with fourteen parameters and got analytic solutions in some special cases.…”

Section: Introductionmentioning

confidence: 99%

“…[45] Zhou et al focused on the quantum discord for tripartite with fourteen parameters and got analytic solutions in some special cases. [46] In this paper, we obtain analytical solutions of the quantum discord for a family of N-qubit quantum states.…”

Section: Introductionmentioning

confidence: 99%

Quantum discord and its dynamics for multipartite systems

Luo 罗,

Guo 郭

2024

Chinese Phys. B

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Quantum discord, one of the famous quantum correlations, has been recently generalized to multipartite systems by Radhakrishnan et.al. In this paper, we give analytical solutions of the quantum discord for a family of N-qubit quantum states. For bipartite case, we derive a zero quantum discord which will remain unchanged under the phase damping channel. For larger cases, it is found that the quantum discord can be classified into three categories and the quantum discord for odd-partite systems can exhibit freezing under the phase damping channel, while the freezing doesn't exist in the even-partite systems.

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“…[21] A feature of their formulation is that the definition of multipartite discord reduces to the standard definition of discord for bipartite correlated subsystems, and this has also led to research of multipartite quantum discord. [22][23][24][25][26] Quantifying discord is not only the basic problem of quantum correlation theory, but also the premise of using quantum discord. After Datta gave a mathematical description of bipartite quantum states with zero discord, [27] a great deal of work began on the quantitative study of quantum discord from a geometric perspective, that is, this kind of discord is defined as the minimal distance between a state and the set of states with zero discord.…”

Section: Introductionmentioning

confidence: 99%

Geometric discord of tripartite quantum systems

Xiong

Miao

et al. 2023

Chinese Phys. B

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In this paper, we study the quantification of geometric discord for tripartite quantum systems. Firstly, we obtain the analytic formula of geometric discord for tripartite pure states. It is already known that the geometric discord of pure states reduces to the geometric entanglement in bipartite systems, the results presented here show that this property is no longer true in tripartite systems. Furthermore, we provide an operational meaning for tripartite geometric discord by linking it to quantum state discrimination, that is, we prove that the geometric discord of tripartite states is equal to the minimum error probability to discriminate a set of quantum states with von Neumann measurement. At last, we calculate the geometric discord of three-qubit Bell diagonal states and then investigate the dynamic behavior of tripartite geometric discord under local decoherence. It is interesting that the frozen phenomenon exists for geometric discord in this scenario.

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Quantum discords of tripartite quantum systems

Cited by 8 publications

References 17 publications

Improved dual-threshold quantum image segmentation algorithm and simulation*

Improved dual-threshold quantum image segmentation algorithm and simulation*

Quantum discord and its dynamics for multipartite systems

Geometric discord of tripartite quantum systems

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