Bell circuit Updated 2025-07-16
A quantum circuit which when fed with input produces the Bell state.
Figure 1.
Quantum circuit that generates the Bell state
. Source.
The fundamental intuition for this circuit is as follows.
First the Hadamard gate makes the first qubit be in a 50/50 state.
Then, the CNOT gate gets controlled by that 50/50 value, and the controlled qubit also gets 50/50 chance as a result.
However, both qubits are now entangled: the result of the second qubit depends on the result of the first one. Because:
Bell Labs Holmdel Complex Updated 2025-07-16
101 Crawfords Corner Rd Holmdel, NJ 07733 USA
It started with radio research apparently, including Karl Guthe Jansky.
They had a smaller building first: youtu.be/BPq_ZyOvbsg?t=51 and in 1962 opened the large new building.
Video 1.
Holmdel 20th Anniversary by AT&T Tech Channel (1982)
Source.
Video 2.
N.J.’s historic Bell Labs complex brought back to life as Bell Works by nj.com (2022)
Source. Shows the renewed building after the Bell Labs Holmdel Complex closure.
Bell Labs Murray Hill Updated 2025-07-16
600 Mountain Ave bldg 5, New Providence, NJ 07974, United States.
Became headquarters in 1967,
Drone footage: www.youtube.com/watch?v=z0Ld2KFjaC8 Bell LABS Headquarters Murray Hill NJ in 4K Drone Flight by ESTOUCHFPV (2017)
Notable inventions made there:
Bell test experiment Updated 2025-07-16
Some of the most remarkable ones seem to be:
Ben Bernanke Updated 2025-07-16
Bert Hubert Updated 2025-07-16
Co-founder of PowerDNS, an open source dNS implementation.
Homepage: berthub.eu/ says:
I sometimes contribute to science, I care a lot about Europe, innovation, biology & health
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All stuff Ciro cares about too! Cool dude! In particular Ciro loved his quote of I should have loved biology.
He's writing a fun-sounding book about molecular biology as of 2022: berthub.eu/dna-book. Appears to be closed source though. Ciro wonders if he really needs to sell the book for money after all those years though, rather than just publishing it online for free.
Looking at Bert just brings the Dutch Golden Age, and more in particular Antonie van Leeuwenhoek to mind. Epic.
Video 1.
How life is Digital by Bert Hubert (2021)
Source. Just a "boring" overview of the central dogma of molecular biology ;-)
Bessel function Updated 2025-07-16
Shows up when trying to solve 2D wave equation on a circular domain in polar coordinates with separation of variables, where we have to decompose the initial condition in termes of a fourier-Bessel series, exactly like the Fourier series appears when solving the wave equation in linear coordinates.
For the same fundamental reasons, also appears when calculating the Schrödinger equation solution for the hydrogen atom.
Biathlon Updated 2025-07-16
Elliptic curve Updated 2025-07-16
An elliptic curve is defined by numbers and . The curve is the set of all points of the real plane that satisfy the Equation 1. "Definition of the elliptic curves"
Equation 1.
Definition of the elliptic curves
.
Figure 1.
Plots of real elliptic curves for various values of and
. Source.
Equation 1. "Definition of the elliptic curves" definies elliptic curves over any field, it doesn't have to the real numbers. Notably, the definition also works for finite fields, leading to elliptic curve over a finite fields, which are the ones used in Elliptic-curve Diffie-Hellman cyprotgraphy.
Bicycles require too much maintenance Updated 2025-07-16
It is true, something Ciro Santilli often things about. One likely reason is that the world is broken and most cyclist are speed maniacs willing to put the time in. Unlike Dutch people where everyone cycles.
Big O notation family Updated 2025-07-16
This is a family of notations related to the big O notation. A good mnemonic summary of all notations would be:
Bilinear form Updated 2025-07-16
Analogous to a linear form, a bilinear form is a Bilinear map where the image is the underlying field of the vector space, e.g. .
Some definitions require both of the input spaces to be the same, e.g. , but it doesn't make much different in general.
The most important example of a bilinear form is the dot product. It is only defined if both the input spaces are the same.
Binet Gaussienne Updated 2025-07-16
This is likely a joke binet, but the idea is epic: its members would in principle take the hardest courses and purposefully get bad grades on them to improve the grades of others, as grades are always normalized to a normal distribution.
Biochemistry Updated 2025-07-16
iubmb.onlinelibrary.wiley.com/doi/full/10.1002/bmb.2002.494030030067 Surprises and revelations in biochemistry: 1950-2000 by Perry A. Frey (2006). This should be worth a read.

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