Fetching the paper…
Reading the bibliography…
The current theoretical framework for topological phases of matter is based on the thermodynamic limit of a system with geometrically local interactions.
Ueber die berechnung chemischer gleichgewichte aus thermischen messungen
Walther Nernst · 1906
Earlier work this paper cites.
The third law of thermodynamics
John Wilks · 1961
Earlier work this paper cites.
The finite group velocity of quantum spin systems
Elliott H Lieb and Derek W Robinson · 1972
Earlier work this paper cites.
Quantum field theory and the jones polynomial
Edward Witten · 1989
Earlier work this paper cites.
Ground-state degeneracy of the fractional quantum hall states in the presence of a random potential and on high-genus riemann surfaces
Xiao-Gang Wen and Qian Niu · 1990
Earlier work this paper cites.
Gapless spin-fluid ground state in a random quantum heisenberg magnet
Subir Sachdev and Jinwu Ye · 1993
Earlier work this paper cites.
Theory of quantum error correction for general noise
Emanuel Knill, Raymond Laflamme, and Lorenza Viola · 2000
Earlier work this paper cites.
Z2-systolic freedom and quantum codes
Michael H Freedman, David A Meyer, and Feng Luo · 2002
Earlier work this paper cites.
Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
Earlier work this paper cites.
Quantum Field Theory of Many-Body Systems
Xiao-Gang Wen · 2004
Earlier work this paper cites.
Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance
Matthew B Hastings and Xiao-Gang Wen · 2005
Earlier work this paper cites.
Solving gapped hamiltonians locally
Matthew B Hastings · 2006
Earlier work this paper cites.
Anyons in an exactly solved model and beyond
Alexei Kitaev · 2006
Earlier work this paper cites.
Lieb-robinson bounds and the generation of correlations and topological quantum order
Sergey Bravyi, Matthew B Hastings, and Frank Verstraete · 2006
Earlier work this paper cites.
Spectral gap and exponential decay of correlations
Matthew B Hastings and Tohru Koma · 2006
Earlier work this paper cites.
Simulating adiabatic evolution of gapped spin systems
Tobias J Osborne · 2007
Earlier work this paper cites.
Non-abelian anyons and topological quantum computation
Chetan Nayak, Steven H. Simon, Ady Stern, Michael Freedman, and Sankar Das Sarma · 2008
Earlier work this paper cites.
Topological Quantum Computation
Zhenghan Wang · 2008
Earlier work this paper cites.
Colloquium: Topological insulators
M. Z. Hasan and C. L. Kane · 2010
Earlier work this paper cites.
Topological quantum order: stability under local perturbations
Sergey Bravyi, Matthew B Hastings, and Spyridon Michalakis · 2010
Earlier work this paper cites.
Local unitary transformation, long-range quantum entanglement, wave function renormalization, and topological order
Xie Chen, Zheng-Cheng Gu, and Xiao-Gang Wen · 2010
Earlier work this paper cites.
Topological insulators and superconductors
Xiao-Liang Qi and Shou-Cheng Zhang · 2011
Earlier work this paper cites.
A short proof of stability of topological order under local perturbations
Sergey Bravyi and Matthew B Hastings · 2011
Earlier work this paper cites.
Automorphic equivalence within gapped phases of quantum lattice systems
Sven Bachmann, Spyridon Michalakis, Bruno Nachtergaele, and Robert Sims · 2012
Earlier work this paper cites.
Topological insulators and topological superconductors
B Andrei Bernevig · 2013
Cited alongside, same era.
Stability of frustration-free hamiltonians
Spyridon Michalakis and Justyna P Zwolak · 2013
Cited alongside, same era.
Guest column: the quantum pcp conjecture
Dorit Aharonov, Itai Arad, and Thomas Vidick · 2013
Cited alongside, same era.
Michael H Freedman and Matthew B Hastings · 2013
Cited alongside, same era.
Symmetry-protected topological phases of quantum matter
T. Senthil · 2015
Cited alongside, same era.
Bekenstein-hawking entropy and strange metals
Subir Sachdev · 2015
Cited alongside, same era.
Single-shot decoding of linear rate ldpc quantum codes with high performance
Nikolas P Breuckmann and Vivien Londe · 2021
Later among the works it cites.
Operator growth bounds from graph theory
Chi-Fang Chen and Andrew Lucas · 2021
Later among the works it cites.
A quantum processor based on coherent transport of entangled atom arrays
Dolev Bluvstein, Harry Levine, Giulia Semeghini, Tout T Wang, Sepehr Ebadi, Marcin Kalinowski, Alexander Keesling, Nishad Maskara, Hannes Pichler, Markus Greiner, et al · 2022
Later among the works it cites.
Asymptotically good quantum and locally testable classical ldpc codes
Pavel Panteleev and Gleb Kalachev · 2022
Later among the works it cites.
