Simulating physics with computers
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June 1982 |
Universal Quantum Simulators
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August 1996 |
Adiabatic quantum state generation and statistical zero knowledge
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January 2003 |
Efficient Quantum Algorithms for Simulating Sparse Hamiltonians
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journal
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December 2006 |
Exponential improvement in precision for simulating sparse Hamiltonians
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conference
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January 2014 |
Hamiltonian Simulation with Nearly Optimal Dependence on all Parameters
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conference
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October 2015 |
Optimal Hamiltonian Simulation by Quantum Signal Processing
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journal
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January 2017 |
Hamiltonian simulation with nearly optimal dependence on spectral norm
- Low, Guang Hao
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STOC '19: 51st Annual ACM SIGACT Symposium on the Theory of Computing, Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing
https://doi.org/10.1145/3313276.3316386
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conference
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June 2019 |
Vol.15 No.5&6
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January 2015 |
Low-Depth Quantum Simulation of Materials
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March 2018 |
Quantum computational chemistry
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March 2020 |
Quantum Algorithms for Quantum Field Theories
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May 2012 |
Towards quantum chemistry on a quantum computer
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January 2010 |
Quantum Chemistry in the Age of Quantum Computing
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August 2019 |
Quantum Algorithm for Linear Systems of Equations
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October 2009 |
Quantum Speed-Ups for Solving Semidefinite Programs
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October 2017 |
A Quantum Algorithm for the Hamiltonian NAND Tree
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December 2008 |
Exponential algorithmic speedup by a quantum walk
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January 2003 |
High-order quantum algorithm for solving linear differential equations
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February 2014 |
General theory of fractal path integrals with applications to many‐body theories and statistical physics
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February 1991 |
A Concise Introduction to Geometric Numerical Integration
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July 2016 |
Simulating Hamiltonian Dynamics with a Truncated Taylor Series
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Hamiltonian Simulation by Qubitization
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journal
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July 2019 |
Divide and conquer approach to quantum Hamiltonian simulation
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April 2018 |
Faster quantum simulation by randomization
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journal
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September 2019 |
Compilation by stochastic Hamiltonian sparsification
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journal
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February 2020 |
Random Compiler for Fast Hamiltonian Simulation
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journal
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August 2019 |
Toward the first quantum simulation with quantum speedup
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journal
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September 2018 |
Elucidating reaction mechanisms on quantum computers
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journal
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July 2017 |
Chemical basis of Trotter-Suzuki errors in quantum chemistry simulation
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journal
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February 2015 |
Solving strongly correlated electron models on a quantum computer
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journal
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December 2015 |
Nearly Optimal Lattice Simulation by Product Formulas
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journal
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August 2019 |
Polynomial-Time Classical Simulation of Quantum Ferromagnets
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journal
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September 2017 |
Decomposition formulas of exponential operators and Lie exponentials with some applications to quantum mechanics and statistical physics
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journal
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April 1985 |
Product formula methods for time-dependent Schrodinger problems
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December 1990 |
An exact local error representation of exponential operator splitting methods for evolutionary problems and applications to linear Schrödinger equations in the semi-classical regime
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September 2010 |
Improved Fault-Tolerant Quantum Simulation of Condensed-Phase Correlated Electrons via Trotterization
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journal
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July 2020 |
A Trotter-Suzuki approximation for Lie groups with applications to Hamiltonian simulation
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journal
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June 2016 |
High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
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January 2008 |
Error Bounds for Exponential Operator Splittings
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journal
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December 2000 |
Convergence Analysis of High-Order Time-Splitting Pseudospectral Methods for Nonlinear Schrödinger Equations
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January 2012 |
Splitting methods
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January 2002 |
On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods
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January 1995 |
Geometric Numerical Integration
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book
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January 2002 |
Locality and Digital Quantum Simulation of Power-Law Interactions
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July 2019 |
Simulating Large Quantum Circuits on a Small Quantum Computer
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October 2020 |
Matrix Analysis
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book
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April 2013 |
Higher order decompositions of ordered operator exponentials
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January 2010 |
Local error structures and order conditions in terms of Lie elements for exponential splitting schemes
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journal
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January 2014 |
Defect-based local error estimators for splitting methods, with application to Schrödinger equations, Part II. Higher-order methods for linear problems
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journal
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January 2014 |
Encoding Electronic Spectra in Quantum Circuits with Linear T Complexity
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October 2018 |
Fourier Transform for Fermionic Systems and the Spectral Tensor Network
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July 2014 |
The finite group velocity of quantum spin systems
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September 1972 |
Spectral Gap and Exponential Decay of Correlations
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April 2006 |
Propagation of Correlations in Quantum Lattice Systems
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July 2006 |
Lieb-Robinson Bounds and the Exponential Clustering Theorem
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journal
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March 2006 |
Persistence of Locality in Systems with Power-Law Interactions
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journal
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July 2014 |
Nearly Linear Light Cones in Long-Range Interacting Quantum Systems
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journal
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April 2015 |
Interplay of soundcone and supersonic propagation in lattice models with power law interactions
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journal
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June 2015 |
Finite Speed of Quantum Scrambling with Long Range Interactions
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journal
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December 2019 |
Quantum Algorithm for Simulating Real Time Evolution of Lattice Hamiltonians
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conference
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October 2018 |
Strictly Linear Light Cones in Long-Range Interacting Systems of Arbitrary Dimensions
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journal
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July 2020 |
Many-body localization edge in the random-field Heisenberg chain
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journal
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February 2015 |
Fast-forwarding of Hamiltonians and exponentially precise measurements
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journal
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November 2017 |
Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
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journal
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March 2018 |
Quantum Simulation of Time-Dependent Hamiltonians and the Convenient Illusion of Hilbert Space
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journal
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April 2011 |
Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series
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April 2019 |
Time-dependent Hamiltonian simulation with -norm scaling
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journal
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April 2020 |
Quantum localization bounds Trotter errors in digital quantum simulation
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journal
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April 2019 |
Digital quantum simulation, Trotter errors, and quantum chaos of the kicked top
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journal
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September 2019 |
Error-Mitigated Digital Quantum Simulation
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journal
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May 2019 |
Molecular Electronic-Structure Theory
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book
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August 2000 |
Relative Perturbation Techniques for Singular Value Problems
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December 1995 |
Relative perturbation results for matrix eigenvalues and singular values
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January 1998 |