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The perception that mathematics is difficult has always persisted. Nevertheless, mathematics is such an essential component of STEM education. Quantum technologies are already having enormous effects on our society, with advantages seen across a broad ...
Meng-Leong How
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Towards Realising Secure and Efficient Image and Video Processing Applications on Quantum Computers
Exploiting the promise of security and efficiency that quantum computing offers, the basic foundations leading to commercial applications for quantum image processing are proposed. Two mathematical frameworks and algorithms to accomplish the watermarking
Abdullah M. Iliyasu
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A universal quantum circuit design for periodical functions
We propose a universal quantum circuit design that can estimate any arbitrary one-dimensional periodic functions based on the corresponding Fourier expansion.
Junxu Li, Sabre Kais
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Quantum-Solving Algorithm for d’Alembert Solutions of the Wave Equation
When faced with a quantum-solving problem for partial differential equations, people usually transform such problems into Hamiltonian simulation problems or quantum-solving problems for linear equation systems.
Yuanye Zhu
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Quantum Algorithms for Estimating Quantum Entropies
36 pages, 8 ...
Youle Wang, Benchi Zhao, Xin Wang
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Quantum homotopy perturbation method for nonlinear dissipative ordinary differential equations
While quantum computing provides an exponential advantage in solving linear differential equations, there are relatively few quantum algorithms for solving nonlinear differential equations.
Cheng Xue, Yu-Chun Wu, Guo-Ping Guo
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The information technology of a robust intelligent control system design based on quantum fuzzy inference is considered. The application of the developed design methodology is based on the quantum self-organization of imperfect knowledge bases of fuzzy ...
Ulyanov, S.V.+2 more
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Quantum algorithmic entropy [PDF]
We extend algorithmic information theory to quantum mechanics, taking a universal semicomputable density matrix (``universal probability'') as a starting point, and define complexity (an operator) as its negative logarithm. A number of properties of Kolmogorov complexity extend naturally to the new domain. Approximately, a quantum state is simple if it
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We present an exact quantum algorithm for solving the Exact Satisfiability problem, which belongs to the important NP-complete complexity class. The algorithm is based on an intuitive approach that can be divided into two parts: the first step consists ...
Salvatore Mandrà+2 more
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Quantum computers with tens to hundreds of noisy qubits are being developed today. To be useful for real-world applications, we believe that these near-term systems cannot simply be scaled-down non-error-corrected versions of future fault-tolerant large ...
Xiang Zou+9 more
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