Quantum information causality

Abstract

How much information can a transmitted physical system fundamentally communicate? We introduce the principle of quantum information causality, which states the maximum amount of quantum information that a quantum system can communicate as a function of its dimension, independently of any previously shared quantum physical resources. We present a new quantum information task, whose success probability is upper bounded by the new principle, and show that an optimal strategy to perform it combines the quantum teleportation and superdense coding protocols with a task that has classical inputs.

4 pages, plus 5 of supplemental material. Expanded discussion, minor changes and added references. To appear in Physical Review Letters

References in corpus (9)

• The classical-quantum boundary for correlations: discord and related measures
• On the quantum, classical and total amount of correlations in a quantum state
• A generalized no-broadcasting theorem
• Quantum discord bounds the amount of distributed entanglement
• Quantum cost for sending entanglement
• Recovering part of the quantum boundary from information causality
• Macroscopically local correlations can violate information causality
• Information Causality and Extremal Tripartite Correlations
• Tsirelson's bound from a Generalised Data Processing Inequality

Cited by in corpus (9)

• Bell nonlocality
• Improved Classical and Quantum Random Access Codes
• One-out-of-$m$ spacetime-constrained oblivious transfer
• Hyperdense coding and superadditivity of classical capacities in hypersphere theories
• Information Causality, the Tsirelson Bound, and the 'Being-Thus' of Things
• Globe-hopping
• Encoding M classical bits in the arrival time of dense-coded photons
• Quantum inputs in the prepare-and-measure scenario and stochastic teleportation
• Spacetime symmetries and the qubit Bloch ball: a physical derivation of finite dimensional quantum theory and the number of spatial dimensions