Resource-Adaptive Teleportation Under Imperfect Entanglement: A Code-Puncturing Framework
Mahmoud Saad Abouamer, Jaron Skovsted Gundersen, S{\o}ren Pilegaard Rasmussen, Petar Popovski

TL;DR
This paper introduces a flexible quantum error correction approach using punctured codes to enhance teleportation reliability under imperfect entanglement, adapting to different error conditions without hardware changes.
Contribution
It proposes a novel code-puncturing framework that allows adaptive quantum error correction in teleportation, improving reliability across various entanglement qualities.
Findings
Punctured codes outperform fixed-rate codes in different regimes.
Adaptive codes reduce the need for high-fidelity initial entanglement.
Numerical results confirm improved logical error rates with punctured codes.
Abstract
Quantum teleportation is a foundational protocol for sending quantum information through entanglement distribution and classical communication. Assuming ideal classical communication, the reliability of quantum teleportation is limited by the fidelity of the shared EPR pairs. This reliability can be improved through two mechanisms: entanglement purification and quantum error correction (QEC). Using both techniques in concert requires flexible QEC rates, since purification alters the structure of errors induced by imperfect-EPR teleportation, and fixed-rate codes cannot be uniformly effective across purification regimes or reliability targets. In this work, we supplement purification with punctured QEC codes, providing a family of code variants that can be adapted to error-channel characteristics and reliability targets. Punctured codes improve teleportation reliability across a broader…
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Quantum Mechanics and Applications
