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Karthik Thyagarajan

Publications and source records attributed to Karthik Thyagarajan.

2 recordsLinked to original sources

An Optical Emulation of the BB84 Quantum Key Distribution Protocol

Quantum key distribution (QKD) is an approach to secure communication that uses the principles of quantum mechanics to generate a shared secret key which can be used in encrypting messages. Unlike traditional cryptography, which relies on mathematical problems too computationally difficult for a classical computer to solve, an ideal QKD protocol can be secure even against the capabilities of quantum algorithms. The BB84 protocol, a famous implementation of QKD, uses the polarization states of photons to carry information. We constructed an accessible, fiber-optic-based apparatus that emulates the generation of a key through the BB84 protocol. Although a true demonstration of BB84 would require a single-photon regime, our many-photon system shows the information encoding, transmission, and basis-sifting steps of the protocol. Due to its accessibility and visual clarity, our apparatus is intended as an educational tool that makes each logical step of the protocol visible.

quant-ph↗

A multi-period game-theoretic approach to market fairness in oligopolies

Contemporary process industries are constantly confronted with volatile market conditions that jeopardise their financial sustainability. While mature markets transition to oligopoly structures, the supply chain operation should adapt to a more customer-centric focus. Key issues related to the modelling and impact of the related contractual agreements between firms and customers remain largely unexplored. In the present work, we examine the problem of fair customer allocation in oligopolies under different contractual agreements within a multi-period setting. We consider an ensemble of contract types that vary in terms of pricing mechanisms and duration. The role of fairness is examined following the social welfare and Nash bargaining scheme. In the latter case, the overall problem is formulated as an MINLP. For its efficient solution we employ a piecewise linearisation strategy based on special-ordered sets. The impact of the different fairness schemes on the optimal customer allocation is evaluated via two case studies from the industrial gases market.

math.OC↗