
Highprecision quantum algorithms for partial differential equations
Andrew M. Childs, JinPeng Liu, and Aaron Ostrander

Nearly optimal timeindependent reversal of a spin chain
Aniruddha Bapat, Eddie Schoute, Alexey V. Gorshkov, and Andrew M. Childs

Efficient quantum algorithm for dissipative nonlinear differential equations
JinPeng Liu, Herman Øie Kolden, Hari K. Krovi, Nuno F. Loureiro, Konstantina Trivisa, and Andrew M. Childs

Quantum routing with fast reversals
Aniruddha Bapat, Andrew M. Childs, Alexey V. Gorshkov, Samuel King, Eddie Schoute, and Hrishee Shastri

Quantum query complexity with matrixvector products
Andrew M. Childs, ShihHan Hung, and Tongyang Li

Quantum exploration algorithms for multiarmed bandits
Daochen Wang, Xuchen You, Tongyang Li, and Andrew M. Childs

Theory of Trotter error with commutator scaling
Andrew M. Childs, Yuan Su, Minh C. Tran, Nathan Wiebe, and Shuchen Zhu

Noninteractive classical verification of quantum computation
Gorjan Alagic, Andrew M. Childs, Alex B. Grilo, and ShihHan Hung

Symmetries, graph properties, and quantum speedups
Shalev BenDavid, Andrew M. Childs, András Gilyén, William Kretschmer, Supartha Podder, and Daochen Wang

Signaling and scrambling with strongly longrange interactions
Andrew Y. Guo, Minh C. Tran, Andrew M. Childs, Alexey V. Gorshkov, and ZheXuan Gong

Destructive error interference in productformula lattice simulation
Minh C. Tran, SuKuan Chu, Yuan Su, Andrew M. Childs, and Alexey V. Gorshkov

Timedependent Hamiltonian simulation with L^{1}norm scaling
Dominic W. Berry, Andrew M. Childs, Yuan Su, Xin Wang, and Nathan Wiebe

Quantum coupon collector
Srinivasan Arunachalam, Aleksandrs Belovs, Andrew M. Childs, Robin Kothari, Ansis Rosmanis, and Ronald de Wolf

Quantum spectral methods for differential equations
Andrew M. Childs and JinPeng Liu

Quantum algorithms and lower bounds for convex optimization
Shouvanik Chakrabarti, Andrew M. Childs, Tongyang Li, and Xiaodi Wu

Faster quantum simulation by randomization
Andrew M. Childs, Aaron Ostrander, and Yuan Su

Nearly optimal lattice simulation by product formulas
Andrew M. Childs and Yuan Su

Locality and digital quantum simulation of powerlaw interactions
Minh C. Tran, Andrew Y. Guo, Yuan Su, James R. Garrison, Zachary Eldredge, Michael FossFeig, Andrew M. Childs, and Alexey V. Gorshkov

Circuit transformations for quantum architectures
Andrew M. Childs, Eddie Schoute, and Cem M. Unsal

Toward the first quantum simulation with quantum speedup
Andrew M. Childs, Dmitri Maslov, Yunseong Nam, Neil J. Ross, and Yuan Su

Automated optimization of large quantum circuits with continuous parameters
Yunseong Nam, Neil J. Ross, Yuan Su, Andrew M. Childs, and Dmitri Maslov

Quantum algorithm for multivariate polynomial interpolation
Jianxin Chen, Andrew M. Childs, and ShihHan Hung

Quantum algorithm for systems of linear equations with exponentially improved dependence on precision
Andrew M. Childs, Robin Kothari, and Rolando D. Somma

Quantum algorithm for linear differential equations with exponentially improved dependence on precision
Dominic W. Berry, Andrew M. Childs, Aaron Ostrander, and Guoming Wang

Efficient simulation of sparse Markovian quantum dynamics
Andrew M. Childs and Tongyang Li

Optimal quantum algorithm for polynomial interpolation
Andrew M. Childs, Wim van Dam, ShihHan Hung, and Igor E. Shparlinski

