Designing a quantum circuit that prepares user-specific states is a fundamental task in quantum computation. This involves loading user-provided data into the initial superposition state of a quantum register, enablin...
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In order to meet the challenges of applied research in computer network routing, in view of the shortcomings of the existing D-P algorithms, this study proposes an innovative application research method based on impro...
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ISBN:
(数字)9798350388916
ISBN:
(纸本)9798350388916
In order to meet the challenges of applied research in computer network routing, in view of the shortcomings of the existing D-P algorithms, this study proposes an innovative application research method based on improved quantum evolution algorithms. The new solution leverages the principles of QEA theory to accurately identify and locate key influencing factors, and accordingly to classify indicators wisely to reduce potential interference. At the same time, by using the unique mechanism of improving the quantum evolution algorithm, the design strategy of the application in the selection is cleverly constructed. The empirical results show that the proposed scheme shows a significant improvement compared with the traditional D-P algorithm in the key performance indicators such as the accuracy of the application research and the processing efficiency of key factors in routing selection, showing its obvious strong advantages. In computer networks, the applied research in routing plays a vital role, which can accurately predict and optimize the growth trend and output results of the applied research in computer network routing. However, in the face of complex simulation tasks, traditional D-P algorithms show some inherent shortcomings, especially when dealing with multi-level challenges, their performance is often unsatisfactory. To overcome this problem, this study introduces a new idea of applied research in the routing selection of improved quantum evolution algorithm optimization, and accurately controls the influencing parameters through the QEA theory, and uses this as the road map for index allocation, and then uses the improved quantum evolution algorithm to innovate and construct a system scheme. The test results clearly point out that in the context of the evaluation criteria, the new scheme has been significantly optimized in terms of accuracy and processing speed for a variety of challenges, showing stronger performance superiority. Therefore, in the applic
quantumalgorithms for simulation of Hamiltonian evolution are often based on product formulae. The fractal methods give a systematic way to find arbitrarily high-order product formulae, but result in a large number o...
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quantumalgorithms for simulation of Hamiltonian evolution are often based on product formulae. The fractal methods give a systematic way to find arbitrarily high-order product formulae, but result in a large number of exponentials. On the other hand, product formulae with fewer exponentials can be found by numerical solution of simultaneous non-linear equations. It is also possible to reduce the cost of long-time simulations by processing, where a kernel is repeated and a processor need only be applied at the beginning and end of the simulation. In this work, we found thousands of new product formulae, and numerically tested these formulae, together with many formulae from prior literature. We provide methods to fairly compare product formulae of different lengths and different orders. For the case of 8th order, we have found new product formulae with exceptional performance, about two orders of magnitude better accuracy than prior work, both in the processed and non-processed cases. The processed product formula provides the best performance due to being shorter than the non-processed product formula. It outperforms all other tested product formulae over a range of many orders of magnitude in system parameters T (time) and epsilon (allowable error). That includes reasonable combinations of parameters to be used in quantumalgorithms, where the size of the simulation is large enough to be classically intractable, but not so large it takes an impractically long time on a quantum computer.
This paper introduces the Quadratic quantum Variational Monte Carlo (Q2VMC) algorithm, an innovative algorithm in quantum chemistry that significantly enhances the efficiency and accuracy of solving the Schröding...
Context: The rules of quantum Mechanics have been exploited through quantum Computing (QC) to solve specific problems and process information in expeditious ways as compared to Conventional Computing (CC) such as fact...
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ISBN:
(纸本)9783031485497;9783031485503
Context: The rules of quantum Mechanics have been exploited through quantum Computing (QC) to solve specific problems and process information in expeditious ways as compared to Conventional Computing (CC) such as factoring integers. Problem: With the alluring computation capability of QC, it is still important to assess the implications and limitations of QC in solving a variety of computationally demanding problems. Method: In this regard, an empirical study was conducted to assess the efficacy of QC in terms of solving certain complex problems by keeping a tradeoff between the execution time and problem size. An analysis was performed based on the widely used Shor's algorithms and the efficacy of QC as compared to CC was reported. Results: The outcomes show that QC has the potential to exponentially speed up the identification of a solution to certain polynomial problems that are intractable for CC. However, further research is needed to fully understand the potential and limitations of QC for Non-Polynomial (NP) complete problems.
