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This thesis is split into two parts, which are united in the sense that they involve applying ideas from quantum information to fundamental physics.
Über das Paulische Äquivalenzverbot
P. Jordan and E. Wigner · 1928
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Quantum recurrence theorem
P. Bocchieri and A. Loinger · 1957
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On the product of semi-groups of operators
H. F. Trotter · 1959
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Ergodic foundation of quantum statistical mechanics
P. Bocchieri and A. Loinger · 1959
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Unitary operator bases
J. Schwinger · 1960
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Quantum Mechanics and Path Integrals
R. P. Feynman and A. R. Hibbs · 1965
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The finite group velocity of quantum spin systems
E. H. Lieb and D. W. Robinson · 1972
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Hamiltonian formulation of Wilson’s lattice gauge theories
J. Kogut and L. Susskind · 1975
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Lattice fermions
L. Susskind · 1977
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Note on the quantum recurrence theorem
L. S. Schulman · 1978
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Universal upper bound on the entropy-to-energy ratio for bounded systems
J. D. Bekenstein · 1981
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A no-go theorem for regularizing chiral fermions
H. B. Nielsen and M. Ninomiya · 1981
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Simulating physics with computers
R. P. Feynman · 1982
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Quarks, Gluons and Lattices
M. Creutz · 1983
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Quantum stochastics: the passage from a relativistic to a non-relativistic path integral
T. Jacobson and L. S. Schulman · 1984
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The vacuum violates Bell’s inequalities
S. J. Summers and R. Werner · 1985
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Matrix Analysis
R. A. Horn and C. R. Johnson · 1985
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Space-time as a causal set
L. Bombelli, J. Lee, D. Meyer, and R. D. Sorkin · 1987
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Light cone lattice approach to fermionic theories in 2-d: the massive Thirring model
C. Destri and H. J. de Vega · 1987
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Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
M. Suzuki · 1990
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The Dirac Equation
B. Thaller · 1992
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The renormalization group and critical phenomena
K. Wilson · 1993
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Weyl, Dirac, and Maxwell equations on a lattice as unitary cellular automata
I. Bialynicki-Birula · 1994
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On one-dimensional quantum cellular automata
J. Watrous · 1995
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An Introduction to Quantum Field Theory
M. E. Peskin and D. V. Schroeder · 1995
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Quantum Theory: Concepts and Methods
A. Peres · 1995
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The Quantum Theory of Fields
S. Weinberg · 1995
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Universal quantum simulators
S. Lloyd · 1996
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On the absence of homogeneous scalar unitary cellular automata
D. A. Meyer · 1996
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From quantum cellular automata to quantum lattice gases
D. A. Meyer · 1996
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Simulation of many-body Fermi systems on a universal quantum computer
D. S. Abrams and S. Lloyd · 1997
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Operator Algebras and Quantum Statistical Mechanics, volumes 1 and 2
O. Bratteli and D. Robinson · 1997
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Quantum mechanics of lattice gas automata: one-particle plane waves and potentials
D. A. Meyer · 1997
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Matrix analysis
R. Bhatia · 1997
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From quantum dynamics to the canonical distribution: general picture and a rigorous example
H. Tasaki · 1998
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Quantum Mechanics
A. Messiah · 1999
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Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2000
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Quantum algorithms for fermionic simulations
G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme · 2001
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Simulating physical phenomena by quantum networks
R. Somma, G. Ortiz, J. E. Gubernatis, E. Knill, and R. Laflamme · 2002
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Fermionic quantum computation
S. Bravyi and A. Kitaev · 2002
Cited alongside, same era.
Quantum random walks - an introductory overview
J. Kempe · 2003
Cited alongside, same era.
Lie groups, Lie algebras, and representations: an elementary introduction
B. C. Hall · 2003
Cited alongside, same era.
Reversible Quantum Cellular Automata
B. Schumacher and R. F. Werner · 2004
Cited alongside, same era.
Quantum Thermodynamics: Emergence of Thermodynamic Behavior within Composite Quantum Systems
J. Gemmer, M. Michel, and G. Mahler · 2004
Cited alongside, same era.
Fermions without Fermi Fields
R. C. Ball · 2005
Cited alongside, same era.
Mapping local Hamiltonians of fermions to local Hamiltonians of spins
Diverging equilibration times in long-range quantum spin models
M. Kastner · 2011
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Quantum equilibration in finite time
A. J. Short and T. C. Farrelly · 2012
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Quantum simulation of interacting fermion lattice models in trapped ions
J. Casanova, A. Mezzacapo, L. Lamata, and E. Solano · 2012
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Quantum algorithms for quantum field theories
S. P. Jordan, K. S. M. Lee, and J. Preskill · 2012
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The unquantum quantum
D. Tong · 2012
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Index theory of one dimensional quantum walks and cellular automata
D. Gross, V. Nesme, H. Vogts, and R. F. Werner · 2012
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F. Verstraete and J. I. Cirac · 2005
Cited alongside, same era.
