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We develop an energy calculation algorithm leveraging quantum phase difference estimation (QPDE) scheme and a tensor-network-based unitary compression method in the preparation of superposition states and time-evolution gates.
Canonical configurational interaction procedure
J M Foster and S F Boys · 1960
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Density matrix formulation for quantum renormalization groups
S R White · 1992
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Quantum measurements and the abelian stabilizer problem
A Yu. Kitaev · 1995
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Optimal quantum circuits for general two-qubit gates
Farrokh Vatan and Colin Williams · 2004
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Constructive quantum shannon decomposition from cartan involutions
Byron Drury and Peter Love · 2008
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Quantum algorithm for linear systems of equations
Aram W Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
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NMR implementation of a molecular hydrogen quantum simulation with adiabatic state preparation
Jiangfeng Du, Nanyang Xu, Xinhua Peng, Pengfei Wang, Sanfeng Wu, and Dawei Lu · 2010
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Towards quantum chemistry on a quantum computer
B P Lanyon, J D Whitfield, G G Gillett, M E Goggin, M P Almeida, I Kassal, J D Biamonte, M Mohseni, B J Powell, M Barbieri, A Aspuru-Guzik, and A G White · 2010
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Quantum Computation and Quantum Information: 10th Anniversary Edition
Michael A Nielsen and Isaac L Chuang · 2010
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The density-matrix renormalization group in the age of matrix product states
Ulrich Schollwöck · 2011
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Challenges for density functional theory
Aron J Cohen, Paula Mori-Sánchez, and Weitao Yang · 2012
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DEAP: evolutionary algorithms made easy
Félix-Antoine Fortin, F Rainville, Marc-André Gardner, M Parizeau, and Christian Gagné · 2012
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Efficient tree tensor network states (TTNS) for quantum chemistry: generalizations of the density matrix renormalization group algorithm
Naoki Nakatani and Garnet Kin-Lic Chan · 2013
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A variational eigenvalue solver on a photonic quantum processor
Alberto Peruzzo, Jarrod McClean, Peter Shadbolt, Man-Hong Yung, Xiao-Qi Zhou, Peter J Love, Alán Aspuru-Guzik, and Jeremy L O’Brien · 2014
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Quantum simulation of helium hydride cation in a solid-state spin register
Ya Wang, Florian Dolde, Jacob Biamonte, Ryan Babbush, Ville Bergholm, Sen Yang, Ingmar Jakobi, Philipp Neumann, Alán Aspuru-Guzik, James D Whitfield, and Jörg Wrachtrup · 2015
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Co-designing a scalable quantum computer with trapped atomic ions
Kenneth R Brown, Jungsang Kim, and Christopher Monroe · 2016
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Jmol, 7 October 2016
Jmol development team · 2016
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Scalable quantum simulation of molecular energies
P J J O’Malley, R Babbush, I D Kivlichan, J Romero, J R McClean, R Barends, J Kelly, P Roushan, A Tranter, N Ding, B Campbell, Y Chen, Z Chen, B Chiaro, A Dunsworth, A G Fowler, E Jeffrey, E Lucero, A Megrant, J Y Mutus, M Neeley, C Neill, C Quintana, D Sank, A Vainsencher, J Wenner, T C White, P V Coveney, P J Love, H Neven, A Aspuru-Guzik, and J M Martinis · 2016
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Geometry optimization made simple with translation and rotation coordinates
Lee-Ping Wang and Chenchen Song · 2016
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Efficient bayesian phase estimation
Nathan Wiebe and Chris Granade · 2016
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Experimental bayesian quantum phase estimation on a silicon photonic chip
S Paesani, A A Gentile, R Santagati, J Wang, N Wiebe, D P Tew, J L O’Brien, and M G Thompson · 2017
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Witnessing eigenstates for quantum simulation of hamiltonian spectra
