Person: Mulherkar, Jaideep
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Jaideep Mulherkar
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Publication Metadata only Implementation of quantum hitting times of cubelike graphs on IBM's Qiskit platform(World Scientific, 01-10-2022) Mulherkar, Jaideep; Rajdeepak, Rishikant; V, Sunitha; DA-IICT, Gandhinagar; Rajdeepak, Rishikant (201521006)In this paper, we give a procedure to construct quantum circuits for implementing discrete-time quantum walks on a family of Cayley graphs called cubelike graphs. We construct these circuits on IBM�s Qiskit platform and demonstrate an implementation of the quantum hitting times on cubelike graphs. Based on our numerical study, we conjecture that for all families of cubelike graphs there is a linear relationship between the degree of a cubelike graph and its hitting time which holds asymptotically. This conjecture, if proved, will generalize the result of hitting times of discrete-time quantum walks on hypercubes to general family of cubelike graphs.Publication Metadata only Capacity of a quantum memory channel correlated by matrix product states(Springer, 2018-04-01) Mulherkar, Jaideep; V, Sunitha; DA-IICT, GandhinagarWe study the capacity of a quantum channel where channel acts like controlled phase gate with the control being provided by a one-dimensional quantum spin chain environment. Due to the correlations in the spin chain, we get a quantum channel with memory. We derive formulas for the quantum capacity of this channel when the spin state is a matrix product state. Particularly, we derive exact formulas for the capacity of the quantum memory channel when the environment state is the ground state of the AKLT model and the Majumdar�Ghosh model. We find that the behavior of the capacity for the range of the parameters is analytic.