Hamiltonian Simulation in the Interaction Picture

Dorit Aharonov and Amnon Ta-Shma, “Adiabatic Quantum State Generation and Statistical Zero Knowledge,” in Proceedings of the Thirty-fifth Annual ACM Symposium on Theory of Computing , STOC ’03 (ACM, New York, NY, USA, 2003) pp. 20–29

2003

Earlier work this paper cites.

Steven A Cuccaro, Thomas G Draper, Samuel A Kutin, and David Petrie Moulton, “A new quantum ripple-carry addition circuit,” arXiv preprint quant-ph/0410184 (2004) , arXiv:0410184

2004

Earlier work this paper cites.

Vivek V Shende, Stephen S Bullock, and Igor L Markov, “Synthesis of quantum-logic circuits,” IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 25

2006

Earlier work this paper cites.

Dominic W Berry, Graeme Ahokas, Richard Cleve, and Barry C Sanders, “Efficient Quantum Algorithms for Simulating Sparse Hamiltonians,” Commun. Math. Phys. 270

2007

Earlier work this paper cites.

Nathan Wiebe, Dominic Berry, Peter Høyer, and Barry C Sanders, “Higher order decompositions of ordered operator exponentials,” Journal of Physics A: Mathematical and Theoretical 43

2010

Earlier work this paper cites.

James D Whitfield, Jacob Biamonte, and Alán Aspuru-Guzik, “Simulation of electronic structure Hamiltonians using quantum computers,” Molecular Physics 109

2011

Earlier work this paper cites.

Andrew M Childs and Nathan Wiebe, “Hamiltonian Simulation Using Linear Combinations of Unitary Operations,” Quantum Information & Computation 12

2012

Earlier work this paper cites.

Dominic W Berry and Andrew M Childs, “Black-box Hamiltonian Simulation and Unitary Implementation,” Quantum Info. Comput. 12

2012

Cited alongside, same era.

Dominic W Berry, Andrew M Childs, Richard Cleve, Robin Kothari, and Rolando D Somma, “Exponential improvement in precision for simulating sparse Hamiltonians,” in Proceedings of the 46th Annual ACM Symposium on Theory of Computing - STOC ’14 , STOC ’14 (ACM Press, New York, New York, USA, 2014) pp. 283–292

2014

Cited alongside, same era.

Andrew J Ferris, “Fourier Transform for Fermionic Systems and the Spectral Tensor Network,” Phys. Rev. Lett. 113

2014

Cited alongside, same era.

Dominic W Berry, Andrew M Childs, and Robin Kothari, “Hamiltonian Simulation with Nearly Optimal Dependence on all Parameters,” in 2015 IEEE 56th Annual Symposium on Foundations of Computer Science , FOCS ’15 (IEEE, Washington, DC, USA, 2015) pp. 792–809

2015

Cited alongside, same era.

Leonardo Novo and Dominic W Berry, “Improved Hamiltonian simulation via a truncated Taylor series and corrections,” Quantum Info. Comput. 17

2017

Later among the works it cites.

Ryan Babbush, Nathan Wiebe, Jarrod McClean, James McClain, Hartmut Neven, and Garnet Kin-Lic Chan, “Low-depth quantum simulation of materials,” Phys. Rev. X 8

2018

Closest in time.

Jeongwan Haah, Matthew B Hastings, Robin Kothari, and Guang Hao Low, “Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians,” 2018 IEEE 59th Annual Symposium on Foundations of Computer Science (FOCS) FOCS ’18, 350–360 (2018)

2018

Closest in time.

Andrew M Childs, Dmitri Maslov, Yunseong Nam, Neil J Ross, and Yuan Su, “Toward the first quantum simulation with quantum speedup,” Proceedings of the National Academy of Sciences 115

2018

Closest in time.