What-is-a-quantum-field-state.bib

@book{ludwig_foundations_1983,
	address = {Berlin, Heidelberg},
	title = {Foundations of {Quantum} {Mechanics} {I}},
	publisher = {Springer Berlin Heidelberg},
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	year = {1983},
}

@book{davies_quantum_1976,
	address = {London},
	title = {Quantum {Theory} of {Open} {Systems}},
	publisher = {Academic Press},
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}

@inproceedings{douglas_foundations_2012,
	address = {University of Pennsylvania, Philadelphia, PA},
	title = {Foundations of {Quantum} {Field} {Theory}},
	volume = {85},
	booktitle = {Proceedings of {Symposia} in {Pure} {Mathematics}},
	publisher = {American Mathematical Society},
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	year = {2012},
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}

@misc{osborne_tobiasosborne,
	note = {https://github.com/tobiasosborne/Tensor-networks-and-quantum-field-theory},
	abstract = {Tensor-networks-and-quantum-field-theory - This is an open science project aimed at representing the path integral in quantum field theory via a tensor network state.},
	urldate = {2015-03-04},
	journal = {GitHub},
	author = {Osborne, Tobias J.},
}

@article{zauner_symmetry_2014,
	title = {Symmetry {Breaking} and the {Geometry} of {Reduced} {Density} {Matrices}},
	journal = {arXiv:1412.7642 [cond-mat, physics:quant-ph]},
	author = {Zauner, V. and Draxler, D. and Lee, Y. and Vanderstraeten, L. and Haegeman, J. and Verstraete, F.},
	month = dec,
	year = {2014},
	note = {arXiv: 1412.7642},
}

@article{verstraete_matrix_2006,
	title = {Matrix product states represent ground states faithfully},
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	author = {Verstraete, F. and Cirac, J. I.},
	year = {2006},
	pages = {094423}
}

@article{jennings_variational_2012,
	title = {Variational quantum field states with symmetry: {The} continuum limit of a projected entangled pair state},
	shorttitle = {Variational quantum field states with symmetry},
	note = {arXiv:1212.3833},
	author = {Jennings, David and Haegeman, Jutho and Osborne, Tobias J. and Verstraete, Frank},
	month = dec,
	year = {2012},
}

@article{haegeman_entanglement_2013,
	title = {Entanglement {Renormalization} for {Quantum} {Fields} in {Real} {Space}},
	volume = {110},
	url = {http://arxiv.org/abs/1102.5524},
	number = {10},
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	author = {Haegeman, Jutho and Osborne, Tobias J. and Verschelde, Henri and Verstraete, Frank},
	year = {2013},
	note = {arXiv:1102.5524},
	pages = {100402}
}

@article{osborne_simulating_2007,
	title = {Simulating adiabatic evolution of gapped spin systems},
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	number = {3},
	journal = {Phys. Rev. A},
	author = {Osborne, Tobias J.},
	year = {2007},
	pages = {032321}
}

@article{bravyi_topological_2010,
	title = {Topological quantum order: {Stability} under local perturbations},
	volume = {51},
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	author = {Bravyi, Sergey and Hastings, Matthew B. and Michalakis, Spyridon},
	year = {2010},
	pages = {093512}
}

@article{bravyi_short_2011,
	title = {A {Short} {Proof} of {Stability} of {Topological} {Order} under {Local} {Perturbations}},
	volume = {307},
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	author = {Bravyi, Sergey and Hastings, Matthew B.},
	year = {2011},
	note = {arXiv:1001.4363},
	pages = {609--627}
}

@article{hastings_lieb-schultz-mattis_2004,
	title = {Lieb-{Schultz}-{Mattis} in higher dimensions},
	volume = {69},
	number = {10},
	journal = {prb},
	author = {Hastings, M. B.},
	year = {2004},
	pages = {104431}
}

@article{hastings_area_2007,
	title = {An area law for one-dimensional quantum systems},
	number = {8},
	journal = {J. Stat. Mech.},
	author = {Hastings, M. B.},
	year = {2007},
	pages = {P08024}
}

