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26 January 2021
 
  » arxiv » quant-ph/0506221

 Article overview


Quantum Random Walks without a Coin Toss
Apoorva Patel ; K.S. Raghunathan ; Pranaw Rungta ;
Date 27 Jun 2005
Subject quant-ph
AbstractWe construct a quantum random walk algorithm, based on the Dirac operator instead of the Laplacian. The algorithm explores multiple evolutionary branches by superposition of states, and does not require the coin toss instruction of classical randomised algorithms. We use this algorithm to search for a marked vertex on a hypercubic lattice in arbitrary dimensions. Our numerical and analytical results match the scaling behaviour of earlier algorithms that use a coin toss instruction.
Source arXiv, quant-ph/0506221
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