Improved techniques for preparing eigenstates of fermionic Hamiltonians

[1]  Yudong Cao,et al.  OpenFermion: the electronic structure package for quantum computers , 2017, Quantum Science and Technology.

[2]  I. Chuang,et al.  Hamiltonian Simulation by Qubitization , 2016, Quantum.

[3]  H. Neven,et al.  Low-Depth Quantum Simulation of Materials , 2018 .

[4]  Alán Aspuru-Guzik,et al.  Quantum Simulation of Electronic Structure with Linear Depth and Connectivity. , 2017, Physical review letters.

[5]  Stephanie Wehner,et al.  Lowering qubit requirements for quantum simulations of fermionic systems. , 2017, 1712.07067.

[6]  Kevin J. Sung,et al.  Quantum algorithms to simulate many-body physics of correlated fermions. , 2017, 1711.05395.

[7]  Xiao Wang,et al.  Psi4 1.1: An Open-Source Electronic Structure Program Emphasizing Automation, Advanced Libraries, and Interoperability. , 2017, Journal of chemical theory and computation.

[8]  F K Wilhelm,et al.  Linear and Logarithmic Time Compositions of Quantum Many-Body Operators. , 2017, Physical review letters.

[9]  Masoud Mohseni,et al.  Commercialize quantum technologies in five years , 2017, Nature.

[10]  J. Gambetta,et al.  Tapering off qubits to simulate fermionic Hamiltonians , 2017, 1701.08213.

[11]  Matthias Troyer,et al.  Operator locality in the quantum simulation of fermionic models , 2017, 1701.07072.

[12]  I. Chuang,et al.  Optimal Hamiltonian Simulation by Quantum Signal Processing. , 2016, Physical review letters.

[13]  M. Troyer,et al.  Elucidating reaction mechanisms on quantum computers , 2016, Proceedings of the National Academy of Sciences.

[14]  Andrew M. Childs,et al.  Exponential improvement in precision for simulating sparse Hamiltonians , 2013, Forum of Mathematics, Sigma.

[15]  Nathan Wiebe,et al.  Bounding the costs of quantum simulation of many-body physics in real space , 2016, 1608.05696.

[16]  Daisuke Shiomi,et al.  Quantum Chemistry on Quantum Computers: A Polynomial-Time Quantum Algorithm for Constructing the Wave Functions of Open-Shell Molecules. , 2016, The journal of physical chemistry. A.

[17]  Matthew B. Hastings,et al.  Hybrid quantum-classical approach to correlated materials , 2015, 1510.03859.

[18]  Sarah E. Sofia,et al.  The Bravyi-Kitaev transformation: Properties and applications , 2015 .

[19]  Ryan Babbush,et al.  Exponentially more precise quantum simulation of fermions in the configuration interaction representation , 2015, 1506.01029.

[20]  Annie Y. Wei,et al.  Exponentially more precise quantum simulation of fermions in second quantization , 2015, 1506.01020.

[21]  Andrew M. Childs,et al.  Simulating Hamiltonian dynamics with a truncated Taylor series. , 2014, Physical review letters.

[22]  David Poulin,et al.  The Trotter step size required for accurate quantum simulation of quantum chemistry , 2014, Quantum Inf. Comput..

[23]  Matthew B. Hastings,et al.  Improving quantum algorithms for quantum chemistry , 2014, Quantum Inf. Comput..

[24]  Leonie Mueck,et al.  Quantum reform. , 2015, Nature chemistry.

[25]  Alán Aspuru-Guzik,et al.  Exploiting Locality in Quantum Computation for Quantum Chemistry. , 2014, The journal of physical chemistry letters.

[26]  Michael T. Goodrich,et al.  Zig-zag sort: a simple deterministic data-oblivious sorting algorithm running in O(n log n) time , 2014, STOC.

[27]  J. Pittner,et al.  Adiabatic state preparation study of methylene. , 2014, The Journal of chemical physics.

[28]  Peter J. Love,et al.  Quantum Algorithms for Quantum Chemistry based on the sparsity of the CI-matrix , 2013, 1312.2579.

[29]  A. Harrow,et al.  Efficient distributed quantum computing , 2012, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[30]  P. Love,et al.  The Bravyi-Kitaev transformation for quantum computation of electronic structure. , 2012, The Journal of chemical physics.

[31]  M. Mariantoni,et al.  Surface codes: Towards practical large-scale quantum computation , 2012, 1208.0928.

[32]  Andrew M. Childs,et al.  Black-box hamiltonian simulation and unitary implementation , 2009, Quantum Inf. Comput..

[33]  Tosio Kato,et al.  On the Eigenfunctions of Many-Particle Systems in Quantum Mechanics , 2011 .

[34]  J. Whitfield,et al.  Simulation of electronic structure Hamiltonians using quantum computers , 2010, 1001.3855.

[35]  Andrew M. Childs On the Relationship Between Continuous- and Discrete-Time Quantum Walk , 2008, 0810.0312.

[36]  Alán Aspuru-Guzik,et al.  Quantum algorithm for obtaining the energy spectrum of molecular systems. , 2008, Physical chemistry chemical physics : PCCP.

[37]  I. Kassal,et al.  Polynomial-time quantum algorithm for the simulation of chemical dynamics , 2008, Proceedings of the National Academy of Sciences.

[38]  D. Berry,et al.  Entanglement-free Heisenberg-limited phase estimation , 2007, Nature.

[39]  R. Cleve,et al.  Efficient Quantum Algorithms for Simulating Sparse Hamiltonians , 2005, quant-ph/0508139.

[40]  Sheng-Tzong Cheng,et al.  Quantum switching and quantum merge sorting , 2006, IEEE Trans. Circuits Syst. I Regul. Pap..

[41]  M. Head‐Gordon,et al.  Simulated Quantum Computation of Molecular Energies , 2005, Science.

[42]  Mike Paterson,et al.  Improved sorting networks withO(logN) depth , 1990, Algorithmica.

[43]  D. Aharonov,et al.  Adiabatic quantum state generation and statistical zero knowledge , 2003, STOC '03.

[44]  E. Knill,et al.  Simulating physical phenomena by quantum networks , 2001, quant-ph/0108146.

[45]  Umesh V. Vazirani,et al.  Quantum Algorithms , 2001, LATIN.

[46]  E. Knill,et al.  Quantum algorithms for fermionic simulations , 2000, cond-mat/0012334.

[47]  S. Lloyd,et al.  Quantum Algorithm Providing Exponential Speed Increase for Finding Eigenvalues and Eigenvectors , 1998, quant-ph/9807070.

[48]  B. Boghosian,et al.  Simulating quantum mechanics on a quantum computer , 1997, quant-ph/9701019.

[49]  D. Abrams,et al.  Simulation of Many-Body Fermi Systems on a Universal Quantum Computer , 1997, quant-ph/9703054.

[50]  A. U.S.,et al.  Simulating Quantum Mechanics on a Quantum Computer ∗ , 1997 .

[51]  Christof Zalka,et al.  Efficient Simulation of Quantum Systems by Quantum Computers , 1996, quant-ph/9603026.

[52]  Alexei Y. Kitaev,et al.  Quantum measurements and the Abelian Stabilizer Problem , 1995, Electron. Colloquium Comput. Complex..

[53]  Kenneth E. Batcher,et al.  A Generalized Bitonic Sorting Network , 1993, 1993 International Conference on Parallel Processing - ICPP'93.

[54]  János Komlós,et al.  An 0(n log n) sorting network , 1983, STOC.

[55]  Kenneth E. Batcher,et al.  Sorting networks and their applications , 1968, AFIPS Spring Joint Computing Conference.