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Quantum direct communication protocol using recurrence in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>k</mml:mi></mml:math> -cycle quantum walks
The ability of quantum walks to evolve in a superposition of distinct quantum states has been used as a resource in quantum communication protocols. Under certain settings, the $k$-cycle discrete-time quantum walks (DTQW) are known to recur to its initial state after every ${t}_{r}$ steps. We first present a scheme …