Quantum steering as a witness of quantum scrambling
arXiv:2003.07043 · doi:10.1103/PhysRevA.104.022614
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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- Maxwell's two-demon engine under pure dephasing noise
- Dissipation induced information scrambling in a collision model
- Unveiling quantum steering by quantum-classical uncertainty complementarity
- Witnessing non-Markovianity with Gaussian quantum steering in collision model
- Boosting entanglement growth of many-body localization by superpositions of disorder
- Operational simultaneous correlations in complementary bases of bipartite states via one-sided semi-device-independent steering
- Hidden nonmacrorealism: reviving the Leggett-Garg inequality with stochastic operations