Textbook for Quantum Computing

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SUMMARY

The discussion centers on recommended textbooks for learning quantum computing, specifically for individuals with a strong background in mathematics and computer science but limited knowledge of quantum mechanics. A key recommendation is "Quantum Algorithms via Linear Algebra: A Primer" by Lipton and Regan, which emphasizes quantum algorithms and utilizes standard matrix notation instead of Dirac notation. This textbook is noted for its accessibility and focus on finite-dimensional matrices, making it suitable for those interested in the computational aspects of quantum mechanics. For further study, the discussion suggests that a background in number theory may be beneficial for understanding advanced topics like Shor's algorithm.

PREREQUISITES
  • Strong foundation in mathematics, particularly linear algebra
  • Basic understanding of computer science principles
  • Familiarity with quantum algorithms
  • Knowledge of number theory for advanced topics
NEXT STEPS
  • Research "Quantum Algorithms via Linear Algebra: A Primer" by Lipton and Regan
  • Explore the fundamentals of quantum algorithms and their applications
  • Study number theory to prepare for advanced quantum computing concepts
  • Investigate resources on topological quantum computing after completing algebraic topology
USEFUL FOR

Students and professionals in mathematics and computer science, particularly those interested in quantum computing algorithms and theoretical aspects of quantum mechanics.

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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