Operational detection of entanglement via quantum designs

Abstract

From an operational point of view, we propose several new entanglement detection criteria using quantum designs. These criteria are constructed by considering the correlations defined with quantum designs. Counter-intuitively, the criteria with more settings are exactly equivalent to the corresponding ones with the minimal number of settings, namely the symmetric informationally complete positive operator-valued measures (SIC POVMs). Fundamentally, this observation highlights the potentially unique role played by SIC POVMs in quantum information processing. Experimentally, this provides the minimal number of settings that one should choose for detecting entanglement. Furthermore, we find that nonlinear criteria are not always better than linear ones for the task of entanglement detection.

8 pages, 2 figures; close to the published version

References in corpus (7)

• Entanglement detection
• Entanglement criteria based on local uncertainty relations are strictly stronger than the computable cross norm criterion
• Experimental characterization of qutrits using SIC-POVMs
• Experimental Polarization State Tomography using Optimal Polarimeters
• Entanglement detection using mutually unbiased measurements
• A family of multipartite separability criteria based on correlation tensor
• Entanglement Witnesses Based on Symmetric Informationally Complete Measurements

Cited by in corpus (1)

• Entanglement Criteria Based on Quantum Fisher Information