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The idea that symmetries simplify or reduce the complexity of a system has been remarkably fruitful in physics, and especially in quantum mechanics.
The conceptual foundations of the statistical approach in mechanics
Paul Ehrenfest and Tatiana Ehrenfest · 1912
Earlier work this paper cites.
Invariante variationsprobleme
Emmy Noether · 1918
Earlier work this paper cites.
Über den anschaulichen inhalt der quantentheoretischen kinematik und mechanik
Werner Heisenberg · 1927
Earlier work this paper cites.
Zur algebra der funktionaloperationen und theorie der normalen operatoren
J v Neumann · 1930
Earlier work this paper cites.
On rings of operators
Francis J Murray and J v Neumann · 1936
Earlier work this paper cites.
Group theory and its application to the quantum mechanics of atomic spectra
Eugene Paul Wigner · 1959
Earlier work this paper cites.
Handbook of mathematical functions with formulas, graphs, and mathematical tables , volume 55
Milton Abramowitz and Irene A Stegun · 1972
Earlier work this paper cites.
The renormalization group: Critical phenomena and the kondo problem
Kenneth G. Wilson · 1975
Earlier work this paper cites.
Finite-dimensional quantum mechanics of a particle
R Jagannathan, TS Santhanam, and R Vasudevan · 1981
Earlier work this paper cites.
Group theory in physics: an introduction to symmetry principles, group representations, and special functions in classical and quantum physics
Wu-Ki Tung · 1985
Earlier work this paper cites.
The quantum theory of fields , volume 1
Steven Weinberg · 1995
Earlier work this paper cites.
The quantum theory of measurement
Paul Busch, Pekka J Lahti, and Peter Mittelstaedt · 1996
Earlier work this paper cites.
On some inequalities for the gamma and psi functions
Horst Alzer · 1997
Earlier work this paper cites.
Group theory in physics: An introduction
John F Cornwell · 1997
Earlier work this paper cites.
Quantum computation and decision trees
Edward Farhi and Sam Gutmann · 1998
Earlier work this paper cites.
Quantum computation with quantum dots
Daniel Loss and David P. DiVincenzo · 1998
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Universal fault-tolerant quantum computation on decoherence-free subspaces
D. Bacon, J. Kempe, D. A. Lidar, and K. B. Whaley · 2000
Earlier work this paper cites.
Universal quantum computation with the exchange interaction
David P DiVincenzo, Dave Bacon, Julia Kempe, Guido Burkard, and K Birgitta Whaley · 2000
Earlier work this paper cites.
Statistical physics: statics, dynamics and renormalization
Leo P Kadanoff · 2000
Earlier work this paper cites.
Theory of quantum error correction for general noise
Emanuel Knill, Raymond Laflamme, and Lorenza Viola · 2000
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Theory of decoherence-free fault-tolerant universal quantum computation
J. Kempe, D. Bacon, D. A. Lidar, and K. B. Whaley · 2001
Earlier work this paper cites.
Constructing qubits in physical systems
Lorenza Viola, Emanuel Knill, and Raymond Laflamme · 2001
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Virtual quantum subsystems
Paolo Zanardi · 2001
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The theory of open quantum systems
Heinz-Peter Breuer, Francesco Petruccione, et al · 2002
Earlier work this paper cites.
An example of the difference between quantum and classical random walks
Andrew M Childs, Edward Farhi, and Sam Gutmann · 2002
Earlier work this paper cites.
Generalizations of entanglement based on coherent states and convex sets
Howard Barnum, Emanuel Knill, Gerardo Ortiz, and Lorenza Viola · 2003
Earlier work this paper cites.
Self-induced decoherence: a new approach
Mario Castagnino and Olimpia Lombardi · 2003
Earlier work this paper cites.
Exponential algorithmic speedup by a quantum walk
Andrew M Childs, Richard Cleve, Enrico Deotto, Edward Farhi, Sam Gutmann, and Daniel A Spielman · 2003
Earlier work this paper cites.