Raffaele Santagati, Jianwei Wang, Antonio A Gentile, Stefano Paesani, Nathan Wiebe, Jarrod R McClean, Sam Morley-Short, Peter J Shadbolt, Damien Bonneau, Joshua W Silverstone, David P Tew, Xiaoqi Zhou, Jeremy L O’Brien, and Mark G Thompson · 2018
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Quantum chemistry in the age of quantum computing
Yudong Cao, Jonathan Romero, Jonathan P Olson, Matthias Degroote, Peter D Johnson, Mária Kieferová, Ian D Kivlichan, Tim Menke, Borja Peropadre, Nicolas P D Sawaya, Sukin Sim, Libor Veis, and Alán Aspuru-Guzik · 2019
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Mitigating algorithmic errors in a hamiltonian simulation
Suguru Endo, Qi Zhao, Ying Li, Simon Benjamin, and Xiao Yuan · 2019
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Hamiltonian simulation by qubitization
Guang Hao Low and Isaac L Chuang · 2019
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The variational quantum eigensolver: A review of methods and best practices
Jules Tilly, Hongxiang Chen, Shuxiang Cao, Dario Picozzi, Kanav Setia, Ying Li, Edward Grant, Leonard Wossnig, Ivan Rungger, George H Booth, and Jonathan Tennyson · 2022
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Statistical phase estimation and error mitigation on a superconducting quantum processor
Nick S Blunt, Laura Caune, Róbert Izsák, Earl T Campbell, and Nicole Holzmann · 2023
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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
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Evidence for the utility of quantum computing before fault tolerance
Youngseok Kim, Andrew Eddins, Sajant Anand, Ken Xuan Wei, Ewout van den Berg, Sami Rosenblatt, Hasan Nayfeh, Yantao Wu, Michael Zaletel, Kristan Temme, and Abhinav Kandala · 2023
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Classically optimized hamiltonian simulation
Conor Mc Keever and Michael Lubasch · 2023
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Quantum chemistry on quantum computers: A method for preparation of multiconfigurational wave functions on quantum computers without performing post-hartree-fock calculations
Kenji Sugisaki, Shigeaki Nakazawa, Kazuo Toyota, Kazunobu Sato, Daisuke Shiomi, and Takeji Takui · 2019
Cited alongside, same era.
Quantum algorithms for quantum chemistry and quantum materials science
Bela Bauer, Sergey Bravyi, Mario Motta, and Garnet Kin-Lic Chan · 2020
Cited alongside, same era.
The ITensor software library for tensor network calculations
Matthew Fishman, Steven R White, and E Miles Stoudenmire · 2020
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Array programming with NumPy
Charles R Harris, K Jarrod Millman, Stéfan J van der Walt, Ralf Gommers, Pauli Virtanen, David Cournapeau, Eric Wieser, Julian Taylor, Sebastian Berg, Nathaniel J Smith, Robert Kern, Matti Picus, Stephan Hoyer, Marten H van Kerkwijk, Matthew Brett, Allan Haldane, Jaime Fernández Del Río, Mark Wiebe, Pearu Peterson, Pierre Gérard-Marchant, Kevin Sheppard, Tyler Reddy, Warren Weckesser, Hameer Abbasi, Christoph Gohlke, and Travis E Oliphant · 2020
Cited alongside, same era.
Direct estimation of the energy gap between the ground state and excited state with quantum annealing
Yuichiro Matsuzaki, Hideaki Hakoshima, Kenji Sugisaki, Yuya Seki, and Shiro Kawabata · 2020
Cited alongside, same era.
Encoding of matrix product states into quantum circuits of one- and two-qubit gates
Shi-Ju Ran · 2020
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Recent developments in the PySCF program package
Qiming Sun, Xing Zhang, Samragni Banerjee, Peng Bao, Marc Barbry, Nick S Blunt, Nikolay A Bogdanov, George H Booth, Jia Chen, Zhi-Hao Cui, Janus J Eriksen, Yang Gao, Sheng Guo, Jan Hermann, Matthew R Hermes, Kevin Koh, Peter Koval, Susi Lehtola, Zhendong Li, Junzi Liu, Narbe Mardirossian, James D McClain, Mario Motta, Bastien Mussard, Hung Q Pham, Artem Pulkin, Wirawan Purwanto, Paul J Robinson, Enrico Ronca, Elvira R Sayfutyarova, Maximilian Scheurer, Henry F Schurkus, James E T Smith, Chong Sun, Shi-Ning Sun, Shiv Upadhyay, Lucas K Wagner, Xiao Wang, Alec White, James Daniel Whitfield, Mark J Williamson, Sebastian Wouters, Jun Yang, Jason M Yu, Tianyu Zhu, Timothy C Berkelbach, Sandeep Sharma, Alexander Yu Sokolov, and Garnet Kin-Lic Chan · 2020
Cited alongside, same era.