This article clarifies the parameters of a quantum-resistant algorithm based on AG codes. This algorithm was proposed in previous works by the authors to counter the quantum threat when designing various on-board syst...
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quantum computing promises to improve the informationprocessing power to levels unreachable by classical computation. quantum walks are heading the development of quantumalgorithms for searching information on graph...
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quantum computing promises to improve the informationprocessing power to levels unreachable by classical computation. quantum walks are heading the development of quantumalgorithms for searching information on graphs more efficiently than their clas-sical counterparts. A quantum-walk-based algorithm standing out in the literature is the lackadaisical quantum walk. The lackadaisical quantum walk is an algorithm developed to search graph structures whose vertices have a self-loop of weight l. This paper addresses several issues related to applying the lackadaisical quantum walk to search for multiple solutions on grids successfully. Firstly, we show that only one of the two stopping condi-tions found in the literature is suitable for simulations. In the most discrepant case shown here, a stopping condition is prematurely satisfied at the step T = 288 with a success prob-ability Pr = 0.593276, while the suitable condition captures the actual amplification that occurred until T = 409 with Pr = 0.878178. We also demonstrate that the final success probability depends on both the space density of solutions and the relative distance between solutions. For instance, we show here that decreases in the density of solutions can even take a success probability of 0.849178 to 0.961896. In contrast, increases in the relative distances can even take a success probability of 0.871665 to 0.940301. Furthermore, this work generalizes the lackadaisical quantum walk to search for multiple solutions on grids of arbitrary dimensions. In addition, we propose an optimal adjustment of the self-loop weight l for such d-dimensional grids. It turns out other fits of l found in the literature are particular cases. Our experiments demonstrate that successful searches for multiple solutions with higher than two dimensions are possible by achieving success probabilities such as 0.999979, with the value of l proposed here, where it would be 0.637346, with the value of l proposed in previous works.
quantum Internet has the potential to support a wide range of applications in quantum communication and quantum computing by generating, distributing, and processingquantuminformation. Generating a long-distance qua...
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In today's online environment, a lot of data is created through online transactions and processing, and protecting this data can be difficult. When talking about security and privacy, it takes into account how res...
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In recent years, the rapid advancement of artificial intelligence (AI) has revolutionized various industries, with image processing playing an important role in the revolution. AI-powered image analysis has opened up ...
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In recent years, the rapid advancement of artificial intelligence (AI) has revolutionized various industries, with image processing playing an important role in the revolution. AI-powered image analysis has opened up new possibilities in healthcare diagnostics, autonomous navigation, and security surveillance, fuelling demand for sophisticated image-processing solutions. This paper describes an innovative approach to AI image processing that combines multi-sensor data fusion with convolutional neural networks (CNNs) within a fuzzy neural network framework. This integration uses data from various sensors, including cameras, lidar, and radar, to improve the robustness and precision of image analysis and interpretation. The T-S model serves as the foundation for the information fusion strategy. A comprehensive investigation of deep learning algorithms reveals inherent strengths such as robustness and parallelism. However, it also identifies limitations, particularly in image segmentation tasks, characterized by challenges like premature convergence and prolonged computation times. The paper proposes a quantization technique for deep learning algorithms to address these issues and introduces chaotic optimization to expedite convergence rates. It also presents a novel three-dimensional Otsu threshold segmentation method based on CNNs, which overcomes noise susceptibility in traditional two-dimensional approaches. Integrating Gray morphology and this three-dimensional Otsu threshold segmentation method results in the development of a three-dimensional Gray Otsu model. This model is the basis for designing a fitness function for the CNN algorithm, optimizing its efficacy. Experimental validation demonstrates the proposed algorithm's effectiveness, achieving an impressive 91% accuracy rate while displaying robust noise resistance and versatility. Comparative assessments against other leading AI architectures, including multilayer perceptron, radial basis function network, r
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