@article{osborne_efficient_2006,
	title = {Efficient {Approximation} of the {Dynamics} of {One}-{Dimensional} {Quantum} {Spin} {Systems}},
	volume = {97},
	number = {15},
	journal = {Phys. Rev. Lett.},
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	year = {2006},
	pages = {157202}
}

@article{jordan_quantum_2011,
	title = {Quantum computation of scattering in scalar quantum field theories},
	volume = {14},
	number = {11 \& 12},
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	author = {Jordan, Stephen P. and Lee, Keith S. M. and Preskill, John},
	year = {2011},
	note = {arXiv: 1112.4833},
	pages = {1014 -- 1080},
}

@article{jordan_quantum_2014,
	title = {Quantum {Algorithms} for {Fermionic} {Quantum} {Field} {Theories}},
	note = {arXiv:1404.7115},
	author = {Jordan, Stephen P. and Lee, Keith S. M. and Preskill, John},
	month = apr,
	year = {2014},
}

@article{jordan_quantum_2012,
	title = {Quantum {Algorithms} for {Quantum} {Field} {Theories}},
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	month = jun,
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}

@incollection{howard_georgi_particles_2012,
	title = {Particles and {F}ields},
	isbn = {978-981-4440-61-5},
	booktitle = {The {T}heory of the {Q}uantum {W}orld},
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	year = {2012},
	pages = {210--249},
}

@misc{moore_physical_2014,
	address = {Princeton, N.J.},
	title = {Physical {M}athematics and the {F}uture},
	note = {Talk presened a Strings 2014},
	author = {Moore, Gregory W.},
	year = {2014},
}

@article{osborne_holographic_2010,
	title = {Holographic {Quantum} {States}},
	volume = {105},
	doi = {10.1103/PhysRevLett.105.260401},
	number = {26},
	journal = {Phys. Rev. Lett.},
	author = {Osborne, Tobias J. and Eisert, Jens and Verstraete, Frank},
	month = dec,
	year = {2010},
	pages = {260401}
}

@article{haegeman_calculus_2013,
	title = {Calculus of continuous matrix product states},
	volume = {88},
	number = {8},
	journal = {Physical Review B},
	author = {Haegeman, Jutho and Cirac, J. Ignacio and Osborne, Tobias J. and Verstraete, Frank},
	month = aug,
	year = {2013},
	pages = {085118},
}

@unpublished{maruyama_continuous_2010,
	title = {Continuous matrix product ansatz for the one-dimensional {Bose} gas with point interaction},
	author = {Maruyama, Isao and Katsura, Hosho},
	year = {2010}
}

@article{verstraete_continuous_2010,
	title = {Continuous {Matrix} {Product} {States} for {Quantum} {Fields}},
	volume = {104},
	number = {19},
	journal = {Phys. Rev. Lett.},
	author = {Verstraete, F. and Cirac, J. I.},
	month = may,
	year = {2010},
	pages = {190405}
}

@article{vidal_class_2008,
	title = {Class of {Quantum} {Many}-{Body} {States} {That} {Can} {Be} {Efficiently} {Simulated}},
	volume = {101},
	number = {11},
	journal = {Phys. Rev. Lett.},
	author = {Vidal, G.},
	year = {2008},
	note = {cond-mat/0610099},
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}

@article{vidal_entanglement_2007,
	title = {Entanglement {Renormalization}},
	volume = {99},
	number = {22},
	journal = {Phys. Rev. Lett.},
	author = {Vidal, G.},
	year = {2007},
	note = {cond-mat/0512165},
	pages = {220405}
}

@unpublished{verstraete_renormalization_2004,
	title = {Renormalization algorithms for {Quantum}-{Many} {Body} {Systems} in two and higher dimensions},
	author = {Verstraete, F. and Cirac, J. I.},
	year = {2004},
	note = {cond-mat/0407066}
}

@article{orus_practical_2014,
	title = {A practical introduction to tensor networks: {Matrix} product states and projected entangled pair states},
	volume = {349},
	issn = {0003-4916},
	journal = {Annals of Physics},
	author = {Or{\'u}s, Rom{\'a}n},
	month = oct,
	year = {2014},
	pages = {117--158},
}

