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I think this will answer your question. How does the CNOT between qubits one and three work? $$\left|000\right\rangle \to \left|000\right\rangle$$ $$\left|001\right\rangle \to \left|001\right\rangle$$ $$\left|010\right\rangle \to \left|010\right\rangle$$ $$\left|011\right\rangle \to \left|011\right\rangle$$ $$\left|100\right\rangle \to ...


That's a lofty goal for someone with no knowledge of plasma physics. I suggest you contact a group that has already been working on this and offer their code for free use: Our most recent, popular and well kept up codes are on bounded plasma, plasma device codes XPDP1, XPDC1, XPDS1, and XPDP2. The P, C, and S mean planar, cylindrical, or spherical ...


The formula you use to calculate the skin depth is just an approximation and not necessarily valid at THz frequencies. How do you model the optical properties of gold in your simulation? If you know the refractive index $n$ at a given frequency $\omega$, you can easily calculate the exact skin depth ($1/e$ amplitude decay length): $c/(\omega\text{Im}(n))$


The criteria is $$ \mbox{center to center distance} \le \mbox{radius 1} + \mbox{radius 2} $$ BAM!


I think you have too many parameters, and not all of the necessary ones To simplify your thinking: Change to a frame of reference in which one billiard ball is initially at rest at the origin, and the second is moving at velocity $V$ from right to left along the straight line $$y=k, \,k>=0$$ A collision will take place if and only if $k<2\sigma$. ...


There is a great paper from the group of Howard Stone on this subject: Wetting of flexible fibre arrays (freely available here, but for some reason I am not allowed to link to it normally: They specifically study when 2 closely positioned parallel fibers (i.e. hairs) clump ...


This probably isn't exactly what you're looking for, but if you're looking for the time-independent bound states of a system, the Fourier grid Hamiltonian method may be applicable. Here is an application of it to the following strange-looking potential well: Here are a few low-energy bound states: And here are some of the high-energy ...


There are some simulation tools available online, but whether they are useful to you depends on the details of your requirements. Check out the list of quantum simulators here. Or this one.


I'm not sure if it would necessarilly lead to such an instability, as Joce says for a first order method you'll need a really small time step to maintain any accuracy, but at the moment your acceleration is very wrong. What you effectively have here is ${\bf a} = - \frac{GM}{r^2} {\bf r}$ when you want ${\bf a} = - \frac{GM}{r^2} {\bf \hat{r}}$ (or ${\bf ...


The time discretisation you have chosen is an explicit Euler scheme. In order for it to be stable, you need the time step to be low enough, see e.g. wikipedia. You could use an implicit method, or increase the order of the method, but in any case there will always be a numerical drift in the orbits, proportional to the numerical accuracy. This can be ...


Sorry, but there's no obvious way to figure out this stuff a priori. It depends critically on things like how smooth the surfaces are. And it does not, to a first approximation, depend on surface area. About all you can tell about sliding vs static friction is that sliding friction is less than static.

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