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Quantum Algorithmic Engineering with Photonic Integrated Circuits

Electronic Theses of Indian Institute of Science

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Field Value
 
Title Quantum Algorithmic Engineering with Photonic Integrated Circuits
 
Creator Kallol, Roy
 
Subject Integrated Quantum Photonics
Quantum Algorithms
Photonic Integrated Circuits
Quantum Stochasic Walk
Photonic Waveguide Lattice
Quantum Cryptography
Quantum PageRank Algorithm
Quantum Walk Based Open Graph Search
Facebook Open Graph Search
Quantum Walk on Graph
Quantum Algorithm Encoding
Kolmogorov Complexity
Google Quantum PageRank
Photonic Lattice
Quantum Decoherence
Quantum Circuits
Electronic Engineering
 
Description Integrated quantum photonics show monolithic waveguide chips to be a promising platform for realizing the next generation of quantum optical circuits. This work proposes the implementation of quantum page Rank algorithm on a photonic waveguide lattice. Our contributions are as follows: Continuous-time quantum stochastic walk(QSW)-an alternate paradigm of quantum computing, is a hybrid quantum walk that incorporates both unitary and non-unitary effects. We propose the use of QSW which necessitates the hopping of the quantum crawler on a directed graph, for the quantum page Rank problem. We propose the implementation of quantum page Rank on a photonic waveguide lattice, where we allow the density matrix to evolve according to the Lindblad-Kossakowski master equation, the diagonal of which gives the quantum page Rank. We have also shown the use of the metric of positional Kolmogorov Complexity as an efficient tool for determining whether or not the quantum channel has been compromised. We appositionally encode multi-photon decoy pulses within the stream of single photon pulses. This positional encoding is chosen in such a way as to have low Kolmogorov complexity. The PNS attack on the multi-photon decoy pulses causes a dip in the ratio of the transmittance of the decoy pulses to the signal pulses in the conventional analysis.
 
Contributor Srinivas, T
 
Date 2018-04-24T11:42:31Z
2018-04-24T11:42:31Z
2018-04-24
2013
 
Type Thesis
 
Identifier http://etd.iisc.ernet.in/2005/3451
http://etd.iisc.ernet.in/abstracts/4318/G25976-Abs.pdf
 
Language en_US
 
Relation G25976