Non-asymptotic entanglement distillation

Understand

Entanglement distillation, an essential quantum information processing task, refers to the conversion from multiple copies of noisy entangled states to a smaller number of highly entangled states.

• In this work, we study the non-asymptotic fundamental limits for entanglement distillation.
• We investigate the optimal tradeoff between the distillation rate, the number of prepared states, and the error tolerance.
• First, we derive the one-shot distillable entanglement under completely positive partial transpose preserving operations as a semidefinite program and demonstrate an exact characterization via the quantum hypothesis testing relative entropy.