Teleportation of Continuous Quantum Variables: A New Approach

TL;DR

This paper introduces a novel theoretical approach to continuous quantum variable teleportation using the holomorphic representation, establishing an analogy with qubit teleportation and discussing its experimental and conceptual implications.

Contribution

It presents a new theoretical framework for continuous variable teleportation that parallels qubit teleportation, enhancing understanding and potential experimental implementation.

Findings

Holomorphic representation simplifies continuous variable teleportation analysis

Establishes analogy between continuous variables and qubits in teleportation

Discusses the role of quantum state localization in teleportation

Abstract

Teleportation of optical field states (as continuous quantum variables) is usually described in terms of Wigner functions. This is in marked contrast to the theoretical treatment of teleportation of qubits. In this paper we show that by using the holomorphic representation of the canonical commutation relations, teleportation of continuous quantum variables can be treated in complete analogy to the case of teleportation of qubits. In order to emphasize this analogy, short descriptions of the basic experimental schemes both for teleportation of qubits and of continuous variables are included. We conclude our paper with a brief discussion of the effectiveness of our description of continuous variable teleportation and of the role of localization of quantum states in teleportation problems.