@article{haegeman_geometry_2014,
	title = {Geometry of matrix product states: {Metric}, parallel transport, and curvature},
	volume = {55},
	number = {2},
	urldate = {2015-03-02},
	journal = {Journal of Mathematical Physics},
	author = {Haegeman, Jutho and Mari{\"e}n, Micha{\"e}l and Osborne, Tobias J. and Verstraete, Frank},
	month = feb,
	year = {2014},
	pages = {021902},
}

@article{poulin_quantum_2011,
	title = {Quantum {Simulation} of {Time}-{Dependent} {Hamiltonians} and the {Convenient} {Illusion} of {Hilbert} {Space}},
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	number = {17},
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	year = {2011},
	note = {arXiv:1102.1360},
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}

@article{maldacena_cool_2013,
	title = {Cool horizons for entangled black holes},
	volume = {61},
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	year = {2013},
	pages = {781 -- 811},
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@article{almheiri_black_2013,
	title = {Black holes: complementarity or firewalls?},
	volume = {2013},
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	year = {2013},
	pages = {1--20},
}

@article{czech_information_2014,
	title = {The {Information} {Theoretic} {Interpretation} of the {Length} of a {Curve}},
	author = {Czech, Bartlomiej and Hayden, Patrick and Lashkari, Nima and Swingle, Brian},
	month = oct,
	year = {2014},
	note = {arXiv:1410.1540},
}

@article{almheiri_bulk_2014,
	title = {Bulk {Locality} and {Quantum} {Error} {Correction} in {AdS}/{CFT}},
	note = {arXiv:1411.7041},
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	month = nov,
	year = {2014},
}

@article{bousso_holographic_2002,
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}

@book{haag_local_1996,
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}

@book{glimm_quantum_1987,
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@book{streater_pct_1989,
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@unpublished{moore_lecture_2012,
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	year = {2012}
}

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@book{arnold_mathematical_1989,
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@book{eden_analytic_2002,
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@article{durr_ab_2008,
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@article{wilson_confinement_1974,
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@book{creutz_quarks_1985,
	address = {Cambridge},
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	publisher = {Cambridge University Press},
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@book{costello_renormalization_2011,
	series = {Mathematical {Surveys} and {Monographs}},
	title = {Renormalization and {Effective} {Field} {Theory}},
	volume = {170},
	publisher = {American Mathematical Society},
	address = {Providence, RI},
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}

@book{joos_decoherence_2003,
	title = {Decoherence and the {Appearance} of a {Classical} {World} in {Quantum} {Theory}},
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	month = may,
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}

@book{gardiner_quantum_2010,
	title = {Quantum {Noise}: {A} {Handbook} of {Markovian} and {Non}-{Markovian} {Quantum} {Stochastic} {Methods} with {Applications} to {Quantum} {Optics}},
	publisher = {Springer},
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	month = dec,
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}

@misc{seiberg_nathan_2014,
	title = {Nathan {Seiberg}: 2015 {Breakthrough} {Prize} in {Fundamental} {Physics} {Symposium} - {YouTube}},
	note = {https://www.youtube.com/watch?v=Hi3e0HVxlFo},
	year = {2014},
	author = {Seiberg, Nathan},
}

@article{ryu_aspects_2006,
	title = {Aspects of holographic entanglement entropy},
	volume = {2006},
	number = {08},
	journal = {JHEP},
	author = {Ryu, Shinsei and Takayanagi, Tadashi},
	year = {2006},
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@article{ryu_holographic_2006,
	title = {Holographic {Derivation} of {Entanglement} {Entropy} from the anti–de {Sitter} {Space}/{Conformal} {Field} {Theory} {Correspondence}},
	volume = {96},
	number = {18},
	journal = {Phys. Rev. Lett.},
	author = {Ryu, Shinsei and Takayanagi, Tadashi},
	year = {2006},
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@article{nishioka_holographic_2009,
	title = {Holographic entanglement entropy: an overview},
	volume = {42},
	number = {50},
	journal = {J. Phys. A},
	author = {Nishioka, Tatsuma and Ryu, Shinsei and Takayanagi, Tadashi},
	year = {2009},
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@article{mollabashi_holographic_2013,
	title = {Holographic {Geometry} of {cMERA} for {Quantum} {Quenches} and {Finite} {Temperature}},
	month = nov,
	year = {2013},
	note = {arXiv: 1311.6095},
}

