6533b828fe1ef96bd1289110
RESEARCH PRODUCT
Diagrammatic approach to quantum search
Thomas G. Wongsubject
Quantum PhysicsQuantum particleDegenerate energy levelsFOS: Physical sciencesStatistical and Nonlinear PhysicsQuantum searchGraphTheoretical Computer ScienceElectronic Optical and Magnetic MaterialsDiagrammatic reasoningModeling and SimulationSignal ProcessingStatistical physicsElectrical and Electronic EngineeringQuantum Physics (quant-ph)Subspace topologyMathematicsdescription
We introduce a simple diagrammatic approach for estimating how a randomly walking quantum particle searches on a graph in continuous-time, which involves sketching small weighted graphs with self-loops and considering degenerate perturbation theory's effects on them. Using this method, we give the first example of degenerate perturbation theory solving search on a graph whose evolution occurs in a subspace whose dimension grows with $N$.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-10-27 | Quantum Information Processing |