HonorThesis/main.bib

@book{parthasarathy1992quantum,
  title     = {An Introduction to Quantum Stochastic Calculus},
  author    = {Parthasarathy, K. R.},
  series    = {Monographs in Mathematics},
  volume    = {85},
  year      = {1992},
  publisher = {Birkh{\"a}user Basel},
  doi       = {10.1007/978-3-0348-8641-3},
  isbn      = {978-3-0348-9711-2},
  eisbn     = {978-3-0348-8641-3},
  pages     = {XI, 292},
  topics    = {Probability Theory and Stochastic Processes}
}

@book{Elizabeth_book,
  title     ={The Random Matrix Theory of the Classical Compact Groups},
  author    ={Elizabeth Meckes}
}

@book{parthasarathy2005mathematical,
  title     = {Mathematical Foundation of Quantum Mechanics},
  author    = {Parthasarathy, K. R.},
  series    = {Texts and Readings in Mathematics},
  volume    = {85},
  year      = {2005},
  publisher = {Hindustan Book Agency},
  doi       = {10.1007/978-93-86279-28-6},
  isbn      = {978-93-86279-28-6},
  eisbn     = {978-93-86279-28-6},
  pages     = {XI, 292},
  topics    = {Mathematics, general}
}

@book{Vershynin_book,
  title     = {High-dimensional probability: an introduction with applications in data science},
  author    = {Vershynin, Roman},
  year      = {2018},
  publisher = {Cambridge University Press},
  doi       = {10.1017/9781316278289},
  isbn      = {9781316278289},
  eisbn     = {9781316278289},
  pages     = {X, 368}
}

@inbook{kummer1998elements,
  author    = {B. Kümmer and H. Maassen},
  title     = {Elements of quantum probability},
  booktitle = {Quantum Probability Communications},
  chapter   = {},
  pages     = {73-100},
  doi       = {10.1142/9789812816054_0003},
  url       = {https://www.worldscientific.com/doi/abs/10.1142/9789812816054_0003},
  abstract  = { Abstract This is an introductory article presenting some basic ideas of quantum probability. From a discussion of simple experiments with polarized light and a card game we deduce the necessity of extending the body of classical probability theory. For a class of systems, containing classical systems with finitely many states, a probabilistic model is developed. It can describe, in particular, the polarization experiments. Some examples of “quantum coin tosses” are discussed, closely related to V.F.R. Jones’ approach to braid group representations, to spin relaxation, and to nuclear magnetic resonance. In an appendix we indicate the steps which lead to the full mathematical model of quantum probability. }
}

@misc{Feres,
  title   = {Math 444 Lecture notes – the mathematics of quantum theory},
  url     = {https://www.math.wustl.edu/~feres/Math444Spring25/Math444Spring25Syllabus.html},
  journal = {Math 444 – the mathematics of quantum theory},
  author  = {Feres, Renato}
} 

@book{romanvershyni,
  title     = {High-dimensional probability: an introduction with applications in data science},
  author    = {Roman Vershynin},
  year      = {2018},
  publisher = {Cambridge University Press}
}

@book{MGomolovs,
  title     = {Metric structures for Riemannian and non-Riemannian spaces},
  author    = {M. Gromov},
  year      = {1981},
  publisher = {Birkhäuser}
}

@misc{shioya2014metricmeasuregeometry,
      title={Metric measure geometry}, 
      author={Takashi Shioya},
      year={2014},
      eprint={1410.0428},
      archivePrefix={arXiv},
      primaryClass={math.MG},
      url={https://arxiv.org/abs/1410.0428}, 
}

@inproceedings{Hayden,
  title     = {Concentration of measure effects in quantum information},
  author    = {Hayden, Patrick},
  booktitle = {Quantum Information Science and Its Contributions to Mathematics},
  series    = {Proceedings of Symposia in Applied Mathematics},
  volume    = {68},
  pages     = {211--260},
  year      = {2010},
  publisher = {American Mathematical Society},
  isbn      = {978-0-8218-4828-9},
  doi       = {10.1090/psapm/068}
}

@article{Hayden_2006,
  title={Aspects of Generic Entanglement},
  volume={265},
  ISSN={1432-0916},
  url={http://dx.doi.org/10.1007/s00220-006-1535-6},
  DOI={10.1007/s00220-006-1535-6},
  number={1},
  journal={Communications in Mathematical Physics},
  publisher={Springer Science and Business Media LLC},
  author={Hayden, Patrick and Leung, Debbie W. and Winter, Andreas},
  year={2006},
  month=mar, pages={95-117} 
}

@book{Haar_book,
  title     = {The random Matrix Theory of the Classical Compact groups},
  author    = {E. M. S. Meckes},
  year      = {2013},
  publisher = {Princeton University Press}
}

@book{Bengtsson_Życzkowski_2017,
  title     = {Geometry of Quantum States: An Introduction to Quantum Entanglement},
  author    = {Bengtsson, Ingemar and Życzkowski, Karol},
  year      = {2017},
  publisher = {Cambridge University Press}
}

@article{Pages_conjecture,
  title   = {Page's conjecture},
  author  = {Page, Don N.},
  journal = {Physical Review Letters},
}

@article{Pages_conjecture_simple_proof,
  title   = {Page's conjecture simple proof},
  author  = {Jorge Sanchez-Ruiz},
  journal = {Departament de Fisica Fonamental, Universitat de Barcelona, Diagonal 6/7, 08028 Barcelona, Spain},
  year    = {1995},
  journal = {Physical Review E},
}

@book{Nielsen_Chuang_2010, 
  place={Cambridge}, 
  title={Quantum Computation and Quantum Information: 10th Anniversary Edition}, 
  publisher={Cambridge University Press}, 
  author={Nielsen, Michael A. and Chuang, Isaac L.}, 
  year={2010}
} 

@misc{gupta2015functionalanalysisquantuminformation,
      title={The Functional Analysis of Quantum Information Theory}, 
      author={Ved Prakash Gupta and Prabha Mandayam and V. S. Sunder},
      year={2015},
      eprint={1410.7188},
      archivePrefix={arXiv},
      primaryClass={quant-ph},
      url={https://arxiv.org/abs/1410.7188}, 
}