Good quantum ldpc codes with linear time decoder from lossless expanders
Ting-Chun Lin and Min-Hsiu Hsieh · 2022
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
A simple model of quantum holography,(2015) http://online. kitp. ucsb. edu/online/entangled15/kitaev/, http://online. kitp. ucsb. edu/online/entangled15/kitaev2/, talks at kitp
A Kitaev · 2015
Cited alongside, same era.
Quantization of hall conductance for interacting electrons on a torus
Matthew B Hastings and Spyridon Michalakis · 2015
Cited alongside, same era.
Quantum expander codes
Anthony Leverrier, Jean-Pierre Tillich, and Gilles Zémor · 2015
Cited alongside, same era.
Remarks on the sachdev-ye-kitaev model
Juan Maldacena and Douglas Stanford · 2016
Cited alongside, same era.
Constructions and noise threshold of hyperbolic surface codes
N. P. Breuckmann and B. M. Terhal · 2016
Cited alongside, same era.
A general derivation and quantification of the third law of thermodynamics
Lluís Masanes and Jonathan Oppenheim · 2017
Cited alongside, same era.
Anthony Leverrier and Gilles Zémor · 2022
Later among the works it cites.
Quasi-locality bounds for quantum lattice systems. part ii. perturbations of frustration-free spin models with gapped ground states
Bruno Nachtergaele, Robert Sims, and Amanda Young · 2022
Later among the works it cites.
Good Quantum LDPC Codes with Linear Time Decoders
Irit Dinur, Min-Hsiu Hsieh, Ting-Chun Lin, and Thomas Vidick · 2022
Later among the works it cites.
Quantum Phases of Matter
Subir Sachdev · 2023
Later among the works it cites.
Topological order from measurements and feed-forward on a trapped ion quantum computer
Mohsin Iqbal, Nathanan Tantivasadakarn, Thomas M Gatterman, Justin A Gerber, Kevin Gilmore, Dan Gresh, Aaron Hankin, Nathan Hewitt, Chandler V Horst, Mitchell Matheny, et al · 2023
Later among the works it cites.
Good quantum ldpc codes with linear time decoders
Irit Dinur, Min-Hsiu Hsieh, Ting-Chun Lin, and Thomas Vidick · 2023
Later among the works it cites.
The physics of (good) ldpc codes i. gauging and dualities
Tibor Rakovszky and Vedika Khemani · 2023
Later among the works it cites.
Nlts hamiltonians from good quantum codes
Anurag Anshu, Nikolas P Breuckmann, and Chinmay Nirkhe · 2023
Later among the works it cites.
Symmetry-enforced many-body separability transitions
Yu-Hsueh Chen and Tarun Grover · 2023
Later among the works it cites.
Stability of ground state degeneracy to long-range interactions
Matthew F Lapa and Michael Levin · 2023
Later among the works it cites.
An efficient decoder for a linear distance quantum ldpc code
Shouzhen Gu, Christopher A Pattison, and Eugene Tang · 2023
Later among the works it cites.
Non-abelian topological order and anyons on a trapped-ion processor
Mohsin Iqbal, Nathanan Tantivasadakarn, Ruben Verresen, Sara L Campbell, Joan M Dreiling, Caroline Figgatt, John P Gaebler, Jacob Johansen, Michael Mills, Steven A Moses, et al · 2024
Closest in time.
Constant-overhead fault-tolerant quantum computation with reconfigurable atom arrays
Qian Xu, J Pablo Bonilla Ataides, Christopher A Pattison, Nithin Raveendran, Dolev Bluvstein, Jonathan Wurtz, Bane Vasić, Mikhail D Lukin, Liang Jiang, and Hengyun Zhou · 2024
Closest in time.
Logical quantum processor based on reconfigurable atom arrays
Dolev Bluvstein, Simon J Evered, Alexandra A Geim, Sophie H Li, Hengyun Zhou, Tom Manovitz, Sepehr Ebadi, Madelyn Cain, Marcin Kalinowski, Dominik Hangleiter, et al · 2024
Closest in time.
The physics of (good) ldpc codes ii. product constructions
Tibor Rakovszky and Vedika Khemani · 2024
Closest in time.
Eigenstate localization in a many-body quantum system
Chao Yin, Rahul Nandkishore, and Andrew Lucas · 2024
Closest in time.
Nonlocal finite-depth circuits for constructing symmetry-protected topological states and quantum cellular automata
David T Stephen, Arpit Dua, Ali Lavasani, and Rahul Nandkishore · 2024
Closest in time.
Quantum memory at nonzero temperature in a thermodynamically trivial system
Yifan Hong, Jinkang Guo, and Andrew Lucas · 2024
Closest in time.
The stability of gapped quantum matter and error-correction with adiabatic noise
Ali Lavasani and Sagar Vijay · 2024
Closest in time.