Equal Superposition Transformations and Quantum Random Walks

Details Equal Superposition Transformations and Quantum Random Walks Equal Superposition Transformations and Quantum Random Walks

2007-09-21

arxiv.org/abs/0709.3406v1

Physics

Quantum Physics

17 pages, Latex, no figures

Scientific paper

The largest ensemble of qubits which satisfy the general transformation of equal superposition is obtained by different methods, namely, linearity, no-superluminal signalling and non-increase of entanglement under LOCC. We also consider the associated quantum random walk and show that all unitary balanced coins give the same asymmetric spatial probability distribution. It is further illustrated that unbalanced coins, upon appropriate superposition, lead to new unbiased walks which have no classical analogues.

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