QUANTUM HYPOTHESES

Alexander Abdennur

Peter Alden Roessle

In this article, we define and build the criteria for the testing of hypotheses in the physical quantum systems.For each quantum state, we construct the measure in the space ( ),where U P is the space of the pure states of the quantum system, S is the Borel

Taku Onishi

Ho-Joon Kim, Soojoon Lee

Quantum measurement is a class of quantum channels that sends quantum states to classical states. We set up resource theories of quantum coherence and quantum entanglement for quantum measurements and find relations between them. For this, we conceive a relative entropy-type quantity to account for the quantum resources of quantum measurements. The quantum coherence of a quantum measurement can be converted into the entanglement in a bipartite quantum measurement through coherence nongenerating transformations. Conversely, a quantum entanglement monotone of quantum measurements induces a quantum coherence monotone of quantum measurements. Our results confirm that the understanding on the link between quantum coherence and quantum entanglement is valid even for quantum measurements which do not generate any quantum resource.

Gordon McCabe, Carfax Publishing