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Quantum field theory provides the framework for the most fundamental physical theories to be confirmed experimentally and has enabled predictions of unprecedented precision.
Quantum Mechanics
Albert Messiah · 1962
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A λ ϕ 4 \lambda\phi^{4} quantum field theory without cutoffs. I
J. Glimm and A. Jaffe · 1968
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The λ ( ϕ 4 ) 2 \lambda(\phi^{4})_{2} quantum field theory without cutoffs: II. the field operators and the approximate vacuum
J. Glimm and A. Jaffe · 1970
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The λ ( ϕ 4 ) 2 \lambda(\phi^{4})_{2} quantum field theory without cutoffs. III. the physical vacuum
J. Glimm and A. Jaffe · 1970
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Universal computation by quantum walk
Andrew M. Childs · 1972
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The λ ϕ 2 4 \lambda\phi^{4}_{2} quantum field theory without cutoffs. IV. perturbations of the Hamiltonian
J. Glimm and A. Jaffe · 1972
Earlier work this paper cites.
Positivity of the ϕ 3 4 \phi_{3}^{4} Hamiltonian
J. Glimm and A. Jaffe · 1973
Earlier work this paper cites.
The Wightman axioms and particle structure in the weakly coupled P ( ϕ ) 2 P(\phi)_{2} quantum field model
J. Glimm, A. Jaffe, and T. Spencer · 1974
Earlier work this paper cites.
ϕ 2 4 \phi_{2}^{4} quantum field model in the single-phase region: Differentiability of the mass and bounds on critical exponents
James Glimm and Arthur Jaffe · 1974
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Triangular factorization and inversion by fast matrix multiplication
James R. Bunch and John E. Hopcroft · 1974
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Decay properties and Borel summability for the Schwinger functions in P ( ϕ ) 2 P(\phi)_{2} theories
J.-P. Eckmann, J. Magnen, and R. Sénéor · 1975
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Correlation inequalities and the mass gap in P ( ϕ ) 2 P(\phi)_{2} . III. Mass gap for a class of strongly coupled theories with nonzero external field
F. Guerra, L. Rosen, and B. Simon · 1975
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The Wightman axioms and mass gap for weakly coupled ( φ 4 ) 3 (\varphi^{4})_{3} quantum field theories
Joel S. Feldman and Konrad Osterwalder · 1976
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The scattering matrix is nontrivial for weakly coupled P ( ϕ ) 2 P(\phi)_{2} models
K. Osterwalder and R. Sénéor · 1976
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Asymptotic perturbation expansion for the S S matrix and the definition of time ordered functions in relativistic quantum field models
J.-P. Eckmann, H. Epstein, and J. Fröhlich · 1976
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Existence of the critical point in ϕ 4 \phi^{4} field theory
O. A. McBryan and J. Rosen · 1976
Earlier work this paper cites.
Nontriviality of the scattering matrix for weakly coupled ϕ 3 4 \phi_{3}^{4} models
F. Constantinescu · 1977
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Phase space cell expansion and Borel summability for the Euclidean ϕ 3 4 \phi_{3}^{4} theory
J. Magnen and R. Sénéor · 1977
Earlier work this paper cites.
Critical exponents for the n n -vector model in three dimensions from field theory
J. C. Le Guillou and Jean Zinn-Justin · 1977
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Divergence of the perturbation theory series and the quasiclassical theory
L.N. Lipatov · 1977
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Perturbation theory at large order. I. the ϕ 2 N \phi^{2N} interaction
E. Brézin, J.C. Le Guillou, and J. Zinn-Justin · 1977
Earlier work this paper cites.
Borel summability of the mass and the S S -matrix in ϕ 4 \phi^{4} models
J.-P. Eckmann and H. Epstein · 1979
Earlier work this paper cites.
Cutoff dependence in ϕ 4 4 \phi^{4}_{4} theory
K. Symanzik · 1980
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The renormalization group and critical phenomena
Kenneth Wilson · 1982
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Simulating physics with computers
Richard P. Feynman · 1982
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Geometric analysis of ϕ 4 \phi^{4} fields and Ising models. Parts I and II
Michael Aizenman · 1982
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On the triviality of λ φ d 4 \lambda\varphi_{d}^{4} theories and the approach to the critical point in d d
J. Fröhlich · 1982
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Conservative logic
E. Fredkin and T. Toffoli · 1982
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A new proof of the existence and nontriviality of the continuum φ 2 4 \varphi^{4}_{2} and φ 3 4 \varphi^{4}_{3} quantum field theories
David C. Brydges, Jürg Frölich, and Alan D. Sokal · 1983
Earlier work this paper cites.
Continuum limit and improved action in lattice theories. 1. principles and ϕ 4 \phi^{4} theory
K. Symanzik · 1983
Earlier work this paper cites.
Continuum limit and improved action in lattice theories. 2. O ( N ) O(N) nonlinear sigma model in perturbation theory
K. Symanzik · 1983
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Quantum theory, the Church-Turing principle, and the universal quantum computer
David Deutsch · 1985
Cited alongside, same era.
