- M.Mezard, A.Montanari, "Information, physics and computation", Oxford University Press, 2009.
- I.Bengtsson, K.Zyczkowski, "Geometry of quantum states", Cambridge University Press, 2006.
- K.R. Parthasarathy, "Quantum Computation, quantum error correcting codes and information theory", Narosa, 2006.
- Gilles Pisier, K. R. Parthasarathy, Vern Paulsen and Andreas Winter, "The Functional Analysis of Quantum Information Theory", Springer 2015.
- K. Fujii, "Quantum computation with topological codes" Springer, 2016.
- S.Amari, H.Nagaoka, "Methods of Information Geometry" AMS and Oxford, 2000

- Matilde Marcolli, Ryan Thorngren, "Thermodynamic semirings", arXiv:1108.2874
- Matilde Marcolli, Nicolas Tedeschi, "Entropy algebras and Birkhoff factorization", arXiv:1412.0247
- Yuri Manin, Matilde Marcolli, "Error-correcting codes and phase transitions", arXiv:0910.5135
- Yuri Manin, Matilde Marcolli, "Kolmogorov complexity and the asymptotic bound for error-correcting codes", arXiv:1203.0653
- Matilde Marcolli, Christopher Perez, "Codes as fractals and noncommutative spaces", arXiv:1107.5782
- Matilde Marcolli, John Napp, "Quantum computation and real multiplication", arXiv:1312.3590
- Yuri Manin, "Renormalization and computation I: motivation and background", arXiv:0904.4921,
- Yuri Manin, "Renormalization and Computation II: Time Cut-off and the Halting Problem", arXiv:0908.3430.
- Colleen Delaney, Matilde Marcolli, "Dyson-Schwinger equations in the theory of computation", arXiv:1302.5040

- John C. Baez, Mike Stay, "Physics, Topology, Logic and Computation: A Rosetta Stone", arXiv:0903.0340
- John C. Baez, Tobias Fritz, Tom Leinster, "A characterization of entropy in terms of information loss", arXiv:1106.1791
- Yuri Manin, "A computability challenge: asymptotic bounds and isolated error-correcting codes", arXiv:1107.4246
- Yuri Manin, "Complexity vs Energy: Theory of Computation and Theoretical Physics", arXiv:1302.6695
- Yuri Manin, "Zipf's law and L. Levin's probability distributions", arXiv:1301.0427
- Yuri Manin, "Classical computing, quantum computing, and Shor's factoring algorithm", arXiv:quant-ph/9903008
- S.Trebst, M.Troyer, Z.Wang, A.Ludwig, "A short introduction to Fibonacci anyon models, arXiv:0902.3275
- Michael H. Freedman, Alexei Kitaev, Michael J. Larsen, Zhenghan Wang, "Topological quantum computation", arXiv:quant-ph/0101025
- C.Nayak, S.Simon, A.Stern, M.Freedman, S.Sarma, "Non-Abelian Anyons and Topological Quantum Computation", arXiv:0707.1889
- M.Redei, S.J.Summers, "Quantum Probability Theory", arXiv:quant-ph/0601158

- Tuesday March 29: convex spaces and probability measures, Perron-Frobenius theory, stochastic matrices
- Thursday March 31: Shannon entropy, Kullback-Leibler relative entropy, Fisher-Rao metric, Renyi and Tsallis entropies, Khinchin axioms
- Tuesday April 5: Thermodynamic semirings and algebraic characterization of Shannon entropy and other entropy functionals
- Thursday April 7: Quantum versus classical probability, Pure states and complex projective geometry, Geometry of the convex set of density matrices in terms of flag manifolds
- Tuesday April 12: entropy in quantum information, von Neumann entropy and generalizations, thermodynamic deformations of the tropical trace
- Thursday April 14: Classical codes and code parameters: transmission rate and relative minimum distance, spoiling operations
- Tuesday April 19: Existence of the asymptotic bound for error correcting codes; code points with finite and with infinite multiplicity
- Thursday April 21: The Shannon Random Code Ensemble and quantum statistical mechanics of decoding: the Gilbert-Varshamov curve as phase transition
- Tuesday April 26: Kolomogorov complexity and the asymptotic bound for error correcting codes
- Thursday April 28: Quantum statistical mechanical systems associated to codes and code points
- Tuesday May 3: Quantum error correcting codes
- Thursday May 5: Quantum error correcting codes
- Tuesday May 10: CSS algorithm relating self-orthogonal classical linear codes and q-ary quantum stabilizer codes
- Thursday May 12: CSS algorithm and the geometry of rational noncommutative tori
- Tuesday May 17: Manin's renormalization and computation
- Thursday May 19: Renormalization and computation
- Tuesday May 24: CLASS CANCELLED (conference travel)
- Thursday May 26: Student presentations
- Tuesday May 31: Student presentations
- Thursday June 2: Student presentations

- Thursday May 26: Eric Morgan, "Fibonacci anyon model"
- Thursday May 26: Milan Cvitkovic, "Quantum probability theory"
- Tuesday May 31: Aaron Chew, "Non-Abelian Anyons and Topological Quantum Computation"
- Tuesday May 31: Emory Brown, "Entropy in terms of information loss"
- Thursday June 2: Charles Xu, "Physics, Topology, Logic and Computation: A Rosetta Stone"