Pratishtha Abrol supervised by Dr. Indranil Chakrabarty received her Master of Science – Dual Degree  in  (LCD). Here’s a summary of her research work on Characterization of Maximal Quantum Secret Reconstruction in a 3-qubit Scenario:

 This thesis is based on a research problem carried out in [1]. The problem statement deals with the identification of a secret sharable state in a three qubit system for which maximum secret reconstruction is possible. We classify this set of states as MSR states. For a given value of maximum of the teleportation fidelities that can be achieved by the bipartite channels of dealer-receiver and dealer-assistant, these states achieve the maximal secret reconstruction fidelity. In other words, it deals with finding a potential resource for secret sharing that maximizes the potential for secret sharing. A tripartite state can be considered a resource for secret sharing if it imposes limits on the teleportation fidelities in both bipartitions involving the dealer while still being useful to reconstruct the secret. Similarly, for a specific maximum value of the Bell-CHSH measurement in the bipartitions specified above, we determine the highest possible reconstruction fidelity. Another interesting discovery is that all secret-sharable states satisfy Bell’s inequality in both dealer reconstructor and dealer-assistant channels. This reveals a novel form of mutual exclusivity between secret-sharable states and violations of Bell’s inequality. This thesis is based on our findings in [1] and it helps to identify the best candidates among secret sharing resource states to achieve maximum reconstruction fidelity, setting a practical limit on information transfer in a resource theoretic extension of secret sharing. Moreover, it highlights a new form of exclusivity between bipartite correlations and the ability to perform secret sharing in a tripartite setting.

May 2025