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Trapped Ion Quantum Computing
A Quantum Mechanics Picture
arXiv
Authors: Jeconias Rocha GuimarĂ£es
Year
2016
Paper ID
41584
Status
Preprint
Abstract Read
~2 min
Abstract Words
192
Citations
N/A
Abstract
A quantum mechanics representation based on position $vec{r}$, linear momentum$vec{p}$ and energy(E) eigenvalues is presented here. A set of equations, explicitly independent on wave function, was derived relating these observables. In this view, a particle has a known trajectory and at any point on space there is a linear momentum associated. Trajectory here, can be viewed as if a measurement were taken continuously. This picture does not change current quantum mechanics interpretation, rather it comes as a new route of calculation. Also, wave function can be retrieved performing an integration in all space for linear momentum. Equations derived in this work, present a potential dependent on linear momentum originating what we call quantum force. A particle experiences a total force whose resultant is composed by classic and quantum force, evolving on time according to it. In terms of evaluation, a single particle could be described by a set of auxiliary particles named as wave particles(WP). They will start with a range of initial conditions and will collectively describe probabilistic aspects of quantum mechanics. We expect this route could be applied to many problems, such as multi-body systems.
Why This Paper Matters
- This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
- It adds a 2016 reference point for readers tracking recent quantum research.
- A quantum mechanics representation based on position vecr, linear momentumvecp and energy(E) eigenvalues is presented here.
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