@book{Serre1977,
  author    = {Jean Pierre Serre},
  title     = {Linear Representations of Finite Groups},
  series    = {Graduate Texts in Mathematics},
  volume    = {42},
  publisher = {Springer},
  address   = {New York},
  year      = {1977}
}

@book{FultonHarris1991,
  author    = {William Fulton and Joe Harris},
  title     = {Representation Theory: A First Course},
  series    = {Graduate Texts in Mathematics},
  volume    = {129},
  publisher = {Springer},
  address   = {New York},
  year      = {1991}
}

@book{NielsenChuang2010,
  author    = {Michael A. Nielsen and Isaac L. Chuang},
  title     = {Quantum Computation and Quantum Information},
  edition   = {Tenth Anniversary},
  publisher = {Cambridge University Press},
  address   = {Cambridge},
  year      = {2010}
}

@book{Watrous2018,
  author    = {John Watrous},
  title     = {The Theory of Quantum Information},
  publisher = {Cambridge University Press},
  address   = {Cambridge},
  year      = {2018}
}

@book{Bhatia1997,
  author    = {Rajendra Bhatia},
  title     = {Matrix Analysis},
  series    = {Graduate Texts in Mathematics},
  volume    = {169},
  publisher = {Springer},
  address   = {New York},
  year      = {1997}
}

@article{Kato1950,
  author  = {Tosio Kato},
  title   = {On the adiabatic theorem of quantum mechanics},
  journal = {Journal of the Physical Society of Japan},
  volume  = {5},
  pages   = {435{\textendash}439},
  year    = {1950}
}

@book{Kato1995,
  author    = {Tosio Kato},
  title     = {Perturbation Theory for Linear Operators},
  publisher = {Springer},
  address   = {Berlin},
  year      = {1995}
}

@article{Berry1984,
  author  = {Michael V. Berry},
  title   = {Quantal phase factors accompanying adiabatic changes},
  journal = {Proceedings of the Royal Society of London. Series A},
  volume  = {392},
  number  = {1802},
  pages   = {45{\textendash}57},
  year    = {1984}
}

@article{WilczekZee1984,
  author  = {Frank Wilczek and A. Zee},
  title   = {Appearance of gauge structure in simple dynamical systems},
  journal = {Physical Review Letters},
  volume  = {52},
  number  = {24},
  pages   = {2111{\textendash}2114},
  year    = {1984}
}

@book{Kraus1983,
  author    = {Karl Kraus},
  title     = {States, Effects, and Operations},
  series    = {Lecture Notes in Physics},
  volume    = {190},
  publisher = {Springer},
  address   = {Berlin},
  year      = {1983}
}

@article{Stinespring1955,
  author  = {W. Forrest Stinespring},
  title   = {Positive functions on {C} star algebras},
  journal = {Proceedings of the American Mathematical Society},
  volume  = {6},
  number  = {2},
  pages   = {211{\textendash}216},
  year    = {1955}
}

@article{Choi1975,
  author  = {Man Duen Choi},
  title   = {Completely positive linear maps on complex matrices},
  journal = {Linear Algebra and its Applications},
  volume  = {10},
  number  = {3},
  pages   = {285{\textendash}290},
  year    = {1975}
}

@article{Lindblad1976,
  author  = {Goran Lindblad},
  title   = {On the generators of quantum dynamical semigroups},
  journal = {Communications in Mathematical Physics},
  volume  = {48},
  number  = {2},
  pages   = {119{\textendash}130},
  year    = {1976}
}

@article{KnillLaflamme1997,
  author  = {Emanuel Knill and Raymond Laflamme},
  title   = {Theory of quantum error correcting codes},
  journal = {Physical Review A},
  volume  = {55},
  number  = {2},
  pages   = {900{\textendash}911},
  year    = {1997}
}

@article{SchumacherNielsen1996,
  author  = {Benjamin Schumacher and Michael A. Nielsen},
  title   = {Quantum data processing and error correction},
  journal = {Physical Review A},
  volume  = {54},
  number  = {4},
  pages   = {2629{\textendash}2635},
  year    = {1996}
}

