Temporal self-similarity of quantum dynamical maps as a concept of memorylessness
Document Type
Article
Publication Title
Scientific Reports
Abstract
The problem of defining quantum non-Markovianity has proven elusive, with various in-equivalent criteria put forth to address it. The concept of CP-indivisibility and the hierarchy of stronger divisibility criteria going up to P-indivisibility, capture a fundamental aspect of memory in quantum non-Markovianity. In practice, however, there can be a memory-like influence associated with divisible channels in the form of weakening, if not reversing, the effects of decoherence. Arguably, such a facet of memory relates to CP-indivisibility as quantum discord relates to entanglement. We concretize this weaker notion of non-Markovianity by identifying it with deviation from “temporal self-similarity”, the property of a system dynamics whereby the propagator between two intermediate states is independent of the initial time t. We illustrate this idea through examples, and propose a geometric quantification of temporal self-similarity, and show how our approach complements the divisibility-based criterion of quantum non-Markovianity.
DOI
10.1038/s41598-020-72211-3
Publication Date
12-1-2020
Recommended Citation
Utagi, Shrikant; Srikanth, R.; and Banerjee, Subhashish, "Temporal self-similarity of quantum dynamical maps as a concept of memorylessness" (2020). Open Access archive. 1032.
https://impressions.manipal.edu/open-access-archive/1032
