Textbook for Quantum Computing

15adhami
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Hello, I am looking for a good textbook to learn quantum computing. My background is that I am a double major in math and computer science, and I pretty much don't know anything about quantum mechanics. I prefer something that is more computer science oriented, like quantum algorithms, rather than physics oriented. I have a strong math background so I am ok with more theoretical textbooks.

I am also currently studying algebraic topology, so I would also like a textbook on topological quantum computing that I can read after finishing my algebraic topology book.
 
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For your first request: look into Lipton and Regan's Quantum Algorithms via Linear Algebra: A Primer

its focus really is algorithms and basic finite dimensional matrices. Elementary but very good insights. Does not use Dirac notation which is a plus if you're not a physicist or for whatever reason prefer standard matrix notation. Later chapters that step through things like Shor's algorithms probably need some number theory background to be appreciated.

I have no idea about your second ask, but in any case I'd cross that bridge once you actually get there (or at least get close).
 

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