An operational definition of quantum information scrambling
arXiv:2312.11619 · doi:10.1088/2058-9565/ad9ed2
Abstract
Quantum information scrambling (QIS) is a characteristic feature of several quantum systems, ranging from black holes to quantum communication networks. While accurately quantifying QIS is crucial to understanding many such phenomena, common approaches based on the tripartite information have limitations due to the accessibility issues of quantum mutual information, and do not always properly take into consideration the dependence on the encoding input basis. To address these issues, we propose a novel and computationally efficient QIS quantifier, based on a formulation of QIS in terms of quantum state discrimination. We show that the optimal guessing probability, which reflects the degree of QIS induced by an isometric quantum evolution, is directly connected to the accessible min-information, a generalized channel capacity based on conditional min-entropy, which can be cast as a convex program and thus computed efficiently. By applying our proposal to a range of examples with increasing complexity, we illustrate its ability to capture the multifaceted nature of QIS in all its intricacy.
7 pages, 4 figures. Comments are welcome!
References in corpus (13)
- Black holes as mirrors: quantum information in random subsystems
- Quantum state discrimination and its applications
- Remarks on the entanglement entropy for disconnected regions
- Scrambling in Random Unitary Circuits: Exact Results
- Improving Metrology with Quantum Scrambling
- Potential and limitations of quantum extreme learning machines
- Scrambling Transition in a Radiative Random Unitary Circuit
- Scrambling of Algebras in Open Quantum Systems
- Universal scrambling in gapless quantum spin chains
- Dynamical learning of a photonics quantum-state engineering process
- Regression of high dimensional angular momentum states of light
- Quantum scrambling via accessible tripartite information
- Phase-transition-like behavior in information retrieval of a quantum scrambled random circuit system