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25,402
Quantum Computation by Adiabatic Evolution
, 2000
"... We give a quantum algorithm for solving instances of the satisfiability problem, based on adiabatic evolution. The evolution of the quantum state is governed by a timedependent Hamiltonian that interpolates between an initial Hamiltonian, whose ground state is easy to construct, and a final Hamil ..."
Abstract

Cited by 85 (8 self)
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We give a quantum algorithm for solving instances of the satisfiability problem, based on adiabatic evolution. The evolution of the quantum state is governed by a timedependent Hamiltonian that interpolates between an initial Hamiltonian, whose ground state is easy to construct, and a final
Entanglement and Adiabatic Quantum Computation
, 2008
"... Adiabatic quantum computation provides an alternative approach to quantum computation using a timedependent Hamiltonian. The time evolution of entanglement during the adiabatic quantum search algorithm is studied, and its relevance as a resource is discussed. PACS Nos.: 03.67.a, 03.67.Lx, and 03.6 ..."
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Adiabatic quantum computation provides an alternative approach to quantum computation using a timedependent Hamiltonian. The time evolution of entanglement during the adiabatic quantum search algorithm is studied, and its relevance as a resource is discussed. PACS Nos.: 03.67.a, 03.67.Lx, and 03
Adiabatic Quantum Computing: An Overview
, 2012
"... Quantum computations can be implemented not only by the action of quantum circuits, but by the adiabatic evolution of a system’s Hamiltonian. This can be done by initializing the system into the ground state of a simple Hamiltonian, and then adiabatically evolving the Hamiltonian to one whose ground ..."
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Quantum computations can be implemented not only by the action of quantum circuits, but by the adiabatic evolution of a system’s Hamiltonian. This can be done by initializing the system into the ground state of a simple Hamiltonian, and then adiabatically evolving the Hamiltonian to one whose
Adiabatic Quantum Computation and Simulation
, 2005
"... Adiabatic quantum computation came into the spotlight of quantum information processing researchers several years ago. The idea suggested an alternative approach to quantum computing which can be shown to be equivalent to the ..."
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Adiabatic quantum computation came into the spotlight of quantum information processing researchers several years ago. The idea suggested an alternative approach to quantum computing which can be shown to be equivalent to the
Adiabatic quantum computation is equivalent to standard quantum computation
 SIAM Journal on Computing
"... Adiabatic quantum computation has recently attracted attention in the physics and computer science communities, but its computational power was unknown. We describe an efficient adiabatic simulation of any given quantum algorithm, which implies that the adiabatic computation model and the convention ..."
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Cited by 80 (12 self)
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Adiabatic quantum computation has recently attracted attention in the physics and computer science communities, but its computational power was unknown. We describe an efficient adiabatic simulation of any given quantum algorithm, which implies that the adiabatic computation model
Volume of Fluid (VOF) Method for the Dynamics of Free Boundaries,” Los Alamos Scientific Laboratory report
"... Several methods have been previously used to approximate free boundaries in tinitedifference numerical simulations. A simple, but powerful, method is described that is based on the concept of a fractional volume of fluid (VOF). This method is shown to be more flexible and efftcient than other method ..."
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Cited by 544 (2 self)
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Several methods have been previously used to approximate free boundaries in tinitedifference numerical simulations. A simple, but powerful, method is described that is based on the concept of a fractional volume of fluid (VOF). This method is shown to be more flexible and efftcient than other methods for treating complicated free boundary configurations. To illustrate the method, a description is given for an incompressible hydrodynamics code, SOLAVOF, that uses the VOF technique to track free fluid surfaces. 1.
How Powerful is Adiabatic Quantum Computation?
, 2008
"... We analyze the computational power and limitations of the recently proposed ‘quantum adiabatic evolution algorithm’. 1 ..."
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We analyze the computational power and limitations of the recently proposed ‘quantum adiabatic evolution algorithm’. 1
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