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On Quantum Methods for Machine Learning Problems Part I: Quantum Tools
Big Data Mining and Analytics, 2020 This is a review of quantum methods for machine learning problems that consists of two parts. The first part, "quantum tools", presents the fundamentals of qubits, quantum registers, and quantum states, introduces important quantum tools based on known ...
Farid Ablayev +5 more
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A panoply of quantum algorithms [PDF]
Quantum Information and Computation, 2008 This paper's aim is to explore improvements to, and applications of, a fundamental quantum algorithm invented by Grover\cite{grover}. Grover's algorithm is a basic tool that can be applied to a large number of problems in computer science, creating quantum algorithms that are polynomially faster than fastest known and fastest possible classical ...
openaire +4 more sources
Quantum Algorithms for Estimating Quantum Entropies
Physical Review Applied, 2023 36 pages, 8 ...
Youle Wang, Benchi Zhao, Xin Wang
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Optical Realization of Wave-Based Analog Computing with Metamaterials
Applied Sciences, 2020 Recently, the study of analog optical computing raised renewed interest due to its natural advantages of parallel, high speed and low energy consumption over conventional digital counterpart, particularly in applications of big data and high-throughput ...
Kaiyang Cheng +5 more
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Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians [PDF]
IEEE Annual Symposium on Foundations of Computer Science, 2018 We study the problem of simulating the time evolution of a lattice Hamiltonian, where the qubits are laid out on a lattice and the Hamiltonian only includes geometrically local interactions (i.e., a qubit may only interact with qubits in its vicinity ...
Jeongwan Haah +3 more
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Operational Algorithms for Separable Qubit X States
Condensed Matter, 2019 This work motivates and applies operational methodology to simulation of quantum statistics of separable qubit X states. Three operational algorithms for evaluating separability probability distributions are put forward.
Demosthenes Ellinas
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Stochastic emulation of quantum algorithms
New Journal of Physics, 2022 Quantum algorithms profit from the interference of quantum states in an exponentially large Hilbert space and the fact that unitary transformations on that Hilbert space can be broken down to universal gates that act only on one or two qubits at the same
Daniel Braun, Ronny Müller
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Quantum Weighted Fractional Fourier Transform
Mathematics, 2022 Quantum Fourier transform (QFT) is an important part of many quantum algorithms. However, there are few reports on quantum fractional Fourier transform (QFRFT).
Tieyu Zhao, Tianyu Yang, Yingying Chi
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A Hybrid Quantum Encoding Algorithm of Vector Quantization for Image Compression
, 2006 Many classical encoding algorithms of Vector Quantization (VQ) of image compression that can obtain global optimal solution have computational complexity O(N).
Grover L K +11 more
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Quantum Phase Estimation Algorithm for Finding Polynomial Roots
Open Physics, 2019 Quantum algorithm is an algorithm for solving mathematical problems using quantum systems encoded as information, which is found to outperform classical algorithms in some specific cases.
Tansuwannont Theerapat +3 more
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