Fetching the paper…
Reading the bibliography…
We present novel algorithmic solutions together with implementation details utilizing non-Abelian symmetries in order to boost the current limits of tensor network state algorithms on high performance computing infrastructure.
The theory of positrons
R. P. Feynman · 1949
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.
Quantum Mechanics, Volume II
Albert Messiah · 1962
Earlier work this paper cites.
Quantum Theory of Angular Momentum
A. N. Moskalev D. A Varshalovich and V. K. Khersonskii · 1988
Earlier work this paper cites.
Density matrix formulation for quantum renormalization groups
Steven R. White · 1992
Earlier work this paper cites.
Density-matrix renormalization-group method in momentum space
T. Xiang · 1996
Earlier work this paper cites.
Group Theory in Physics, An Introduction
J. F. Cornwell · 1997
Earlier work this paper cites.
Ab initio quantum chemistry using the density matrix renormalization group
Steven R. White and Richard L. Martin · 1999
Earlier work this paper cites.
The non-abelian density matrix renormalization group algorithm
Ian P McCulloch and Miklós Gulácsi · 2002
Earlier work this paper cites.
The non-Abelian density matrix renormalization group algorithm
I. P. McCulloch and M. Gulácsi · 2002
Earlier work this paper cites.
Optimizing the density-matrix renormalization group method using quantum information entropy
Ö. Legeza and J. Sólyom · 2003
Earlier work this paper cites.
Parallelization strategies for density matrix renormalization group algorithms on shared-memory systems
G. Hager, E. Jeckelmann, H. Fehske, and G. Wellein · 2004
Earlier work this paper cites.
The density matrix renormalization group for finite Fermi systems
Jorge Dukelsky and Stuart Pittel · 2004
Earlier work this paper cites.
State-of-the-art density matrix renormalization group and coupled cluster theory studies of the nitrogen binding curve
Garnet Kin-Lic Chan, Mihály Kállay, and Jürgen Gauss · 2004
Earlier work this paper cites.
The density-matrix renormalization group
Ulrich Schollwöck · 2005
Earlier work this paper cites.
Diagonalization- and numerical renormalization-group-based methods for interacting quantum systems
Reinhard M. Noack · 2005
Earlier work this paper cites.
From density-matrix renormalization group to matrix product states
Ian P McCulloch · 2007
Earlier work this paper cites.
Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems
F. Verstraete, V. Murg, and J.I. Cirac · 2008
Earlier work this paper cites.
Applications of quantum information in the density-matrix renormalization group
Ö. Legeza, R.M. Noack, J. Sólyom, and L. Tincani · 2008
Earlier work this paper cites.
An introduction to the density matrix renormalization group ansatz in quantum chemistry
Garnet Kin-Lic Chan, Jonathan J. Dorando, Debashree Ghosh, Johannes Hachmann, Eric Neuscamman, Haitao Wang, and Takeshi Yanai · 2008
Earlier work this paper cites.
Density matrix numerical renormalization group for non-abelian symmetries
AI Tóth, CP Moca, Ö Legeza, and G Zaránd · 2008
Earlier work this paper cites.
Manual for the flexible dm-nrg code, 2008
O. Legeza, C. P. Moca, A. I. Toth, I. Weymann, and G. Zarand · 2008
Earlier work this paper cites.
The density-matrix renormalization group in the age of matrix product states
Ulrich Schollwöck · 2011
Earlier work this paper cites.
http://www.mathworks.com/matlabcentral/fileexchange/20619 , 2011
Kobi · 2011
Earlier work this paper cites.
Phys. Rev. B
C. P. Moca, A. Alex, J. von Delft, and G. Zarand · 2012
Earlier work this paper cites.
Spin-adapted density matrix renormalization group algorithms for quantum chemistry
Sandeep Sharma and Garnet Kin-Lic Chan · 2012
Cited alongside, same era.
Non-abelian symmetries in tensor networks: A quantum symmetry space approach
Andreas Weichselbaum · 2012
Cited alongside, same era.
Tensor network states and algorithms in the presence of a global su(2) symmetry
Sukhwinder Singh and Guifre Vidal · 2012
Cited alongside, same era.
