Rafael Vieira, Edgard P. M. Amorim, Gustavo Rigolin
We show that the entanglement between the internal (spin) and external (position) degrees of freedom of a qubit in a random (disordered) one-dimensional discrete time quantum random walk (QRW) achieves its maximal possible value asymptotically in the number of steps, outperforming the entanglement attained using ordered QRW. The disorder is modeled by introducing an extra random aspect to QRW, a classical coin that randomly dictates which quantum coin drives the system's time evolution. We also show that maximal entanglement is achieved independent of the initial state of the walker, study the number of steps the system must move to get infinitesimally close to its asymptotic limit, and propose two experiments where these ideas can be tested.
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http://arxiv.org/abs/1305.4191
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