Fetching the paper…
Reading the bibliography…
Harrow, Hassidim, and Lloyd showed that for a suitably specified $N \times N$ matrix $A$ and $N$-dimensional vector $\vec{b}$, there is a quantum algorithm that outputs a quantum state proportional to the solution of the linear system of equations $A\vec{x}=\vec{b}$.
Handbook of Mathematical Functions
Milton Abramowitz and Irene A. Stegun · 1964
Earlier work this paper cites.
Introduction to Approximation Theory
Elliott W. Cheney · 1982
Earlier work this paper cites.
A fast quantum mechanical algorithm for database search
Lov K. Grover · 1996
Earlier work this paper cites.
Quantum algorithms revisited
Richard Cleve, Artur Ekert, Chiara Macchiavello, and Michele Mosca · 1998
Earlier work this paper cites.
Applied Analysis
John K. Hunter and Bruno Nachtergale · 2001
Earlier work this paper cites.
Quantum amplitude amplification and estimation
Gilles Brassard, Peter Høyer, Michele Mosca, and Alain Tapp · 2002
Earlier work this paper cites.
Simulating physical phenomena by quantum networks
Rolando D. Somma, Gerardo Ortiz, James E. Gubernatis, Emanuel Knill, and Raymond Laflamme · 2002
Earlier work this paper cites.
Synthesis of quantum-logic circuits
Vivek V. Shende, Stephen S. Bullock, and Igor L. Markov · 2006
Earlier work this paper cites.
Equation solving by simulation
Andrew M. Childs · 2009
Cited alongside, same era.
Quantum algorithm for linear systems of equations
Aram W. Harrow, Avinatan Hassidim, and Seth Lloyd · 2009
Cited alongside, same era.
On the relationship between continuous- and discrete-time quantum walk
Andrew M. Childs · 2010
Cited alongside, same era.
Variable time amplitude amplification and quantum algorithms for linear algebra problems
Andris Ambainis · 2012
Cited alongside, same era.
Black-box Hamiltonian simulation and unitary implementation
Dominic W. Berry and Andrew M. Childs · 2012
Cited alongside, same era.
Efficient algorithms in quantum query complexity
Robin Kothari · 2014
Later among the works it cites.
Read the fine print
Scott Aaronson · 2015
Closest in time.
Simulating Hamiltonian dynamics with a truncated Taylor series
Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma · 2015
Closest in time.
Hamiltonian simulation with nearly optimal dependence on all parameters
Dominic W. Berry, Andrew M. Childs, and Robin Kothari · 2015
Closest in time.
Review of quantum algorithms for systems of linear equations, 2015
Aram W. Harrow · 2015
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Hamiltonian simulation using linear combinations of unitary operations
Andrew M. Childs and Nathan Wiebe · 2012
Cited alongside, same era.
Faster algorithms via approximation theory
Sushant Sachdeva and Nisheeth K. Vishnoi · 2013
Cited alongside, same era.
Exponential improvement in precision for simulating sparse Hamiltonians
Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma · 2014
Cited alongside, same era.
Ashley Montanaro and Sam Pallister · 2015
Closest in time.
Quantum algorithms for Gibbs sampling and hitting-time estimation
Anirban Narayan Chowdhury and Rolando D. Somma · 2016
Closest in time.
Quantum merlin arthur with exponentially small gap
Bill Fefferman and Cedric Lin · 2016
Closest in time.