@article{BenyKempfKribs2007,
  author  = {C{\'{e}}dric B{\'{e}}ny and Achim Kempf and David W. Kribs},
  title   = {Generalization of quantum error correction via the {Heisenberg} picture},
  journal = {Physical Review Letters},
  volume  = {98},
  number  = {10},
  pages   = {100502},
  year    = {2007}
}

@article{Feshbach1958,
  author  = {Herman Feshbach},
  title   = {Unified theory of nuclear reactions},
  journal = {Annals of Physics},
  volume  = {5},
  number  = {4},
  pages   = {357{\textendash}390},
  year    = {1958}
}

@article{BravyiDiVincenzoLoss2011,
  author  = {Sergey Bravyi and David P. DiVincenzo and Daniel Loss},
  title   = {{Schrieffer} {Wolff} transformation for quantum many body systems},
  journal = {Annals of Physics},
  volume  = {326},
  number  = {10},
  pages   = {2793{\textendash}2826},
  year    = {2011}
}

@article{Nakajima1958,
  author  = {Sadao Nakajima},
  title   = {On quantum theory of transport phenomena: steady diffusion},
  journal = {Progress of Theoretical Physics},
  volume  = {20},
  number  = {6},
  pages   = {948{\textendash}959},
  year    = {1958}
}

@article{Zwanzig1960,
  author  = {Robert Zwanzig},
  title   = {Ensemble method in the theory of irreversibility},
  journal = {The Journal of Chemical Physics},
  volume  = {33},
  number  = {5},
  pages   = {1338{\textendash}1341},
  year    = {1960}
}

@article{OsterwalderSchrader1973,
  author  = {Konrad Osterwalder and Robert Schrader},
  title   = {Axioms for {Euclidean} {Green} functions},
  journal = {Communications in Mathematical Physics},
  volume  = {31},
  number  = {2},
  pages   = {83{\textendash}112},
  year    = {1973}
}

@article{OsterwalderSchrader1975,
  author  = {Konrad Osterwalder and Robert Schrader},
  title   = {Axioms for {Euclidean} {Green} functions. {II}},
  journal = {Communications in Mathematical Physics},
  volume  = {42},
  number  = {3},
  pages   = {281{\textendash}305},
  year    = {1975}
}

@book{GlimmJaffe1987,
  author    = {James Glimm and Arthur Jaffe},
  title     = {Quantum Physics: A Functional Integral Point of View},
  edition   = {Second},
  publisher = {Springer},
  address   = {New York},
  year      = {1987}
}

@book{Connes1994,
  author    = {Alain Connes},
  title     = {Noncommutative Geometry},
  publisher = {Academic Press},
  address   = {San Diego},
  year      = {1994}
}

@article{Vassilevich2003,
  author  = {Dmitri V. Vassilevich},
  title   = {Heat kernel expansion: user's manual},
  journal = {Physics Reports},
  volume  = {388},
  number  = {5},
  pages   = {279{\textendash}360},
  year    = {2003}
}

@book{Strikwerda2004,
  author    = {John C. Strikwerda},
  title     = {Finite Difference Schemes and Partial Differential Equations},
  edition   = {Second},
  publisher = {Society for Industrial and Applied Mathematics},
  address   = {Philadelphia},
  year      = {2004}
}

@book{ReedSimon1972,
  author    = {Michael Reed and Barry Simon},
  title     = {Methods of Modern Mathematical Physics. {I}: Functional Analysis},
  publisher = {Academic Press},
  address   = {New York},
  year      = {1972}
}

@book{Dirac1964,
  author    = {Paul A. M. Dirac},
  title     = {Lectures on Quantum Mechanics},
  publisher = {Yeshiva University},
  address   = {New York},
  year      = {1964}
}

@book{HenneauxTeitelboim1992,
  author    = {Marc Henneaux and Claudio Teitelboim},
  title     = {Quantization of Gauge Systems},
  publisher = {Princeton University Press},
  address   = {Princeton, New Jersey},
  year      = {1992}
}