Teleportation in an indivisible quantum system

TL;DR

This paper reinterprets one-qubit teleportation as a state transfer within subspaces of an indivisible eight-dimensional quantum system, expanding the conceptual framework beyond traditional spatially separated systems.

Contribution

It introduces a novel perspective on quantum teleportation by demonstrating its feasibility within a single high-dimensional system rather than spatially separated carriers.

Findings

Teleportation can be realized within subspaces of an indivisible quantum system.

Explicit operations for such teleportation are provided.

Alternative implementation methods are discussed.

Abstract

Teleportation protocol is conventionally treated as a method for quantum state transfer between two spatially separated physical carriers. Recent experimental progress in manipulation with high-dimensional quantum systems opens a new framework for implementation of teleportation protocols. We show that the one-qubit teleportation can be considered as a state transfer between subspaces of the whole Hilbert space of an indivisible eight-dimensional system. We explicitly show all corresponding operations and discuss an alternative way of implementation of similar tasks.