Michael Nielsen as in "Quantum Computing and Quantum Information"? If so great book.

Nielsen, Michael A.; Chuang, Isaac L. Quantum Computation and Quantum Information. p. 202 is what you want ;)

Leonard Susskind's "Quantum Mechanics: The Theoretical Minimum" as well as Nielsen & Chuang's "Quantum Computation and Quantum Information" are also fantastic resources. I've got both sitting here on my desk :)

If someone wants a more detailed explanation about the gates mentioned in the blog, consider reading the introductory chapter to 'Quantum Computation and Quantum Information' by Neilsen and Chuang.

The classic book is:

- Quantum Computation and Quantum Information by Michael A. Nielsen Isaac L. Chuang

A bit gentler introduction:
- Quantum Computing: A Gentle Introduction by Eleanor G. Rieffel

Scott Aaronson's blog and his lectures notes at MIT. His book "Quantum Computing since Democritus" is quite great as well, no matter whether you are a researcher or just a layman.

If you want to delve deeper in the Quantum Physics side of things try "Quantum Computation and Quantum Information" by Nielsen and Chuang (PhD level textbook).

Quantum Computation and Quantum Information by Isaac Chuang and Michael Nielsen. Prepare your linear algebra skills over complex numbers.

I'm currently taking a class of QC and we're following the book "Quantum Computation and Quantum Information" by Michael Nielsen and Isaac Chuang: I find it very clear and it doesn't assume prior experience/knowledge of the topic.
I suggest you to give a look.

This is really great and excites me both as an RC/HS alumnus and a (quantum) physicist that loves Nielsen/Chuang's book on "Quantum Computation and Quantum Information". As an experimentalist that book helped me so much in understanding quantum state/process tomography and quantum algorithms. Today it is still the go-to reference for "practical quantum computing" and (IMHO) by far the most accessible and thorough reference on the principles of quantum computing.

What I find even more exciting is that he wants to work on improving software development, something that I'm trying to do as at withquantifiedcode.com .

I guess I have the perfect excuse now to apply for another batch of RC :D

If you are comfortable (mathematically) with the idea of "a gate" and "a qubit", then Wikipedia is surprisingly good at explaining what each new gate does.

Otherwise the standards reference that starts from scratch (prerequisites being linear algebra and intro quantum mechanics) is Quantum Computation and Quantum Information by Nielsen and Chuang. It is a very thick book and it takes a sustained effort to read it, but stackexchange is always eager to help. Preskill's lecture notes are amazing as well.

Regrettably, I do not know of a good book that does not have the prerequisites I mentioned.

As mentioned in a footnote in the blog post, I think Gelfand and Fomin’s “Calculus of Variations” is very clear on its topic. Wald's "General Relativity" is slow-going, but excellent. No good textbooks on quantum mechanics or QFT exist; Weinberg's "Quantum Theory of Fields" is probably the least terrible on that. Nielsen and Chuang's "Quantum Computation and Quantum Information" is still excellent, but pretty out-of-date.

Also, to be clear, I haven't worked through most of Sussman, so I can't recommend it one way or the other. I was just commenting on the handling of the Legendre transform.

Yanofsky and Manucci's "Quantum Computing for Computer Scientists" is a smooth intro if you come from a CS background.

Nielsen and Chuang's "Quantum Computation and Quantum Information" is more thorough and advanced from a mathematical point of view. But it contains a primer on the linear algebra required.

Quantum Computation and Quantum Information, a.k.a "Mike and Ike" is the authoritative textbook in the field. It also happens to be very readable and beginner friendly. It's well worth reading the introduction to QC in the first twelve pages and skimming the first sixty. And the rest, as time/interest permits.

Quantum Computation and Quantum Information by Nielsen and Chuang is the standard introduction to quantum computing. Besides that, you can find some old CS191 Vazirani lectures on the internet.

I'm not sure what's college level physics like, but for me (math/CS background) learning quantum physics was:

- Quantum algorithms and computing: "Quantum Computing Since Democritus" by Scott Aaronson [0] and "Quantum Computation and Quantum Information" by Nielsen and Chuang [1]. "Quantum Computer Science" by Mermin is really good too.

