Quantum scrambling and the growth of mutual information
- URL: http://arxiv.org/abs/2002.02867v2
- Date: Sat, 2 May 2020 16:37:01 GMT
- Title: Quantum scrambling and the growth of mutual information
- Authors: Akram Touil and Sebastian Deffner
- Abstract summary: Quantum information scrambling refers to the loss of local recoverability of quantum information.
We prove that the growth of entanglement as quantified by the mutual information is lower bounded by the time-dependent change of Out-Of-Time-Ordered Correlator.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum information scrambling refers to the loss of local recoverability of
quantum information, which has found widespread attention from high energy
physics to quantum computing. In the present analysis we propose a possible
starting point for the development of a comprehensive framework for the
thermodynamics of scrambling. To this end, we prove that the growth of
entanglement as quantified by the mutual information is lower bounded by the
time-dependent change of Out-Of-Time-Ordered Correlator. We further show that
the rate of increase of the mutual information can be upper bounded by the sum
of local entropy productions, and the exchange entropy arising from the flow of
information between separate partitions of a quantum system. Our results are
illustrated for the ion trap system, that was recently used to verify
information scrambling in an experiment, and for the Sachdev-Ye-Kitaev model.
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