Real-space parallel density matrix renormalization group
E. M. Stoudenmire and Steven R. White · 2013
Cited alongside, same era.
The density matrix renormalization group algorithm on kilo-processor architectures: Implementation and trade-offs
Csaba Nemes, Gergely Barcza, Zoltán Nagy, Örs Legeza, and Péter Szolgay · 2014
Cited alongside, same era.
A practical introduction to tensor networks: Matrix product states and projected entangled pair states
The density matrix renormalization group in chemistry and molecular physics: Recent developments and new challenges
Alberto Baiardi and Markus Reiher · 2020
Later among the works it cites.
Phys. Rev. Research
A. Weichselbaum · 2020
Later among the works it cites.
Quantum quench and charge oscillations in the su (3) hubbard model: A test of time evolving block decimation with general non-abelian symmetries
Miklós Antal Werner, Cătălin Paşcu Moca, Örs Legeza, and Gergely Zaránd · 2020
Later among the works it cites.
Quantum quench and charge oscillations in the SU(3) hubbard model: A test of time evolving block decimation with general non-abelian symmetries
Mikló s Antal Werner, Cătălin Paşcu Moca, Örs Legeza, and Gergely Zaránd · 2020
Later among the works it cites.
Neci: N-electron configuration interaction with an emphasis on state-of-the-art stochastic methods
Kai Guther, Robert J. Anderson, Nick S. Blunt, Nikolay A. Bogdanov, Deidre Cleland, Nike Dattani, Werner Dobrautz, Khaldoon Ghanem, Peter Jeszenszki, Niklas Liebermann, Giovanni Li Manni, Alexander Y. Lozovoi, Hongjun Luo, Dongxia Ma, Florian Merz, Catherine Overy, Markus Rampp, Pradipta Kumar Samanta, Lauretta R. Schwarz, James J. Shepherd, Simon D. Smart, Eugenio Vitale, Oskar Weser, George H. Booth, and Ali Alavi · 2020
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Román Orús · 2014
Cited alongside, same era.
The density matrix renormalization group for ab initio quantum chemistry
Sebastian Wouters and Dimitri Van Neck · 2014
Cited alongside, same era.
Communication: Four-component density matrix renormalization group
Stefan Knecht, Örs Legeza, and Markus Reiher · 2014
Cited alongside, same era.
Mechanism of nitrogen fixation by nitrogenase: The next stage
Brian M. Hoffman, Dmitriy Lukoyanov, Zhi-Yong Yang, Dennis R. Dean, and Lance C. Seefeldt · 2014
Cited alongside, same era.
Tensor product methods and entanglement optimization for ab initio quantum chemistry
Szilárd Szalay, Max Pfeffer, Valentin Murg, Gergely Barcza, Frank Verstraete, Reinhold Schneider, and Örs Legeza · 2015
Cited alongside, same era.
Tensor numerical methods in quantum chemistry: from hartree–fock to excitation energies
Venera Khoromskaiaab and Boris N. Khoromskijb · 2015
Cited alongside, same era.
Advanced density matrix renormalization group method for nuclear structure calculations
Ö. Legeza, L. Veis, A. Poves, and J. Dukelsky · 2015
Cited alongside, same era.
Later among the works it cites.
Benchmarking the nvidia gpu lineage: From early k80 to modern a100 with asynchronous memory transfers, 2021
Martin Svedin, Steven W. D. Chien, Gibson Chikafa, Niclas Jansson, and Artur Podobas · 2021
Later among the works it cites.
Massively parallel quantum chemical density matrix renormalization group method
Jiri Brabec, Jan Brandejs, Karol Kowalski, Sotiris Xantheas, Örs Legeza, and Libor Veis · 2021
Later among the works it cites.
Low communication high performance ab initio density matrix renormalization group algorithms
Huanchen Zhai and Garnet Kin-Lic Chan · 2021
Later among the works it cites.
Hyper-optimized tensor network contraction
Johnnie Gray and Stefanos Kourtis · 2021
Later among the works it cites.
Dmrg on top of plane-wave kohn-sham orbitals: case study of defected boron nitride
Gergely Barcza, Viktor Ivády, Tibor Szilvási, Márton Vörös, Libor Veis, Ádám Gali, and Örs Legeza · 2021
Later among the works it cites.
Nvidia a100 tensor core gpu
NVIDIA · 2021
Later among the works it cites.
Sapphire rapids: The next-generation intel xeon scalable processor
Nevine Nassif, Ashley O. Munch, Carleton L. Molnar, Gerald Pasdast, Sitaraman V. Lyer, Zibing Yang, Oscar Mendoza, Mark Huddart, Srikrishnan Venkataraman, Sireesha Kandula, Rafi Marom, Alexandra M. Kern, Bill Bowhill, David R. Mulvihill, Srikanth Nimmagadda, Varma Kalidindi, Jonathan Krause, Mohammad M. Haq, Roopali Sharma, and Kevin Duda · 2022
Later among the works it cites.
Zen3: The amd 2nd-generation 7nm x86-64 microprocessor core
Thomas Burd, Wilson Li, James Pistole, Srividhya Venkataraman, Michael McCabe, Timothy Johnson, James Vinh, Thomas Yiu, Mark Wasio, Hon-Hin Wong, Daryl Lieu, Jonathan White, Benjamin Munger, Joshua Lindner, Javin Olson, Steven Bakke, Jeshuah Sniderman, Carson Henrion, Russell Schreiber, Eric Busta, Brett Johnson, Tim Jackson, Aron Miller, Ryan Miller, Matthew Pickett, Aaron Horiuchi, Josef Dvorak, Sabeesh Balagangadharan, Sajeesh Ammikkallingal, and Pankaj Kumar · 2022
Later among the works it cites.
Nvidia hopper gpu and grace cpu highlights
Anne C. Elster and Tor A. Haugdahl · 2022
Later among the works it cites.
Exatn: Scalable gpu-accelerated high-performance processing of general tensor networks at exascale
Dmitry Lyakh, Thien Nguyen, Daniel Claudino, and Eugene Dumitrescu · 2022
Later among the works it cites.
DMRG-budapest, a program for condensed matter, quantum chemical, and nuclear shell DMRG calculations, 2022
Örs Legeza, Libor Veis, and Tamás Mosoni · 2022
Later among the works it cites.
Gero Friesecke, Gergely Barcza, and Legeza Örs · 2022
Later among the works it cites.
A herculean task: Classical simulation of quantum computers, 2023
Xiaosi Xu, Simon Benjamin, Jinzhao Sun, Xiao Yuan, and Pan Zhang · 2023
Closest in time.
“zen 4”: The amd 5nm 5.7ghz x86-64 microprocessor core
Benjamin Munger, Kathy Wilcox, Jeshuah Sniderman, Chuck Tung, Brett Johnson, Russell Schreiber, Carson Henrion, Kevin Gillespie, Tom Burd, Harry Fair, David Johnson, Jonathan White, Scott McLelland, Steven Bakke, Javin Olson, Ryan McCracken, Matthew Pickett, Aaron Horiuchi, Hien Nguyen, and Tim H Jackson · 2023
Closest in time.
High Performance Computing. ISC High Performance 2022 International Workshops: Hamburg, Germany, May 29 – June 2, 2022, Revised Selected Papers
H. Anzt, A. Bienz, P. Luszczek, and M. Baboulin · 2023
Closest in time.
Density matrix renormalization group with tensor processing units
Martin Ganahl, Jackson Beall, Markus Hauru, Adam G.M. Lewis, Tomasz Wojno, Jae Hyeon Yoo, Yijian Zou, and Guifre Vidal · 2023
Closest in time.
Supercomputing tensor networks for u(1) symmetric quantum many-body systems, 2023
Minzhao Liu, Changhun Oh, Junyu Liu, Liang Jiang, and Yuri Alexeev · 2023
Closest in time.
Massively parallel tensor network state algorithms on hybrid cpu-gpu based architectures, 2023
Andor Menczer and Örs Legeza · 2023
Closest in time.
Matrix and tensor library for the density matrix renormalization group method, 1995–2023
Örs Legeza · 2023
Closest in time.