Space-Time Topology in Teleportation-Based Quantum Computation

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.

v1: 9 pages, 16 figures; v2: 10 pages, references added

References in corpus (2)

• Teleportation Topology
• The logic of entanglement

Cited by in corpus (2)

• What can we learn about islands and state paradox from quantum information theory?
• Teleportation-Based Quantum Computation, Extended Temperley-Lieb Diagrammatical Approach and Yang--Baxter Equation