Bonsai algorithm: Grow your own fermion-to-qubit mappings
Aaron Miller, Zoltán Zimborás, Stefan Knecht, Sabrina Maniscalco, and Guillermo García-Pérez · 2023
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Experimental benchmarking of an automated deterministic error-suppression workflow for quantum algorithms
Pranav S Mundada, Aaron Barbosa, Smarak Maity, Yulun Wang, Thomas Merkh, T M Stace, Felicity Nielson, Andre R R Carvalho, Michael Hush, Michael J Biercuk, and Yuval Baum · 2023
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Decomposition of matrix product states into shallow quantum circuits
Manuel S Rudolph, Jing Chen, Jacob Miller, Atithi Acharya, and Alejandro Perdomo-Ortiz · 2023
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Combining matrix product states and noisy quantum computers for quantum simulation
Baptiste Anselme Martin, Thomas Ayral, François Jamet, Marko J Rančić, and Pascal Simon · 2024
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Scalable simulation of nonequilibrium quantum dynamics via classically optimized unitary circuits
Luke Causer, Felix Jung, Asimpunya Mitra, Frank Pollmann, and Adam Gammon-Smith · 2024
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Distributed implementation of full configuration interaction for one trillion determinants
Hong Gao, Satoshi Imamura, Akihiko Kasagi, and Eiji Yoshida · 2024
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Quantum computing with qiskit
Ali Javadi-Abhari, Matthew Treinish, Kevin Krsulich, Christopher J Wood, Jake Lishman, Julien Gacon, Simon Martiel, Paul D Nation, Lev S Bishop, Andrew W Cross, Blake R Johnson, and Jay M Gambetta · 2024
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Quantum computing quantum monte carlo with hybrid tensor network for electronic structure calculations
Shu Kanno, Hajime Nakamura, Takao Kobayashi, Shigeki Gocho, Miho Hatanaka, Naoki Yamamoto, and Qi Gao · 2024
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Towards adiabatic quantum computing using compressed quantum circuits
Conor Mc Keever and Michael Lubasch · 2024
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Classical variational optimization of a PREPARE circuit for quantum phase estimation of quantum chemistry hamiltonians
Hayata Morisaki, Kosuke Mitarai, Keisuke Fujii, and Yuya O Nakagawa · 2024
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The generative quantum eigensolver (GQE) and its application for ground state search
Kouhei Nakaji, Lasse Bjørn Kristensen, Jorge A Campos-Gonzalez-Angulo, Mohammad Ghazi Vakili, Haozhe Huang, Mohsen Bagherimehrab, Christoph Gorgulla, Fute Wong, Alex McCaskey, Jin-Sung Kim, Thien Nguyen, Pooja Rao, and Alan Aspuru-Guzik · 2024
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Quantum optimization using a 127-qubit gate-model IBM quantum computer can outperform quantum annealers for nontrivial binary optimization problems
Natasha Sachdeva, Gavin S Hartnett, Smarak Maity, Samuel Marsh, Yulun Wang, Adam Winick, Ryan Dougherty, Daniel Canuto, You Quan Chong, Michael Hush, Pranav S Mundada, Christopher D B Bentley, Michael J Biercuk, and Yuval Baum · 2024
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Automatic quantum circuit encoding of a given arbitrary quantum state
Tomonori Shirakawa, Hiroshi Ueda, and Seiji Yunoki · 2024
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Exponentially reduced circuit depths using trotter error mitigation
James D Watson and Jacob Watkins · 2024
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Demonstrating bayesian quantum phase estimation with quantum error detection
Kentaro Yamamoto, Samuel Duffield, Yuta Kikuchi, and David Muñoz Ramo · 2024
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