QubitLogic
arXiv

Entanglement battery and entanglement catalyst in local state discrimination problems

In this work, we study the limitations and advantages of using entanglement battery and entanglement catalyst in local state discrimination problems. We consider both cases of such tools, i.e., exact and approximate cases.

We show that to distinguish any set of orthogonal pure bipartite entangled states perfectly under local operations and classical communication using an (exact) entanglement battery or an (exact) entanglement catalyst, it is necessary to consider that the cardinality of the set must be smaller than the total dimension of the given Hilbert space.

Why this matters

Quantum computing has the potential to revolutionize data processing by solving complex problems more efficiently than classical computers. The study of entanglement batteries and catalysts in local state discrimination contributes to understanding how to leverage quantum properties to achieve better performance in quantum operations.

What they actually achieved

The researchers investigated the use of entanglement batteries and catalysts in local state discrimination problems, considering both exact and approximate cases. They also demonstrated scenarios where these tools offer advantages, including nontrivial cases where an approximate entanglement battery or catalyst is particularly useful.

What they did not achieve

The study outlines the limitations of these tools under specific conditions. In particular, they show that the cardinality of the entangled state set must be smaller than the total dimension of the Hilbert space to achieve perfect discrimination using exact entanglement tools.

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