@article{nozaki_holographic_2012,
	title = {Holographic geometry of entanglement renormalization in quantum field theories},
	volume = {2012},
	number = {10},
	journal = {Journal of High Energy Physics},
	author = {Nozaki, Masahiro and Ryu, Shinsei and Takayanagi, Tadashi},
	month = oct,
	year = {2012},
	pages = {1--40},
}

@article{swingle_entanglement_2012,
	title = {Entanglement renormalization and holography},
	volume = {86},
	doi = {10.1103/PhysRevD.86.065007},
	number = {6},
	journal = {Phys. Rev. D},
	author = {Swingle, Brian},
	year = {2012},
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}

@article{arkani-hamed_duality_2010,
	title = {A duality for the {S} matrix},
	volume = {2010},
	number = {3},
	journal = {Journal of High Energy Physics},
	author = {Arkani-Hamed, N. and Cachazo, F. and Cheung, C. and Kaplan, J.},
	month = mar,
	year = {2010},
	pages = {1--70},
}

@article{arkani-hamed_into_2014,
	title = {Into the amplituhedron},
	volume = {2014},
	number = {12},
	journal = {Journal of High Energy Physics},
	author = {Arkani-Hamed, Nima and Trnka, Jaroslav},
	month = dec,
	year = {2014},
	pages = {1--32},
}

@article{arkani-hamed_tree_2008,
	title = {On tree amplitudes in gauge theory and gravity},
	volume = {2008},
	number = {4},
	journal = {Journal of High Energy Physics},
	author = {Arkani-Hamed, Nima and Kaplan, Jared},
	month = apr,
	year = {2008},
	pages = {076},
}

@article{arkani-hamed_scattering_2012,
	title = {Scattering {Amplitudes} and the {Positive} {Grassmannian}},
	author = {Arkani-Hamed, Nima and Bourjaily, Jacob L. and Cachazo, Freddy and Goncharov, Alexander B. and Postnikov, Alexander and Trnka, Jaroslav},
	month = dec,
	year = {2012},
	note = {arXiv:1212.5605},
}

@article{arkani-hamed_all-loop_2011,
	title = {The all-loop integrand for scattering amplitudes in planar $\mathcal{N} = 4$ {SYM}},
	volume = {2011},
	number = {1},
	journal = {Journal of High Energy Physics},
	author = {Arkani-Hamed, N. and Bourjaily, J. and Cachazo, F. and Caron-Huot, S. and Trnka, J.},
	month = jan,
	year = {2011},
	pages = {1--46},
}

@article{arkani-hamed_amplituhedron_2014,
	title = {The {Amplituhedron}},
	volume = {2014},
	number = {10},
	journal = {Journal of High Energy Physics},
	author = {Arkani-Hamed, Nima and Trnka, Jaroslav},
	month = oct,
	year = {2014},
	pages = {1--33},
}

@article{arkani-hamed_s-matrix_2010,
	title = {The {S}-matrix in twistor space},
	volume = {2010},
	number = {3},
	urldate = {2015-02-20},
	journal = {Journal of High Energy Physics},
	author = {Arkani-Hamed, N. and Cachazo, F. and Cheung, C. and Kaplan, J.},
	month = mar,
	year = {2010},
	pages = {1--48},
}

@article{arkani-hamed_what_2010,
	title = {What is the simplest quantum field theory?},
	volume = {2010},
	number = {9},
	journal = {Journal of High Energy Physics},
	author = {Arkani-Hamed, Nima and Cachazo, Freddy and Kaplan, Jared},
	month = sep,
	year = {2010},
	pages = {1--92},
}

@book{weinberg_quantum_1996,
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	title = {The quantum theory of fields. {Vol}. {I}},
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@book{weinberg_quantum_1996-1,
	address = {Cambridge},
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@book{weinberg_quantum_2000,
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@misc{witten_surface_2006,
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@book{fradkin_field_2013,
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@book{peskin_introduction_1995,
	address = {Reading, MA},
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@article{wilson_renormalization_1974,
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@article{wilson_renormalization_1975,
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