Efficient Quantum Algorithm for Similarity Measures for Molecules
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Theoretical Physics"
DOI: 10.1007/s10773-018-3805-4
Abstract: The similarity measures for molecules play an important role for research in chemistry, biology and drug design. In order to obtain similarity measures for giant molecules such as muscle protein titin, the existing classical algorithms… read more here.
Keywords: efficient quantum; algorithm; quantum algorithm; measures molecules ... See more keywords
Quantum QR decomposition in the computational basis
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DOI: 10.1007/s11128-020-02777-4
Abstract: In this paper, we propose a quantum algorithm for approximating the QR decomposition of any $$N\times N$$ N × N matrix with a running time $$O(\frac{1}{\epsilon ^2}$$ O ( 1 ϵ 2 $$N^{2.5}\text {polylog}(N))$$ N… read more here.
Keywords: quantum; polylog; quantum algorithm; time ... See more keywords
An exact quantum algorithm for testing 3-junta in Boolean functions with one uncomplemented product
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DOI: 10.1007/s11128-020-02953-6
Abstract: This paper modifies Chen’s algorithm, which is the first exact quantum algorithm for testing 2-junta, and proposes an exact quantum learning algorithm for finding dependent variables of the Boolean function $$ f: \left\{ {0, 1}… read more here.
Keywords: exact quantum; uncomplemented product; quantum algorithm; one uncomplemented ... See more keywords
Variational quantum algorithm with information sharing
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DOI: 10.1038/s41534-021-00452-9
Abstract: We introduce an optimisation method for variational quantum algorithms and experimentally demonstrate a 100-fold improvement in efficiency compared to naive implementations. The effectiveness of our approach is shown by obtaining multi-dimensional energy surfaces for small… read more here.
Keywords: algorithm information; quantum; information; quantum algorithm ... See more keywords
Quantum algorithm for spectral projection by measuring an ancilla iteratively
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DOI: 10.1103/physreva.101.032339
Abstract: We propose a quantum algorithm for projecting to eigenstates of any hermitian operator, provided one can access the associated control-unitary evolution and measurement of the ancilla of the control. The procedure is iterative and the… read more here.
Keywords: projection measuring; quantum algorithm; spectral projection; algorithm spectral ... See more keywords
Variational quantum algorithm based on the minimum potential energy for solving the Poisson equation
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review A"
DOI: 10.1103/physreva.104.052409
Abstract: Computer-aided engineering techniques are indispensable in modern engineering developments. In particular, partial differential equations are commonly used to simulate the dynamics of physical phenomena, but very large systems are often intractable within a reasonable computation… read more here.
Keywords: poisson equation; solving poisson; quantum algorithm; quantum ... See more keywords
Quantum algorithm for support matrix machines
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DOI: 10.1103/physreva.96.032301
Abstract: We propose a quantum algorithm for support matrix machines (SMMs) that efficiently addresses an image classification problem by introducing a least-squares reformulation. This algorithm consists of two core subroutines: a quantum matrix inversion (Harrow-Hassidim-Lloyd, HHL)… read more here.
Keywords: algorithm support; support matrix; quantum algorithm; matrix machines ... See more keywords
Quantum algorithm for simulating the wave equation
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DOI: 10.1103/physreva.99.012323
Abstract: We present a quantum algorithm for simulating the wave equation under Dirichlet and Neumann boundary conditions. The algorithm uses Hamiltonian simulation and quantum linear system algorithms as subroutines. It relies on factorizations of discretized Laplacian… read more here.
Keywords: simulating wave; quantum algorithm; wave equation; equation ... See more keywords
Quantum algorithm for visual tracking
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DOI: 10.1103/physreva.99.022301
Abstract: Visual tracking (VT) is the process of locating a moving object of interest in a video. It is a fundamental problem in computer vision, with various applications in human-computer interaction, security and surveillance, robot perception,… read more here.
Keywords: visual tracking; quantum algorithm; algorithm visual; computer ... See more keywords
Quantum algorithm and quantum circuit for A-optimal projection: Dimensionality reduction
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DOI: 10.1103/physreva.99.032311
Abstract: Learning low dimensional representation is a crucial issue for many machine learning tasks such as pattern recognition and image retrieval. In this article, we present a quantum algorithm and a quantum circuit to efficiently perform… read more here.
Keywords: quantum circuit; quantum algorithm; circuit; algorithm quantum ... See more keywords
Operating Quantum States in Single Magnetic Molecules: Implementation of Grover's Quantum Algorithm.
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DOI: 10.1103/physrevlett.119.187702
Abstract: Quantum algorithms use the principles of quantum mechanics, such as, for example, quantum superposition, in order to solve particular problems outperforming standard computation. They are developed for cryptography, searching, optimization, simulation, and solving large systems… read more here.
Keywords: quantum; grover quantum; operating quantum; quantum algorithm ... See more keywords