Contextuality as a Precondition for Quantum Entanglement

Abstract

Quantum theory features several phenomena which can be considered as resources for information processing tasks. Some of these effects, such as entanglement, arise in a nonlocal scenario, where a quantum state is distributed between different parties. Other phenomena, such as contextuality, can be observed if quantum states are prepared and then subjected to sequences of measurements. We use robust remote state preparation to connect the nonlocal and sequential scenarios and provide an intimate connection between different resources: We prove that entanglement in a nonlocal scenario can arise only if there is preparation and measurement contextuality in the corresponding sequential scenario and that the absence of entanglement implies the absence of contextuality. As a direct consequence, our result allows us to translate any inequality for testing preparation and measurement contextuality into an entanglement test; in addition, entanglement witnesses can be used to design novel contextuality inequalities.

References in corpus (10)

• Entanglement detection
• Quantum metrology from a quantum information science perspective
• Preparation contextuality powers parity-oblivious multiplexing
• Energy as an Entanglement Witness for Quantum Many-Body Systems
• Non-adaptive Measurement-based Quantum Computation and Multi-party Bell Inequalities
• Accessible fragments of generalized probabilistic theories, cone equivalence, and applications to witnessing nonclassicality
• Contextuality without incompatibility
• An invertible map between Bell non-local and contextuality scenarios
• Testing quantum theory by generalizing noncontextuality
• Incompatibility in restricted operational theories: connecting contextuality and steering

Cited by in corpus (7)

• No-broadcasting characterizes operational contextuality
• Constrained Measurement Incompatibility from Generalised Contextuality of Steered Preparation
• Harvesting Contextuality from the Vacuum
• Contextual advantages across two-state discrimination strategies
• Optimal CHSH values for regular polygon theories in generalized probabilistic theories
• Failure of epistemic models to explain the antidistinguishability of quantum mixed preparations
• Probe of Generic Quantum Contextuality and Nonlocal Resources for Qubits