6533b832fe1ef96bd129ab6c

RESEARCH PRODUCT

Quantum Random Walks – New Method for Designing Quantum Algorithms

Andris Ambainis

subject

Discrete mathematicsTheoretical computer scienceHeterogeneous random walk in one dimensionQuantum annealingTheoryofComputation_GENERALRandom walkMathematics::ProbabilitySearch algorithmComputerSystemsOrganization_MISCELLANEOUSQuantum phase estimation algorithmQuantum algorithmQuantum walkQuantum computerMathematics

description

Quantum walks are quantum counterparts of random walks. In the last 5 years, they have become one of main methods of designing quantum algorithms. Quantum walk based algorithms include element distinctness, spatial search, quantum speedup of Markov chains, evaluation of Boolean formulas and search on "glued trees" graph. In this talk, I will describe the quantum walk method for designing search algorithms and show several of its applications.

https://doi.org/10.1007/978-3-540-77566-9_1