Scaling laws and triviality bounds in the lattice ϕ 4 \phi^{4} theory. (I). one-component model in the symmetric phase
M. Lüscher and P. Weisz · 1987
Cited alongside, same era.
Quantum computational networks
David Deutsch · 1989
Cited alongside, same era.
Matrix multiplication via arithmetic progressions
Don Coppersmith and Schmuel Winograd · 1990
Cited alongside, same era.
Fractal decomposition of exponential operators with applications to many-body theories and Monte Carlo simulations
M. Suzuki · 1990
Cited alongside, same era.
On-shell effective field theory
Howard Georgi · 1991
Cited alongside, same era.
Simulated quantum computation of molecular energies
Alán Aspuru-Guzik, Anthony D. Dutoi, Peter J. Love, and Martin Head-Gordon · 2005
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Atomic quantum simulator for lattice gauge theoreis and ring exchange models
H. P. Büchler, M. Hermele, S. D. Huber, Matthew P. A. Fisher, and P. Zoller · 2005
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Determination of the fine structure constant based on Bloch oscillations of ultracold atoms in a vertical optical lattice
Pierre Cladé, Estefania de Mirandes, Malo Cadoret, Saïda Guellati-Khélifa, Catherine Schwob, François Nez, Lucile Julien, and François Biraben · 2006
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Simulating lattice gauge theories on a quantum computer
Tim Byrnes and Yoshihisa Yamamoto · 2006
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The complexity of the local Hamiltonian problem
Julia Kempe, Alexei Kitaev, and Oded Regev · 2006
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The development of the number field sieve
A. K. Lenstra and H. W. Lenstra Jr., editors · 1993
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Quantum circuit complexity
Andrew Chi-Chih Yao · 1993
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Quantum complexity theory
Ethan Bernstein and Umesh Vazirani · 1993
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General decomposition theory of ordered exponentials
Masuo Suzuki · 1993
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Quantum measurements and the Abelian stabilizer problem
A. Yu Kitaev · 1995
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Approximation by quantum circuits
E. Knill · 1995
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Dorit Aharonov, Wim van Dam, Julia Kempe, Zeph Landau, Seth Lloyd, and Oded Regev · 2007
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Color superfluidity and “baryon” formation in ultracold fermions
Ákos Rapp, Gergely Zaránd, Carsten Honerkamp, and Walter Hofstetter · 2007
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Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
Maciej Lewenstein, Anna Sanpera, Veronica Ahufinger, Bogdan Damski, Aditi Sen De, and Ujjwal Sen · 2007
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Bounds for the adiabatic approximation with applications to quantum computation
Sabine Jansen, Ruedi Seiler, and Mary-Beth Ruskai · 2007
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Efficient quantum algorithms for simulating sparse Hamiltonians
D.W. Berry, G. Ahokas, R. Cleve, and B. C. Sanders · 2007
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New measurement of the electron magnetic moment and the fine structure constant
D. Hanneke, S. Fogwell, and G. Gabrielse · 2008
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Fault-tolerant quantum computation with constant error rate
Dorit Aharonov and Michael Ben-Or · 2008
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Wavefunction preparation and resampling using a quantum computer
Alexei Kitaev and William A. Webb · 2008
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Yang-Mills gauge theories from simple fermionic lattice models
Paolo Maraner and Jiannis K. Pachos · 2009
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Simulating dense QCD matter with ultracold atomic boson-fermion mixtures
Kenji Maeda, Gordon Baym, and Tetsuo Hatsuda · 2009
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Quantum simulations with cold trapped ions
Michael Johanning, Andrés Varón, and Christof Wunderlich · 2009
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Cold atom simulation of interacting relativistic quantum field theories
J. Ignacio Cirac, Paolo Maraner, and Jiannis K. Pachos · 2010
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Wilson fermions and axion electrodynamics in optical lattices
A. Bermudez, L. Mazza, M. Rizzi, N. Goldman, M. Lewenstein, and M. A. Martin-Delgado · 2010
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(3+1) massive Dirac fermions with ultracold atoms in frustrated cubic optical lattices
L. Lepori, G. Mussardo, and A. Trombettoni · 2010
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A Rydberg quantum simulator
Hendrik Weimer, Markus Müller, Igor Lesanovsky, Peter Zoller, and Hans Peter Büchler · 2010
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Higher order decompositions of ordered operator exponentials
Nathan Wiebe, Dominic Berry, Peter Høyer, and Barry C. Sanders · 2010
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An introduction to quantum error correction and fault-tolerant quantum computation
Daniel Gottesman · 2010
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Confinement and lattice quantum-electrodynamic electric flux tubes simulated with ultracold atoms
Erez Zohar and Benni Reznik · 2011
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Gauge fields emerging from time reversal symmetry breaking for spin-5/2 fermions in a honeycomb lattice
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Optical-lattice Hamiltonians for relativistic quantum electrodynamics
Eliot Kapit and Erich Mueller · 2011
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Quantum simulation of quantum field theories in trapped ions
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