Akira Kyle | Blogoroam

Created: February 9, 2019

Last modified: May 27, 2023

Testing this website’s org export to html

Org Markdown

  • code
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Table

Weekly report starting on: [2018-09-10 Mon]

Headline Time    
Total time 1d 13:58    
QuantumComp 12:00    
  Homeworks   9:00  
    hw1     9:00
  Lectures   3:00  
    lec3     1:30
    lec4     1:30
SpectralGraph 4:30    
  Lectures   4:30  
    lec3     1:30
    lec4     1:30
    lec5     1:30
Logic 8:55    
  Homeworks   8:55  
    hw2     8:55

Equations

A Bell state is

\begin{align} \ket{\Phi} = \frac{1}{\sqrt{2}}\pqty{\ket{00}+\ket{11}} \end{align}

The which can be obtained from a Haddamard and CNOT gate: \[H= \frac{1}{\sqrt{2}}\pmqty{1&1\\1&-1}\] \[CNOT= \pmqty{1&0&0&0\\0&1&0&0\\0&0&0&1\\0&0&1&0}\] applied as such \(CNOT((H\ket{0})\otimes\ket{0}) = \ket{\Phi}\) 1

References

(Peskin 2018; Srednicki 2007)

Tikz

\newcommand{\lightenvalue}{45}
\begin{tikzpicture}[scale=0.7,
node/.style={black,fill=gray,radius=0.1},
lnode/.style={black!\lightenvalue,fill=gray!\lightenvalue,radius=0.1},
edge/.style={very thick}
]
\draw[dashed,black!\lightenvalue] (-12,-12) -- (-12,12) -- (12,12) -- (12,-12) -- cycle;
\draw[dashed,black!\lightenvalue] (-4,12) -- (-4,-12);
\draw[dashed,black!\lightenvalue] (4,12) -- (4,-12);
\draw[dashed,black!\lightenvalue] (-12,4) -- (12,4);
\draw[dashed,black!\lightenvalue] (-12,-4) -- (12,-4);
\draw[dashed] (-4,-4) -- (-4,4) -- (4,4) -- (4,-4) -- cycle;

\newcommand{\nodes}{a/0/0, b/1/2, c/2/0, d/1/-2, e/-1/2, f/-2/0, g/-1/-2}
\newcommand{\vnodes}{b1/1/4, b2/2.5/4, b3/4/4,
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                     gc1/-2.5/4, gc2/-4/2.3}
\newcommand{\edges}{a/b, a/c, a/d, a/e, a/f, a/g,
                    b/c, b/e, c/d, d/g, e/f, f/g}
% darkgray, lightgray, olive, orange, pink, purple, teal, violet and white
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                     g/g1/blue, g/g2/cyan, g/g3/lime,
                     bf1/bf2/green, gc1/gc2/cyan}

\foreach \l/\x/\y in \nodes \coordinate (\l) at (\x,\y);
\foreach \l/\x/\y in \vnodes \coordinate (\l) at (\x,\y);
\foreach \u/\v in \edges \draw[edge] (\u) -- (\v);
\foreach \u/\v/\c in \cedges \draw[edge,\c] (\u) -- (\v);
\foreach \l/\x/\y in \nodes \draw[node] (\l) circle;

\foreach \d/\xo/\yo in {n/0/8, s/0/-8, e/8/0, w/-8/0,
                        nw/-8/8, sw/-8/-8, ne/8/8, se/8/-8} 
{
\foreach \l/\x\y in \nodes \coordinate (\d\l) at (\x+\xo,\y+\yo);
\foreach \l/\x/\y in \vnodes \coordinate (\d\l) at (\x+\xo,\y+\yo);
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\foreach \u/\v/\c in \cedges \draw[edge,\c!\lightenvalue] (\d\u) -- (\d\v);
\foreach \l/\x/\y in \nodes \draw[lnode] (\d\l) circle;
}

\end{tikzpicture}
k7-test.svg

jupyter python block

Printing

print("hello world!") (sc)

hello world!

To print “hello world!” see sc

Long running block

import time
time.sleep(20)
time.strftime("The time is %a, %d %b %Y %H:%M:%S", time.localtime())

The time is Thu, 23 Feb 2023 00:01:35

References:

Peskin, Michael E. 2018. An Introduction to Quantum Field Theory. CRC Press. https://doi.org/10.1201/9780429503559.
Srednicki, Mark. 2007. Quantum Field Theory. Cambridge University Press. https://doi.org/10.1017/cbo9780511813917.

Backlinks:

Footnotes:

1

Wikipedia: Creating EPR states