  Recent advances in quantum information science have shed light on the
intricate dynamics of quantum many-body systems, for which quantum information
scrambling is a perfect example. Motivated by considerations of the
thermodynamics of quantum information, this perspective aims at synthesizing
key findings from several pivotal studies and exploring various aspects of
quantum scrambling. We consider quantifiers such as the Out-of-Time-Ordered
Correlator (OTOC), the quantum Mutual Information, and the Tripartite Mutual
Information (TMI), their connections to thermodynamics, and their role in
understanding chaotic versus integrable quantum systems. With a focus on
representative examples, we cover a range of topics, including the
thermodynamics of quantum information scrambling, and the scrambling dynamics
in quantum gravity models such as the Sachdev-Ye-Kitaev (SYK) model. Examining
these diverse approaches enables us to highlight the multifaceted nature of
quantum information scrambling and its significance in understanding the
fundamental aspects of quantum many-body dynamics at the intersection of
quantum mechanics and thermodynamics.