Optimal state discrimination and unstructured search in nonlinear quantum mechanics
Andrew M. Childs and Joshua Young

Complexity of the XY antiferromagnet at fixed magnetization
Andrew M. Childs, David Gosset, and Zak Webb

Hamiltonian simulation with nearly optimal dependence on all parameters
Dominic W. Berry, Andrew M. Childs, and Robin Kothari

Simulating Hamiltonian dynamics with a truncated Taylor series
Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma

Momentum switches
Andrew M. Childs, David Gosset, Daniel Nagaj, Mouktik Raha, and Zak Webb

Quantum computation of discrete logarithms in semigroups
Andrew M. Childs and Gábor Ivanyos

Spatial search by continuoustime quantum walks on crystal lattices
Andrew M. Childs and Yimin Ge

The BoseHubbard model is QMAcomplete
Andrew M. Childs, David Gosset, and Zak Webb

Exponential improvement in precision for simulating sparse Hamiltonians
Dominic W. Berry, Andrew M. Childs, Richard Cleve, Robin Kothari, and Rolando D. Somma

The computational power of matchgates and the XY interaction on arbitrary graphs
Daniel J. Brod and Andrew M. Childs

Interpolatability distinguishes LOCC from separable von Neumann measurements
Andrew M. Childs, Debbie Leung, Laura Mancinska, and Maris Ozols

Constructing elliptic curve isogenies in quantum subexponential time
Andrew M. Childs, David Jao, and Vladimir Soukharev

Product formulas for exponentials of commutators
Andrew M. Childs and Nathan Wiebe

A timeefficient quantum walk for 3distinctness using nested updates
Andrew M. Childs, Stacey Jeffery, Robin Kothari, and Frédéric Magniez

Easy and hard functions for the Boolean hidden shift problem
Andrew M. Childs, Robin Kothari, Maris Ozols, and Martin Roetteler

A framework for bounding nonlocality of state discrimination
Andrew M. Childs, Debbie Leung, Laura Mancinska, and Maris Ozols

Universal computation by multiparticle quantum walk
Andrew M. Childs, David Gosset, and Zak Webb

Levinson’s theorem for graphs II
Andrew M. Childs and David Gosset

Hamiltonian simulation using linear combinations of unitary operations
Andrew M. Childs and Nathan Wiebe

The quantum query complexity of readmany formulas
Andrew M. Childs, Shelby Kimmel, and Robin Kothari

Blackbox Hamiltonian simulation and unitary implementation
Dominic W. Berry and Andrew M. Childs

Levinson’s theorem for graphs
Andrew M. Childs and DJ Strouse

Quantum property testing for boundeddegree graphs
Andris Ambainis, Andrew M. Childs, and YiKai Liu

Quantum query complexity of minorclosed graph properties
Andrew M. Childs and Robin Kothari

Simulating sparse Hamiltonians with star decompositions
Andrew M. Childs and Robin Kothari

Characterization of universal twoqubit Hamiltonians
Andrew M. Childs, Debbie Leung, Laura Mancinska, and Maris Ozols

Limitations on the simulation of nonsparse Hamiltonians
Andrew M. Childs and Robin Kothari

The quantum query complexity of certification
Andris Ambainis, Andrew M. Childs, François Le Gall, and Seiichiro Tani

On the relationship between continuous and discretetime quantum walk
Andrew M. Childs

Discretequery quantum algorithm for NAND trees
Andrew M. Childs, Richard Cleve, Stephen P. Jordan, and David YongeMallo

Universal computation by quantum walk
Andrew M. Childs

Quantum algorithms for algebraic problems
Andrew M. Childs and Wim van Dam

Optimal quantum adversary lower bounds for ordered search
Andrew M. Childs and Troy Lee

Quantum algorithms for hidden nonlinear structures
Andrew M. Childs, Leonard J. Schulman, and Umesh V. Vazirani

Any ANDOR formula of size N can be evaluated in time N^{1/2+o(1)} on a quantum computer
Andris Ambainis, Andrew M. Childs, Ben W. Reichardt, Robert Špalek, and Shengyu Zhang

Improved quantum algorithms for the ordered search problem via semidefinite programming
Andrew M. Childs, Andrew J. Landahl, and Pablo A. Parrilo

On the quantum hardness of solving isomorphism problems as nonabelian hidden shift problems
Andrew M. Childs and Pawel Wocjan

Weak FourierSchur sampling, the hidden subgroup problem, and the quantum collision problem
Andrew M. Childs, Aram W. Harrow, and Pawel Wocjan

Quantum algorithm for a generalized hidden shift problem
Andrew M. Childs and Wim van Dam

The limitations of nice mutually unbiased bases
Michael Aschbacher, Andrew M. Childs, and Pawel Wocjan

Optimal measurements for the dihedral hidden subgroup
problem
Dave Bacon, Andrew M. Childs, and Wim van Dam

Twoway quantum communication channels
Andrew M. Childs, Debbie W. Leung, and H.K. Lo

Quantum algorithms for subset finding
Andrew M. Childs and Jason M. Eisenberg

From optimal measurement to efficient quantum algorithms for the
hidden subgroup problem over semidirect product groups
Dave Bacon, Andrew M. Childs, and Wim van Dam

Secure assisted quantum computation
Andrew M. Childs

Unified derivations of measurementbased schemes for quantum
computation
Andrew M. Childs, Debbie W. Leung, and Michael A. Nielsen

Spatial search and the Dirac equation
Andrew M. Childs and Jeffrey Goldstone

Spatial search by quantum walk
Andrew M. Childs and Jeffrey Goldstone

Reversible simulation of bipartite product Hamiltonians
Andrew M. Childs, Debbie W. Leung, and Guifre Vidal

Lower bounds on the complexity of simulating quantum gates
Andrew M. Childs, Henry L. Haselgrove, and Michael A. Nielsen

Exponential algorithmic speedup by quantum walk
Andrew M. Childs, Richard Cleve, Enrico Deotto, Edward Farhi, Sam Gutmann, and Daniel A. Spielman

Asymptotic entanglement capacity of the Ising and anisotropic
Heisenberg interactions
Andrew M. Childs, Debbie W. Leung, Frank Verstraete, and Guifre Vidal

Quantum search by measurement
Andrew M. Childs, Enrico Deotto, Edward Farhi, Jeffrey Goldstone, Sam Gutmann, and Andrew J. Landahl

Universal simulation of Hamiltonian dynamics for quantum systems with
finitedimensional state spaces
Michael A. Nielsen, Michael J. Bremner, Jennifer L. Dodd, Andrew M. Childs, and Christopher M. Dawson

An example of the difference between quantum and classical random
walks
Andrew M. Childs, Edward Farhi, and Sam Gutmann

Finding cliques by quantum adiabatic evolution
Andrew M. Childs, Edward Farhi, Jeffrey Goldstone, and Sam Gutmann

Robustness of adiabatic quantum computation
Andrew M. Childs, Edward Farhi, and John Preskill

Universal simulation of Markovian quantum dynamics
Dave Bacon, Andrew M. Childs, Isaac L. Chuang, Julia Kempe, Debbie Leung, and Xinlan Zhou

Realization of quantum process tomography in NMR
Andrew M. Childs, Isaac L. Chuang, and Debbie W. Leung

Exact sampling from nonattractive distributions using summary states
Andrew M. Childs, Ryan B. Patterson, and David J. C. MacKay

Universal quantum computation with twolevel trapped ions
Andrew M. Childs and Isaac L. Chuang

Quantum information and precision measurement
Andrew M. Childs, John Preskill, and Joseph Renes

A model for MeV C_{n} track damage in YIG
Thomas A. Tombrello, Andrew M. Childs, and John W. Hartman

Simulation of keV clusters incident on gold targets
Andrew M. Childs, Mark H. Shapiro, and Thomas A. Tombrello