Teleportation with Embezzling Catalysts

TL;DR

This paper introduces teleportation protocols utilizing embezzling catalysts that can achieve arbitrarily high fidelity, with some catalysts being universal and methods to reduce catalyst dimension for practical implementation.

Contribution

It presents novel teleportation protocols with embezzling catalysts capable of arbitrarily high fidelity and explores catalyst universality and dimension reduction techniques.

Findings

Embezzling catalysts can achieve arbitrarily high teleportation fidelity.

Some embezzling catalysts are universal across different entanglement resources.

Methods to reduce catalyst dimension without increasing consumption are proposed.

Abstract

Quantum teleportation is the process of transferring quantum information using classical communication and pre-shared entanglement. This process can benefit from the use of catalysts, which are ancillary entangled states that can enhance teleportation without being consumed. While chemical catalysts undergoing deactivation invariably exhibit inferior performance compared to those unaffected by deactivation, quantum catalysts, termed embezzling catalysts, that are subject to deactivation, may surprisingly outperform their non-deactivating counterparts. In this work, we present teleportation protocols with embezzling catalyst that can achieve arbitrarily high fidelity, namely the teleported state can be made arbitrarily close to the original state, with finite-dimensional embezzling catalysts. We show that some embezzling catalysts are universal, meaning that they can improve the teleportation fidelity for any pre-shared entanglement. We also explore methods to reduce the dimension of catalysts without increasing catalyst consumption, an essential step towards realizing quantum catalysis in practice.