Programs Math Major interested in Quantum Information Science

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SUMMARY

The discussion centers on the pathway for math majors interested in pursuing graduate studies in Quantum Computing (QC) and Quantum Information Science (QIS). Key figures in the field include mathematicians Peter Shor and Michael Freedman, who exemplify the intersection of mathematics and quantum theory. The consensus is that aspiring theorists should focus on courses in number theory, as emphasized by a lecturer specializing in quantum information theory. The field predominantly attracts experts from condensed matter physics and computer science, highlighting the need for a solid mathematical foundation.

PREREQUISITES
  • Understanding of Quantum Computing principles
  • Familiarity with Quantum Information Theory
  • Knowledge of Number Theory
  • Basic concepts in Condensed Matter Physics
NEXT STEPS
  • Research advanced courses in Number Theory
  • Explore Quantum Information Theory textbooks and resources
  • Investigate graduate programs in Quantum Computing
  • Study the contributions of Peter Shor and Michael Freedman to the field
USEFUL FOR

Math majors, aspiring quantum information scientists, and anyone seeking to understand the mathematical foundations of quantum computing.

seanthinks
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I'm a math major interested in the field of quantum information science and quantum computing, but I'm unclear on what path to take to explore the field. The field is presented as being at the intersection of physics, computer science, and mathematics but it seems that a majority of the experts are either specialists in condensed matter theory/AMO physics or are computer scientists working in complexity theory/algorithms. There are some mathematicians who are prominent in the field like Peter Shor and Michael Freedman, but by and large I see more advice on how to enter the field through either physics or computer science, but not math.

My question is, as a math major, what courses would you recommend as indispensable if I decide I want to pursue a graduate degree in QC/QIS?
 
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One of my lecturers who does research in quantum information theory said that anyone who wants to work on theory should learn as much number theory as possible
 

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