Work

Semidefinite Relaxations for High-Dimensional Entanglement in the Steering Scenario

Year: 2025

Type: article

Abstract: We introduce semidefinite programming hierarchies for benchmarking relevant entanglement properties in the high-dimensional steering scenario. Firstly, we provide a general method for detecting the entanglement dimensionality through certification of the Schmidt number. Its key feature is that the computational cost is independent of the Schmidt number under consideration. Secondly, we provide a method to estimate the fidelity of the source with any maximally entangled state. Using only basic computational means, we demonstrate the usefulness of these methods, which can be directly used to analyze experiments on high-dimensional systems.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.134.090802

Authors: Nicola D’Alessandro, Carles Roch i Carceller, Armin Tavakoli

Institution: Lund University

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750