Entanglement measures for detectability

Understand

We propose new entanglement measures as the detection performance based on the hypothesis testing setting.

• We clarify how our measures work for detecting an entangled state by extending the quantum Sanov theorem.
• Our analysis covers the finite-length setting.
• Exploiting this entanglement measure, we present how to derive an entanglement witness to detect the given entangled state by using the geometrical structure of this measure.