I try to immagine the hadamard gate on a bloch sphere and it is obvious that it is the sum of the pauli $x$ and $z$ gate matrices.So that means we rotate the "vector" around the x axe and ...

There's a lot of work done on random quantum circuits, and very often the story is that you start from a completely unentangled state, then random unitary gates act on it, and you generically end up ...

I'm working through a statistical mechanics problem and found somethingthat matches cosmological observations surprisingly well.Binary Entropy MaximizationConsider N distinguishable patches, each ...

This is my second attempt at this question, the first one got deleted because my question was lacking detail. My knowledge of this subject comes entirely from these two sources: Nimrod Moisyevitch, ...

I have coupled RGB laser light into 3 gratings on chip and projected the light into the the farfield and put a camera sensor on top of the beam. Here is the setup and the experiment.What I obsereved ...

I will describe two instances, that led me to ask the question of relevancy or meaningfulness of coordinates when we are not local in our observation of the universe, but rather we consider a large ...

Helmholtz free energy of a system of atoms (for example — a perfect crystal) at $0$ K can be obtained by performing a static density functional theory (DFT) calculation (neglecting the effects of zero ...

After reading Noether's theoram and many other examples like objects tendency to follow its geodesics in spacetime makes conserved quantities like momentum etc meaningful so , are energy and momentum ...

I am working on orbital uncertainty propagation where the initial uncertainty is given in Cartesian coordinates(𝑟,𝑣)(r,v), either as a covariance matrix or as bounded (non-statistical) ...

The equations of classical physics are time reversible -- unchanged when t is replaced by -t. The Schrodinger equation in quantum mechanics is time reversible -- unchanged when t is replaced by -t ...

Is there any practical significance of the convention of potential energy of a magnetic dipole in an uniform magnetic field?Suppose, in a vacuum, a magnetic field runs in the $y$ direction. Now we ...

I am struggling to resolve a thought experiment that deals with the behavior of an EM wave as it reaches the end of a tube.Assume a wave starts out traveling along the outside of a copper tube. The ...

How to calculate any expectation value from path integral in quantum mechanics? In QM path integral the initial and final points are fixed and points between them are varied. But as far as i ...

I am currently working through Witten's "Two Dimensional Gauge Theories revisited". He defines an operator (p.28, but the redefinition is for p.32)\begin{equation}D = \sum_i \psi^i \frac{\...

I need to numerically generate colored noise with a Power Spectral Density (PSD) $S(\omega,T) \propto \coth(\omega/T)$ (quantum thermal noise). I cannot use standard Spectral Synthesis (Inverse FFT) ...