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Exploring Quantum Information Theory: Entanglement, Communication, and Capacity

Delve into the fascinating world of Quantum Information Theory with a focus on entanglement, communication, and capacity. Discover how quantum mechanics revolutionizes our understanding of information processing. Richard Feynman's whimsical analogies will guide you through the intricate concepts of quantum information theory.

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Exploring Quantum Information Theory: Entanglement, Communication, and Capacity

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  1. Quantum Information Theory “But, we are going to be even more ridiculous later and consider bits written on one atom instead of the present 1011 atoms. Such nonsense is very entertaining to professors like me. I hope you will find it interesting and entertaining as well.” --Richard Feynman, Feynman Lectures on Computation

  2. Entanglement Concentration and Dilution • Given a biased coin, how can one simulate tosses from an unbiased coin? • In general, if two parties share secret, correlated random bits, how can they change one probability distribution to another? • What if they receive their bits through a noisy channel?

  3. A Quantum Love Story based on the classic tale of Pyramus and Thisbe

  4. Chaniltonian Communication Capacity • How does capacity scale with power and dimension? • How does the communication capacity compare with the entanglement capacity? • Are forward and backward capacities always equal? • Can free entanglement change the world?

  5. Answers • HT I win, TH you win, HH or TT we flip again. • Asymptotically, many of copies of any distributions can be converted to any other distribution with roughly equal entropy. • The general problem of noisy secret correlations (mixed-state entanglement) is not solved.

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