Negative correlations can play a positive role in disordered quantum walks

preprint2020arXivOpen access

Abstract

We investigate the emerging properties of quantum walks with temporal disorder engineered from a binary Markov chain with tailored correlation, CC, and disorder strength, rr. We show that when the disorder is weak -- r≪1r \ll 1 -- the introduction of negative correlation leads to a counter-intuitive higher production of spin-lattice entanglement entropy, SeS_e, than the setting with positive correlation, that is Se(−∣C∣)>Se(∣C∣)S_e(-|C|)>S_e(|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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