Meta-Entanglement

TL;DR

This paper offers a meta-logical interpretation of quantum space-time entanglement using a sequent calculus framework, introducing new rules and theorems that model quantum teleportation and entanglement.

Contribution

It introduces a novel meta-logical approach to quantum entanglement and teleportation, including new structural rules and theorems within a quantum sub-structural logic framework.

Findings

Reproduces quantum teleportation protocol within a logical framework

Shows entangled space-time can transmit unknown quantum states

Introduces Hadamard and CNOT rules for modeling entanglement

Abstract

We give a meta-logical interpretation of the entanglement mechanism of quantum space-time in terms of the sequent calculus of a quantum sub-structural logic. This meta-logical picture is based mainly on the two meta-rules cut and EPR, and on the new meta-theorem teleportation (TEL), built by the use of the above meta-rules, both performed in parallel. The proof of (TEL)-theorem fairly reproduces the protocol of quantum teleportation. In the framework of space-time entanglement, the conclusion of the (TEL)-theorem is that the entangled space-time can convey the quantum teleportation of an unknown quantum state. We also introduce two new structural rules: the Hadamard (H)-rule and the CNOT-rule, the latter being used, together with the cut, in the proof of the new theorem Entanglement (ENT).