Entanglement distillation protocols and number theory

Distillation protocols: output entanglement and local mutual information.

A complementary behavior between local mutual information and average output entanglement is derived for arbitrary bipartite ensembles. This leads to bounds on the yield of entanglement in distillation protocols that involve disinguishing. This bound is saturated in the hashing protocol for distillation, for Bell-diagonal states.

Interpolation of recurrence and hashing entanglement distillation protocols

We construct new entanglement distillation protocols by interpolating between the recurrence and hashing protocols. This leads to asymptotic two-way distillation protocols, resulting in an improvement of the distillation rate for all mixed Bell diagonal entangled states, even for the ones with very high fidelity. We also present a method how entanglement-assisted distillation protocols can be c...

Improvement of stabilizer based entanglement distillation protocols by encoding operators

We show a class of encoding operators for a quantum stabilizer code such that the number of gates of the inverse encoding quantum circuit is O(nk), where k qubits are encoded into n qubits by the stabilizer code. Then, we demonstrate that the performances of two-way EDPs are improved by the different choice of inverse encoding operators from the class of inverse encoding operators proposed in t...

Towards the Communication Complexity of Entanglement Distillation Protocols

Quantum entanglement distillation protocols are LOCC protocols that, over “imperfect” EPR pairs shared between Alice and Bob as input, output perfect or near-perfect EPR pairs. In this paper, we study the communication complexity of these protocols, that is, the minimal number of (classical) bits needed for Alice and Bob. We consider 3 models for imperfect EPR pairs. In the measure-r model, r o...

Distillation and bound entanglement