Superunsteerability as a quantifiable resource for random access codes assisted by Bell-diagonal states

Abstract

We show how nonclassical correlations in local bipartite states can act as a resource for quantum information processing. Considering the task of quantum random access codes (RAC) through separable Bell-diagonal states, we demonstrate the advantage of superunsteerability over classical protocols assisted with two-bits of shared randomness. We propose a measure of superunsteerability, which quantifies nonclassicality beyond quantum steering, and obtain its analytical expression for Bell-diagonal states in the context of the two- and three-setting steering scenarios that are directly related to the quantum $2\to 1$ and $3\to 1$ RAC protocols, respectively. The maximal values of our quantifier yield the optimal quantum efficiency for both of the above protocols, thus showing that superunsteerability provides a precise characterization of the nonclassical resource for implementing RACs with separable Bell-diagonal class of states.

arXiv comment10 pages, accepted for publication in Physical Review A

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Cited by in corpus (9)

• Ability of unbounded pairs of observers to achieve quantum advantage in random access codes with a single pair of qubits
• Interplays between classical and quantum entanglement-assisted communication scenarios
• Asymmetric One-Sided Semi-Device-Independent Steerability of Quantum Discordant States
• Certifying quantumness beyond steering and nonlocality and its implications on quantum information processing
• Sufficient conditions for quantum advantage in random access code protocols with two-qubit states
• Role of nonclassical temporal correlation in powering quantum random access codes
• Constructing a ball of separable and absolutely separable states for $2\otimes d$ quantum system
• Operational simultaneous correlations in complementary bases of bipartite states via one-sided semi-device-independent steering
• Contextuality, superlocality and nonclassicality of supernoncontextuality