Space-Time Topology in Teleportation-Based Quantum Computation

TL;DR

This paper explores a topological diagrammatic approach to quantum teleportation, revealing a space-time interpretation that simplifies the construction of quantum gates and entangled states, and deepens understanding of quantum non-locality.

Contribution

It introduces a space-time topological interpretation of teleportation-based quantum computation, making the design of quantum circuits more intuitive and establishing a link between space-time and quantum non-locality.

Findings

Topological interpretation simplifies quantum gate construction

Provides intuitive understanding of multipartite entangled states

Links space-time non-locality with quantum non-locality

Abstract

We study the construction of both universal quantum computation and multi-partite entangled states in the topological diagrammatical approach to quantum teleportation. Our results show that the teleportation-based quantum circuit model admits a space-time topological interpretation which makes the construction of both quantum gates and four-partite entangled states more intuitive and simpler. Our results state a deeper link between the space-time non-locality and the quantum non-locality which are the two-fold character of the topological diagrammatical representation.