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High-precision quantum algorithms for partial differential equations [PDF]
Quantum, 2021 Quantum computers can produce a quantum encoding of the solution of a system of differential equations exponentially faster than a classical algorithm can produce an explicit description.
Andrew M. Childs +2 more
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A typology of quantum algorithms
CoRRWe draw the current landscape of quantum algorithms, by classifying about 130 quantum algorithms, according to the fundamental mathematical problems they solve, their real-world applications, the main subroutines they employ, and several other relevant criteria. The primary objectives include revealing trends of algorithms, identifying promising fields
Pablo Arnault +4 more
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A Quantum Processing Framework for Quantum Algorithms
Majlesi Journal of Electrical EngineeringThe focus of this study is on developing a framework for a Quantum Algorithm Processing Unit (QAPU) with the hybrid architecture for classical-quantum algorithms. The framework is used to increase the implementation performance of quantum algorithms and
Mohammad Reza Soltan Aghaei +1 more
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Quantum Algorithms for Hopcroft's problem [PDF]
ACM Transactions on Quantum ComputingIn this work, we study quantum algorithms for Hopcroft’s problem which is a fundamental problem in computational geometry. Given n points and n lines in the plane, the task is to determine whether there is a point-line incidence.
Vladimirs Andrejevs +2 more
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Coherence Depletion in Quantum Algorithms. [PDF]
Entropy (Basel), 2019 Besides the superior efficiency compared to their classical counterparts, quantum algorithms known so far are basically task-dependent, and scarcely any common features are shared between them. In this work, however, we show that the depletion of quantum
Liu YC, Shang J, Zhang X.
europepmc +2 more sources
TOOLS FOR QUANTUM ALGORITHMS [PDF]
International Journal of Modern Physics C, 1999 We present efficient implementations of a number of operations for quantum computers. These include controlled phase adjustments of the amplitudes in a superposition, permutations, approximations of transformations and generalizations of the phase adjustments to block matrix transformations.
Hogg, Tad +3 more
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Quantum Relief algorithm [PDF]
Quantum Information Processing, 2018 Relief algorithm is a feature selection algorithm used in binary classification proposed by Kira and Rendell, and its computational complexity remarkable increases with both the scale of samples and the number of features. In order to reduce the complexity, a quantum feature selection algorithm based on Relief algorithm, also called quantum Relief ...
Wenjie Liu 0001 +4 more
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AppliedMath, 2022 Shor’s algorithm for prime factorization is a hybrid algorithm consisting of a quantum part and a classical part. The main focus of the classical part is a continued fraction analysis.
Johanna Barzen, Frank Leymann
doaj +1 more source