Noiseless subsystems and the structure of the commutant in quantum error correction
John A Holbrook, David W Kribs, and Raymond Laflamme · 2003
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Decoherence-free subspaces and subsystems
Daniel A Lidar and K Birgitta Whaley · 2003
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Universally valid reformulation of the heisenberg uncertainty principle on noise and disturbance in measurement
Masanao Ozawa · 2003
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Decoherence, einselection, and the quantum origins of the classical
Wojciech Hubert Zurek · 2003
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A subsystem-independent generalization of entanglement
Howard Barnum, Emanuel Knill, Gerardo Ortiz, Rolando Somma, and Lorenza Viola · 2004
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Superselection rules and quantum protocols
Alexei Kitaev, Dominic Mayers, and John Preskill · 2004
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Renormalization methods: a guide for beginners
William D McComb, WD McComb, et al · 2004
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Entanglement beyond subsystems
Lorenza Viola, Howard Barnum, Emanuel Knill, Gerardo Ortiz, and Rolando Somma · 2004
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Quantum systems with finite hilbert space
Apostolos Vourdas · 2004
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Quantum tensor product structures are observable induced
Paolo Zanardi, Daniel A. Lidar, and Seth Lloyd · 2004
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Unified and generalized approach to quantum error correction
David Kribs, Raymond Laflamme, and David Poulin · 2005
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Error-tradeoff and error-disturbance relations for incompatible quantum measurements
Cyril Branciard · 2013
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Proof of heisenberg’s error-disturbance relation
Paul Busch, Pekka Lahti, and Reinhard F. Werner · 2013
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Minimal length scale scenarios for quantum gravity
Sabine Hossenfelder · 2013
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The theory of manipulations of pure state asymmetry: I. basic tools, equivalence classes and single copy transformations
Iman Marvian and Robert W Spekkens · 2013
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Numerical method for finding decoherence-free subspaces and its applications
Xiaoting Wang, Mark Byrd, and Kurt Jacobs · 2013
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Noise and disturbance in quantum measurements: an information-theoretic approach
Francesco Buscemi, Michael JW Hall, Masanao Ozawa, and Mark M Wilde · 2014
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David Poulin · 2005
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Decoherence the measurement problem, and interpretations of quantum mechanics
Maximilian Schlosshauer · 2005
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Operator quantum error-correcting subsystems for self-correcting quantum memories
Dave Bacon · 2006
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Complementarity and uncertainty in mach–zehnder interferometry and beyond
Paul Busch and Christopher Shilladay · 2006
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Model reduction and coarse-graining approaches for multiscale phenomena
Alexander N Gorban, Nikolaos K Kazantzis, Ioannis G Kevrekidis, Hans Christian Öttinger, and Constantinos Theodoropoulos · 2006
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Operator quantum error correction
David W Kribs, Raymond Laflamme, David Poulin, and Maia Lesosky · 2006
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Decoherence: A Closed-System Approach
Sebastian Fortin, Olimpia Lombardi, and Mario Castagnino · 2014
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Quantum reference frames and the poincaré symmetry
Oleg Kabernik · 2014
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Operational constraints on state-dependent formulations of quantum error-disturbance trade-off relations
Kamil Korzekwa, David Jennings, and Terry Rudolph · 2014
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Review of decoherence free subspaces, noiseless subsystems, and dynamical decoupling
Daniel A Lidar · 2014
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Bulk locality and quantum error correction in ads/cft
Ahmed Almheiri, Xi Dong, and Daniel Harlow · 2015
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Algebraic approach to quantum theory: a finite-dimensional guide
Cédric Bény and Florian Richter · 2015
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Von Neumann Algebras
Vaughan F. R. Jones · 2015
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Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
Fernando Pastawski, Beni Yoshida, Daniel Harlow, and John Preskill · 2015
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A note on different definitions of momentum disturbance
Lee A Rozema, Dylan H Mahler, Alex Hayat, and Aephraim M Steinberg · 2015
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Quantum Coarse-Graining: An Information-theoretic Approach to thermodynamics
Philippe Faist · 2016
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Coarse graining the phase space of N qubits
Olivia Di Matteo, Luis L. Sánchez-Soto, Gerd Leuchs, and Markus Grassl · 2017
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Emerging dynamics arising from coarse-grained quantum systems
Cristhiano Duarte, Gabriel Dias Carvalho, Nadja K Bernardes, and Fernando de Melo · 2017
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A decoherence-free subspace in a charge quadrupole qubit
Mark Friesen, Joydip Ghosh, MA Eriksson, and SN Coppersmith · 2017
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The ryu–takayanagi formula from quantum error correction
Daniel Harlow · 2017
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An introduction to operational quantum dynamics
Simon Milz, Felix A Pollock, and Kavan Modi · 2017
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Three-electron spin qubits
Maximilian Russ and Guido Burkard · 2017
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Quantum Compression Relative to a Set of Measurements
Andreas Bluhm, Lukas Rauber, and Michael M. Wolf · 2018
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Lie algebras in particle physics: from Isospin To Unified Theories
Howard Georgi · 2018
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Quantum information measures for restricted sets of observables
Sudip Ghosh and Suvrat Raju · 2018
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Quantum coarse graining, symmetries, and reducibility of dynamics
Oleg Kabernik · 2018
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Locality from the spectrum
Jordan S Cotler, Geoffrey R Penington, and Daniel H Ranard · 2019
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Quantum mereology: Factorizing hilbert space into subsystems with quasi-classical dynamics, 2020
Sean M. Carroll and Ashmeet Singh · 2020
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Macro-to-micro quantum mapping and the emergence of nonlinearity
Pedro Silva Correia, Paola Concha Obando, Raúl O Vallejos, and Fernando de Melo · 2020
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Compatibility between agents as a tool for coarse-grained descriptions of quantum systems
Cristhiano André Duarte · 2020
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Quantifying the uncertainty principle and the effects of minimal length from a finite-dimensional perspective
Oleg Kabernik · 2020
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Quantum state reduction: Generalized bipartitions from algebras of observables
Oleg Kabernik, Jason Pollack, and Ashmeet Singh · 2020
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Coupled quantum dots as quantum gates
Guido Burkard, Daniel Loss, and David P. DiVincenzo · 2070
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