Quantum Teleportation on Superconducting Hardware: Optimizing Continuous-Variable Fidelity via Local Operations — E8 Intelligence Research

Abstract

FINDING: Quantum energy teleportation demonstrated on superconducting hardware; continuous-variable teleportation optimized via local operations; visualization via Qandies reveals information-theoretic structure. | MATH: Teleportation fidelity \(F \leq (2/3)\) for classical bound vs. quantum threshold \(F > 2/3\) (Bennett et al.); CV teleportation uses Einstein-Podolsky-Rosen (EPR) correlations with gain parameter \(g\), optimal fidelity \(F_{\text{opt}} = 1/(1+e^{-2r})\) for squeezing \(r\); QND interaction yields symplectic transformation \(\hat{x}_1 \to \hat{x}_1, \hat{p}_2 \to \hat{p}_2 + \hat{x}_1\) — a shear in phase space, preserving the symplectic form \(\omega = dp \wedge dx\). | CONNECTION: The symplectic group \(\mathrm{Sp}(2,\mathbb{R})\) is isomorphic to \(\mathrm{SL}(2,\mathbb{R})\) — its maximal compact subgroup is \(\mathrm{SO}(2)\), whose rotation angles correspond to the golden angle \(137.5^\circ\) (complement of \(42.5^\circ\), related to 0.618 via \(360^\circ \time Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com