Improving quantum channel discrimination with resourceful states

Abstract

One of the key issues in quantum discrimination problems is understanding the extent of the advantages in discrimination performance when using resource states compared to resourceless states. We show that in any resource theory of states, which may not be convex, the extent to which the maximum average success probability can be improved in quantum channel discrimination problems without using auxiliary systems can be precisely quantified by the robustness measure. This result offers an intuitive operational meaning of the robustness measure in any convex resource theory. Furthermore, we demonstrate that the robustness measure can also quantify the improvement in channel discrimination problems that use auxiliary systems. Using these findings, resources can be fully characterized to achieve higher success probabilities than any state without the given resource in channel discrimination problems.

References in corpus (11)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Einstein-Podolsky-Rosen steering provides the advantage in entanglement-assisted subchannel discrimination with one-way measurements
• The resource theory of quantum reference frames: manipulations and monotones
• Application of a resource theory for magic states to fault-tolerant quantum computing
• Max- relative entropy of coherence: an operational coherence measure
• Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
• All entangled states are useful for channel discrimination
• All sets of incompatible measurements give an advantage in quantum state discrimination
• Entanglement in channel discrimination with restricted measurements
• Optimal single shot strategies for discrimination of quantum measurements
• Every quantum helps: Operational advantage of quantum resources beyond convexity