Device-Independent Certification of Genuinely Entangled Subspaces
F. Baccari, Remigiusz Augusiak, Ivan Šupić, Antonio Acín
Abstract
Self-testing is a procedure for characterizing quantum resources with the minimal level of trust. Up to now it has been used as a device-independent certification tool for particular quantum measurements, channels, and pure entangled states. In this work we introduce the concept of self-testing more general entanglement structures. More precisely, we present the first self-tests of an entangled subspace-the five-qubit code and the toric code. We show that all quantum states maximally violating a suitably chosen Bell inequality must belong to the corresponding code subspace, which remarkably includes also mixed states.
Topics & Concepts
Quantum entanglementSubspace topologyCode (set theory)Linear subspaceCertificationComputer scienceQuantum mechanicsPhysicsQubitTheoretical physicsQuantumBell's theoremBell stateTheoretical computer scienceLawMathematicsPure mathematicsProgramming languagePolitical scienceArtificial intelligenceSet (abstract data type)Quantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum Mechanics and Applications