Colloquium: photons and electrons as emergent phenomena
M. A. Levin and X.-G. Wen · 2005
Cited alongside, same era.
String-net condensation: a physical mechanism for topological phases
M. A. Levin and X.-G. Wen · 2005
Cited alongside, same era.
Lattice Methods for Quantum Chromodynamics
T. DeGrand and C. DeTar · 2006
Cited alongside, same era.
Relativistic quantum walks
F. W. Strauch · 2006
Cited alongside, same era.
Simulating lattice gauge theories on a quantum computer
T. Byrnes and Y. Yamamoto · 2006
Cited alongside, same era.
A. Bisio, G. M. D’Ariano, and A. Tosini · 2012
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The quantum field as a quantum computer
G. M. D’Ariano · 2012
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Physics as quantum information processing: quantum fields as quantum automata
G. M. D’Ariano · 2012
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Molecular binding in interacting quantum walks
A. Ahlbrecht, A. Alberti, D. Meschede, V. B. Scholz, A. H. Werner, and R. F. Werner · 2012
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Thermalization in nature and on a quantum computer
A. Riera, C. Gogolin, and J. Eisert · 2012
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Convergence to equilibrium under a random Hamiltonian
F. G. S. L. Brandão, P. Ćwikliński, M. Horodecki, P. Horodecki, J. K. Korbicz, and M. Mozrzymas · 2012
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Subsystem dynamics under random Hamiltonian evolution
Vinayak and M. Žnidarič · 2012
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Thermalization under randomized local Hamiltonians
M. Cramer · 2012
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Equilibration of isolated macroscopic quantum systems
P. Reimann and M. Kastner · 2012
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Alternatives to eigenstate thermalization
M. Rigol and M. Srednicki · 2012
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Derivation of the Dirac equation from principles of information processing
G. M. D’Ariano and P. Perinotti · 2013
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Ultracold quantum gases and lattice systems: quantum simulation of lattice gauge theories
U. J. Wiese · 2013
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Complexity of energy eigenstates as a mechanism for equilibration
L. Masanes, A. Roncaglia, and A. Acín · 2013
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Time scales in the approach to equilibrium of macroscopic quantum systems
S. Goldstein, T. Hara, and H. Tasaki · 2013
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Thermalization and canonical typicality in translation-invariant quantum lattice systems
M. P. Müller, E. Adlam, L. Masanes, and N. Wiebe · 2013
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Quantum versus classical foundation of statistical mechanics under experimentally realistic conditions
P. Reimann and M. Evstigneev · 2013
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Discrete spacetime and relativistic quantum particles
T. C. Farrelly and A. J. Short · 2014
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Causal fermions in discrete space-time
T. C. Farrelly and A. J. Short · 2014
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Quantum systems equilibrate rapidly for most observables
A. S. L. Malabarba, L. P. García-Pintos, N. Linden, T. C. Farrelly, and A. J. Short · 2014
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Matrix product states for gauge field theories
B. Buyens, J. Haegeman, K. Van Acoleyen, H. Verschelde, and F. Verstraete · 2014
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Tensor networks for lattice gauge theories with continuous groups
L. Tagliacozzo, A. Celi, and M. Lewenstein · 2014
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Quantum algorithms for fermionic quantum field theories
S. P. Jordan, K. S. M. Lee, and J. Preskill · 2014
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The Dirac equation as a quantum walk: higher dimensions, observational convergence
P. Arrighi, V. Nesme, and M. Forets · 2014
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Path-integral solution of the one-dimensional Dirac quantum cellular automaton
G. M. D’Ariano, N. Mosco, P. Perinotti, and A. Tosini · 2014
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Discrete Feynman propagator for the Weyl quantum walk in 2+1 dimensions
G. M. D’Ariano, N. Mosco, P. Perinotti, and A. Tosini · 2014
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The Feynman problem and fermionic entanglement: fermionic theory versus qubit theory
G. M. D’Ariano, F. Manessi, P. Perinotti, and A. Tosini · 2014
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The renormalization group via statistical inference
C. Bény and T. J. Osborne · 2014
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Equilibration and thermalization in quantum systems
C. Gogolin · 2014
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Many-body localisation implies that eigenvectors are matrix-product states
M. Friesdorf, A. H. Werner, W. Brown, V. B. Scholz, and J. Eisert · 2014
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Spectra and eigenstates of spin chain Hamiltonians
J. P. Keating, N. Linden, and H. J. Wells · 2014
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Classical vs quantum equilibration
A. S. L. Malabarba and A. J. Short · 2014
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Computing, 2014
CERN · 2014
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Quantum many-body systems out of equilibrium
J. Eisert, M. Friesdorf, and C. Gogolin · 2015
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