Negative correlations can play a positive role in disordered quantum walks

Abstract

We investigate the emerging properties of quantum walks with temporal disorder engineered from a binary Markov chain with tailored correlation, C, and disorder strength, r. We show that when the disorder is weak -- r 1 -- the introduction of negative correlation leads to a counter-intuitive higher production of spin-lattice entanglement entropy, Se, than the setting with positive correlation, that is Se(-|C|)>Se(|C|). These results show that negatively correlated disorder plays a more important role in quantum entanglement than it has been assumed in the literature.

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