- Leonard Susskind's lectures on quantum mechanics [3]

- "Introduction to Quantum Mechanics" by David Griffiths [4] -- just your regular QM textbook. Recommended by many and I found the explanations clear and easy to follow

- also there are some recommendations by John Baez [5], that I've personally not checked out, but when Baez recommends something, it's good!

Note that I'm not a physicist and doing it only for fun, so would be interesting to hear from people with proper physics education!

[0] https://www.scottaaronson.com/democritus/

[1] https://en.wikipedia.org/wiki/Quantum_Computation_and_Quantu...

[2] https://www.cambridge.org/core/books/quantum-computer-scienc...

[3] https://theoreticalminimum.com/courses/quantum-mechanics/201...

[4] https://physicspages.com/Griffiths%20QM.html

[5] http://math.ucr.edu/home/baez/books.html#quantum_mechanics

"Duplication" was the wrong term, I should have said "destructive-read/write", which I did in another comment.

2. There is no teleportation in the common man, sci-fi interpretation. In order to effect the information transferral we need three times as many particles as we're transferring the information of. Per particle whose state is to be tranferred, we need two entangled particles and a target particle. To translate that to the "teleporting a thing" case, if you were to teleport a cake, you'd need a cake, two (entangled) cake-equivalent mass collections, and a target "generic particle collection" to be turned into "your cake" after running the QT algorithm. It's only teleportation if you pretend that triplicate wasted-once-used mass isn't there, which we can't do: it's there, and this is QT, not 'regular' teleportation (ignoring the fact that there is no such thing outside of works of fiction =)

3. fair enough, I simplified that the wrong way.

https://en.wikipedia.org/wiki/Quantum_entanglement and https://en.wikipedia.org/wiki/Quantum_entanglement#Applicati... might work better as highlighting links here, although something like "Quantum Computation and Quantum Information" by Nielsen and Chuang would be a much better reference.

3D Shape: Its Unique Place in Visual Perception by Zygmunt Pizlo. (I studied human gesture briefly in college so it caught my eye at a used book store. Pretty good cognitive science survey so far. Haven't gotten to the CS part yet, but I'm not knowledgeable in computer vision anyway so I couldn't really review it from that perspective.)

Quantum Computing and Quantum Information by Michael Nielsen and Isaac Chuang. (Beastly book. I actually find it to be a pretty well-written introduction so far, but I just barely have the background to plod through it.)

Hocus Pocus by Kurt Vonnegut. (S.O. loves Vonnegut, so I'm working my way through his collection. Great so far, though I don't always have the patience for goofy midwestern people humor, despite being a midwesterner myself.)

Alif the Unseen by G Willow Wilson. (Only a few pages in, but I have a weakness for fantasy-in-modern-day-setting novels and it came on a recommendation from a friend outside of the genre. On a similar note, I strongly recommend both of Nick Harkaway's novels, Angelmaker and Gone-Away World, which I recently reread.)

An accessible quick introduction. This abstract links to a 19-page pdf:

From Cbits to Qbits: Teaching computer scientists quantum mechanics N. David Mermin

https://arxiv.org/abs/quant-ph/0207118

After that, the textbook by Nielsen and Chuang, Quantum Computation and Quantum Information. It's a big book but
the first couple of chapters, 60 pages or so, are self-contained and make a good introduction.

The bible is Nielsen and Chuang's Quantum Computation and Quantum Information:
http://www.amazon.com/Quantum-Computation-Information-Cambri...
See also these resources in Nielsen's blog:
http://michaelnielsen.org/blog/writing/

I was going to jump in and say ECC

https://en.wikipedia.org/wiki/Elliptic_curve_cryptography

but, searching I found that it is apparently vulnerable to quantum computing attacks (wikipedia points me to: Nielsen, Michael A.; Chuang, Isaac L. Quantum Computation and Quantum Information. p. 202) and also found this:

http://www.mathcs.richmond.edu/~jad/summerwork/ellipticcurve...