Ciro Santilli @cirosantilli 37

init: [1, 0, 0, 0, 0, 0, 0, 0]
qc
     ┌──────────────────────────────┐┌──────┐
q_0: ┤0                             ├┤0     ├
     │                              ││      │
q_1: ┤1 Initialize(1,0,0,0,0,0,0,0) ├┤1 QFT ├
     │                              ││      │
q_2: ┤2                             ├┤2     ├
     └──────────────────────────────┘└──────┘
transpiled qc
     ┌──────────────────────────────┐                                     ┌───┐   
q_0: ┤0                             ├────────────────────■────────■───────┤ H ├─X─
     │                              │              ┌───┐ │        │P(π/2) └───┘ │ 
q_1: ┤1 Initialize(1,0,0,0,0,0,0,0) ├──────■───────┤ H ├─┼────────■─────────────┼─
     │                              │┌───┐ │P(π/2) └───┘ │P(π/4)                │ 
q_2: ┤2                             ├┤ H ├─■─────────────■──────────────────────X─
     └──────────────────────────────┘└───┘
Statevector([0.35355339+0.j, 0.35355339+0.j, 0.35355339+0.j,
             0.35355339+0.j, 0.35355339+0.j, 0.35355339+0.j,
             0.35355339+0.j, 0.35355339+0.j],
            dims=(2, 2, 2))

init: [0.0, 0.35355339059327373, 0.5, 0.3535533905932738, 6.123233995736766e-17, -0.35355339059327373, -0.5, -0.35355339059327384]
Statevector([ 7.71600526e-17+5.22650714e-17j,
              1.86749130e-16+7.07106781e-01j,
             -6.10667421e-18+6.10667421e-18j,
              1.13711443e-16-1.11022302e-16j,
              2.16489014e-17-8.96726857e-18j,
             -5.68557215e-17-1.11022302e-16j,
             -6.10667421e-18-4.94044770e-17j,
             -3.30200457e-16-7.07106781e-01j],
            dims=(2, 2, 2))

So this also serves as a more interesting example of quantum compilation, mapping the QFT gate to Qiskit Aer primitives.

If we don't transpile in this example, then running blows up with:

qiskit_aer.aererror.AerError: 'unknown instruction: QFT'

The second input is:

x_{i} = \frac{1}{2} s in (2 * π * i /8)

(1)

and the output of that approximately:

[0, 1j/sqrt(2), 0, 0, 0, 0, 0, 1j/sqrt(2)]

which can be defined simply as the normalized DFT of the input quantum state vector.

From this we see that the Quantum Fourier transform is equivalent to a direct discrete Fourier transform on the quantum state vector, related: physics.stackexchange.com/questions/110073/how-to-derive-quantum-fourier-transform-from-discrete-fourier-transform-dft

 Read the full article

Chrome Android extension Updated 2025-07-16

 View more

Lol it is note possible what a joke. Notably this makes it harder to have of a superior third party password manager like Proton Pass (though there seems to be an autocomplete app as an alternative path), and an ad blocker. Fuck Google.

Also, Chromium is not available on Google Play by default, you can install the apk, but you will miss updates:

www.quora.com/Is-it-possible-to-install-Chromium-on-my-Android-11-smartphone-If-not-why

 Read the full article

College of the University of Oxford Updated 2025-07-16

 View more

A good explanation of how this insane system came up is given at Video "History of Oxford University by Chris Day (2018)".

As if it weren't enough, there are also the 6 Halls: permanent private hall.

The colleges are controlled by its fellows, a small self-electing body of highly successful scholars, usually in the dozens per college number it seems. Each college also usually has different types of fellows, e.g. see he university college page: www.univ.ox.ac.uk/about/college-fellowships/ (archive)

The college system does has its merits though, as it instates a certain sense of Hogwarts "belonging" to a certain group, so it might help students get better support for their learning projects from older students, or through the tutoring system. Of course, all such "belonging" feelings are bad, the correct thing would be to make great online tutorials for all, and answer questions in the open. But oh well, humans are dumb.

The college you are in impacts the quality of your courses, because tutorials are per-college. As of 2023, Ciro Santilli spoke to some students of the Computer science course of the University of Oxford, and was told that in some cases where you don't have anyone who can give the tutorial, you instead get a "class", i.e. a P.h.D. student going through question sheets with no interaction in the C.S. department, rather than a deep interactive discussion over the college fire. How can this system be so broken, it is beyond belief

This functionality is somewhat related to fraternities and sororities in 2000's United States.

 Read the full article

Assign the hard task to the lazy person Updated 2025-11-05

 View more

quoteinvestigator.com/2014/02/26/lazy-job/ (archive):

I will always choose a lazy person to do a difficult job because a lazy person will find an easy way to do it.