Browsing by Author "Bhogan, Vinayak"

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    Provability of Security and E ciency of Quantum Key Distribution (QKD) Algorithms
    (Indian Statistical Institute, Kolkata, 2019-06) Bhogan, Vinayak
    With recent developments in quantum communications, much of the focus has been put on development of di erent Quantum Key Distribution(QKD) protocols that can successfully generate a symmetric key over insecure quan- tum channel. In this thesis, I have discussed in-depth security proof of a well known secure protocol named as BB84 protocol. This simple version of proof was rst pro- posed by Shor and Preskill[1], in year 2000. It involves two step derivation of BB84 protocol from a 'Lo-Chau' protocol, which has already been proven secure. I shall provide proof of exponentially lower bounds on mutual infor- mation shared between sender/receiver and an adversary, therfore proving its security. Along with it, I have also introduced another varient of Lo-Chau protocol which is more e cient in terms of shared resources, i.e. it uses almost 50% lesser quantum states exchanged over channel. I shall also prove it to be secure using the same technique used for BB84. iii