Quantum Textbook for Quantum Computing

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For those seeking a textbook on quantum computing with a focus on algorithms rather than physics, "Quantum Algorithms via Linear Algebra: A Primer" by Lipton and Regan is highly recommended. This book emphasizes algorithms and basic finite-dimensional matrices, making it accessible for readers with a strong math background. It avoids complex Dirac notation, favoring standard matrix notation, which is beneficial for those without a physics background. While the book provides valuable insights, readers may need some knowledge of number theory to fully grasp later chapters, particularly those discussing Shor's algorithms. For topological quantum computing, it is suggested to explore resources after completing studies in algebraic topology, though specific recommendations for that topic were not provided in the discussion.
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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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