Physical Review Letters · 2012 · 181 citations · 20 references
ComputingComputer SciencePhysicsAlgorithmsQuantum ComputingQuantum MechanicsAdiabatic Quantum ComputingComputational ComplexityComputational Quantum MechanicsQuantum AlgorithmsQuantum AnnealingQuantum ComputationAdiabatic Algorithm DesignAdiabatic Quantum ComputationAnnealingAnnealing Schedule DesignEnergy Gap AnalysisQuantum SpeedupRandomization
Let's collect: Purpose sentences: lines with [Purpose] and [Purpose, Mechanism] and [Purpose, Mechanism] again. So content: - "We study the glued-trees problem of Childs et al." (first line) - "in the adiabatic model of quantum computing and provide an annealing schedule to solve an oracular problem exponentially faster than classically possible." (third line) - "We discuss generalizations based on initial-state randomization to avoid some slowdowns in adiabatic quantum computing due to small gaps." (fifth line) Combine into one sentence: "The authors study the glued‑trees problem in the adiabatic model of quantum computing, provide an annealing schedule that solves an oracle problem exponentially faster than classically, and discuss generalizations using initial‑state randomization to mitigate small‑gap slowdowns." Mechanism sentences: lines with [Mechanism] and [Purpose, Mechanism] and [Purpose, Mechanism] again. So content: - "in the adiabatic model of quantum computing and provide an annealing schedule to solve an oracular problem exponentially faster than classically possible." (third line) - "The Hamiltonians involved in the quantum annealing do not suffer from the so-called sign problem." (fourth line) - "We discuss generalizations based on initial-state randomization to avoid some slowdowns in adiabatic quantum computing due to small gaps." (fifth line) Combine: "The study uses quantum annealing with Hamiltonians that avoid the sign problem, provides an annealing schedule for an oracle problem, and explores initial‑state randomization to reduce slowdowns from small gaps." Findings: line with [Findings]: "Unlike the typical scenario, our schedule is efficient even though the minimum energy gap of the Hamiltonians is exponentially small in the problem size." So sentence: "The annealing schedule remains efficient despite an exponentially small minimum energy gap, contrary to typical expectations." Other: line with [Other] "al." Wait the line is "[Other] al." That seems incomplete. The content is just "al." That seems like a truncated part of the first line?
We study the glued-trees problem of Childs et. al. in the adiabatic model of quantum computing and provide an annealing schedule to solve an oracular problem exponentially faster than classically possible. The Hamiltonians involved in the quantum annealing do not suffer from the so-called sign problem. Unlike the typical scenario, our schedule is efficient even though the minimum energy gap of the Hamiltonians is exponentially small in the problem size. We discuss generalizations based on initial-state randomization to avoid some slowdowns in adiabatic quantum computing due to small gaps.
20
A Quantum Adiabatic Evolution Algorithm Applied to Random Instances of an NP-Complete Problem
Edward Farhi, Jeffrey Goldstone, Sam Gutmann et al. · Science · 2001 · 2.1K citations · Full text
Computing, Computer Science, Physics +15
Theory of Quantum Annealing of an Ising Spin Glass
Giuseppe E. Santoro, Roman Martoňák, Erio Tosatti et al. · Science · 2002 · 736 citations · Full text