11 June 2014 Quantum walk search factors in the regime of weak measurement
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Abstract
Our previous work brought some interesting results of the discrete Quantum Walks in the regime of Weak Measurement (QWWM or QWWV). Using the knowledge of such results of QWWM, we are now exploring the search algorithms and investigating the factors associated with such walk. The study of such factors like dimensionality, connectivity of the dataset and the strength of disorder or percolation are already studied by others in the context of general quantum walks. It is our interest to show the similarities and/or differences of such factors of general quantum walks with QWWV. The subject of decoherence in quantum walks is another challenging research topic at present. We are also exploring the topic of decoherence in QWWM or QWWV.
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Debabrata Ghoshal, "Quantum walk search factors in the regime of weak measurement", Proc. SPIE 9123, Quantum Information and Computation XII, 91230J (11 June 2014); doi: 10.1117/12.2050932; https://doi.org/10.1117/12.2050932
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