Quantum steering as a witness of quantum scrambling
- URL: http://arxiv.org/abs/2003.07043v3
- Date: Fri, 3 Sep 2021 04:17:04 GMT
- Title: Quantum steering as a witness of quantum scrambling
- Authors: Jhen-Dong Lin, Wei-Yu Lin, Huan-Yu Ku, Neill Lambert, Yueh-Nan Chen,
and Franco Nori
- Abstract summary: Quantum information scrambling describes the delocalization of local information to global information.
We show that quantum information scrambling can also be witnessed by temporal quantum steering for qubit systems.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum information scrambling describes the delocalization of local
information to global information in the form of entanglement throughout all
possible degrees of freedom. A natural measure of scrambling is the tripartite
mutual information (TMI), which quantifies the amount of delocalized
information for a given quantum channel with its state representation, i.e.,
the Choi state. In this work, we show that quantum information scrambling can
also be witnessed by temporal quantum steering for qubit systems. We can do so
because there is a fundamental equivalence between the Choi state and the
pseudo-density matrix formalism used in temporal quantum correlations. In
particular, we propose a quantity as a scrambling witness, based on a measure
of temporal steering called temporal steerable weight. We justify the
scrambling witness for unitary qubit channels by proving that the quantity
vanishes whenever the channel is non-scrambling.
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