An Adaptive Entanglement Distillation Scheme Using Quantum Low Density Parity Check Codes

TL;DR

This paper presents a numerical analysis of an adaptive entanglement distillation scheme utilizing quantum low density parity check (QLDPC) codes, demonstrating improved yields under certain error conditions for quantum information processing.

Contribution

The paper introduces an adaptive entanglement distillation method using QLDPC codes and shows its superior performance over previous schemes in specific error regimes.

Findings

Expected yield exceeds previous schemes below 0.07 error probability.

Expected yield exceeds previous schemes above 0.28 error probability.

QLDPC codes enhance entanglement distillation efficiency.

Abstract

Quantum low density parity check (QLDPC) codes are useful primitives for quantum information processing because they can be encoded and decoded efficiently. Besides, the error correcting capability of a few QLDPC codes exceeds the quantum Gilbert-Varshamov bound. Here, we report a numerical performance analysis of an adaptive entanglement distillation scheme using QLDPC codes. In particular, we find that the expected yield of our adaptive distillation scheme to combat depolarization errors exceed that of Leung and Shor whenever the error probability is less than about 0.07 or greater than about 0.28. This finding illustrates the effectiveness of using QLDPC codes in entanglement distillation.