Results 51 to 60 of about 240,977 (170)
Coherent Dynamics of Quantum Systems with Non-Uniform Fourier Space Excited by Laser Radiation
Zanco Journal of Pure and Applied Sciences, 2022 The algorithm is presented to solve dynamical equations for excitation of molecular models with multiple energy levels. It uses only discrete structures: discrete orthogonal polynomials constructed specially in Fourier space of the probability amplitudes,
Sary Banjak , Vadim Savva
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Braided Groups and Quantum Fourier Transform
Journal of Algebra, 1994 The present paper is a good example of a close interaction between different categorical constructions related with quantum groups. In a previous paper the first author built the Hopf algebra \(F\) in any \(k\)- linear abelian ribbon tensor category \(\mathcal C\), and motivated from physics and low-dimensional topology defined invertible operators \({\
Lyubashenko, V., Majid, S.
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Quantum hashing and Fourier transform
Journal of Physics: Conference Series, 2020 In the paper based on the notion of small-biased sets we define the quantum transformation that describes the quantum hash function over the cyclic group. We discuss its similarity to the well-known Quantum Fourier Transform and show possible applications to constructing space-efficient algorithms in various computational scenarios, including two-party
Farid Ablayev, Alexander Vasiliev
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, 2009 Most quantum algorithms that give an exponential speedup over classical algorithms exploit the Fourier transform in some way. In Shor's algorithm, sampling from the quantum Fourier spectrum is used to discover periodicity of the modular exponentiation ...
Roetteler, Martin
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Quantum Fourier Transformation Circuits Compilation
, 2023 In this research paper, our primary focus revolves around the domain-specific hardware mapping strategy tailored for Quantum Fourier Transformation (QFT) circuits. While previous approaches have heavily relied on SAT solvers or heuristic methods to generate hardware-compatible QFT circuits by inserting SWAP gates to realign logical qubits with physical
Jin, Yuwei +6 more
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The Fourier Transform on Quantum Euclidean Space
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We study Fourier theory on quantum Euclidean space. A modified version of the general definition of the Fourier transform on a quantum space is used and its inverse is constructed.
Kevin Coulembier
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Operator-Schmidt decomposition of the quantum Fourier transform on C^N1 tensor C^N2
, 2003 Operator-Schmidt decompositions of the quantum Fourier transform on C^N1 tensor C^N2 are computed for all N1, N2 > 1. The decomposition is shown to be completely degenerate when N1 is a factor of N2 and when N1>N2. The first known special case, N1=N2=2^n,
Jon Tyson +5 more
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Beilstein Journal of Nanotechnology, 2018 A tunable fractional Fourier transform of the quantum wave function of electrons satisfying either the Schrödinger or the Dirac equation can be implemented in an atomically thin material by a parabolic potential distribution applied on a direction ...
Daniela Dragoman
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Multidimensional Quantum Fourier Transformation
, 2023 The Quantum Fourier Transformation (QFT) is a well-known subroutine for algorithms on qubit-based universal quantum computers. In this work, the known QFT circuit is used to derive an efficient circuit for the multidimensional QFT. The complexity of the algorithm is $\mathcal{O}( \log^2(M)/d )$ for an array with $M=(2^n)^d$ elements $(n \in \mathbb{N})$
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Quantum Computing and a Unified Approach to Fast Unitary Transforms
, 2002 A quantum computer directly manipulates information stored in the state of quantum mechanical systems. The available operations have many attractive features but also underly severe restrictions, which complicate the design of quantum algorithms.
Agaian, Sos S., Klappenecker, Andreas
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