Quantum Information Scrambling and Entanglement: An Elegant Mathematical Connection
Kapil K. Sharma, Rishikant Rajdeepak, Ashok Kumar, Prasanta K., Panigrahi
TL;DR
This paper explores the mathematical relationship between quantum information scrambling and entanglement, extending previous work to various quantum states such as X-states, Bell states, and Werner states.
Contribution
It generalizes the mathematical connection between quantum information scrambling and entanglement to a broader class of quantum states.
Findings
Established the connection for X-states
Extended the relationship to non-maximally entangled Bell states
Analyzed the connection in Werner states
Abstract
Studying the behavior of quantum information scrambling in various quantum systems is an active area of research. Recently, Sharma et al. [K.K. Sharma, V.P Gerdt, Quantum Inf. Process 20, 195 (2021)] have shown the mathematical connection between quantum information scrambling (QIS) and bipartite entanglement in non-thermal states. In the present work, we elegantly generalize this mathematical connection and study such connections in X-states, non-maximally entangled Bell states, and Werner states
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture