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Quantum computation with harmonic oscillators [PDF]
Summary form only given. The use of continuous-variable (CV) quantum computing allows information to be encoded and processed much more compactly and efficiently than with discrete-variable (qubit) computing. That is, with CV realizations, one can perform quantum information processes using fewer coupled quantum systems: a considerable advantage for ...
H. de Guise+2 more
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Lissajous curves and semiclassical theory: The two-dimensional harmonic oscillator [PDF]
The semiclassical treatment of the two-dimensional harmonic oscillator provides an instructive example of the relation between classical motion and the quantum mechanical energy spectrum.
Brack M.+5 more
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Discrete Quantum Harmonic Oscillator [PDF]
In this paper, we propose a discrete model for the quantum harmonic oscillator. The eigenfunctions and eigenvalues for the corresponding Schrödinger equation are obtained through the factorization method. It is shown that this problem is also connected with the equation for Meixner polynomials.
Dobrogowska, Alina+1 more
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Information-Theoretic Models for Physical Observables
This work addresses J.A. Wheeler’s critical idea that all things physical are information-theoretic in origin. In this paper, we introduce a novel mathematical framework based on information geometry, using the Fisher information metric as a particular ...
D. Bernal-Casas, J. M. Oller
doaj +1 more source
This research aims i) to determine the density profile and calculate the ground state energy of a quantum dot in two dimensions (2D) with a harmonic oscillator potential using orbital-free density functional theory, and ii) to understand the effect of ...
Suhufa Alfarisa+2 more
doaj +1 more source
Quantum microwave transmission is key to realizing modular superconducting quantum computers and distributed quantum networks. A large number of incoherent photons are thermally generated within the microwave frequency spectrum.
Montasir Qasymeh, Hichem Eleuch
doaj +1 more source
Exact diagonalization of the D-dimensional spatially confined quantum harmonic oscillator [PDF]
In the existing literature various numerical techniques have been developed to quantize the confined harmonic oscillator in higher dimensions. In obtaining the energy eigenvalues, such methods often involve indirect approaches such as searching for the ...
Kunle Adegoke+4 more
doaj +1 more source
Transition to sub-Planck structures through the superposition of q-oscillator stationary states [PDF]
We investigate the superposition of four different quantum states based on the q-oscillator. These quantum states are expressed by means of Rogers-Szego polynomials.
Jafarov, EI, Van der Jeugt, Joris
core +3 more sources
Semiclassical superoscillations: interference, evanescence, post-WKB
The concept of superoscillations is extended beyond bandlimited functions, to include monochromatic waves in space-varying media, such as wavefunctions representing quantum particles in non-constant potentials.
M V Berry, Pragya Shukla
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The inverted harmonic oscillator problem is investigated quantum mechanically. The exact wave function for the confined inverted oscillator is obtained and it is shown that the associated energy eigenvalues are discrete and it is given as a linear ...
A Coruh+8 more
core +2 more sources