2025 Quantum Teleportation: Incremental Advances, No New Physics — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 14, 2026• 0 citations

Abstract

FINDING: Quantum teleportation advances in 2025 are incremental — no new fundamental equation or constant emerges from the provided sources; the MIT double-slit single-photon result re-confirms Born's rule and wavefunction collapse, while Japanese three-photon teleportation extends known protocols. | MATH: Born's rule $P(x)=|\psi(x)|^2$; teleportation fidelity $F = \langle \psi_{\text{in}}|\rho_{\text{out}}|\psi_{\text{in}}\rangle \leq 1$, with Bell-state measurement success probability $1/4$ per attempt for two-qubit teleportation; three-photon teleportation scales as $2^n$ basis states, $n=3$ → 8-dimensional Hilbert space. No new constants or ratios appear. | CONNECTION: None directly — no golden ratio, Fibonacci, base-60, or crystallographic symmetry is reported in these sources. The only structural link is the 2D Hilbert space of a qubit, which maps to the Bloch sphere (SO(3) symmetry), but that is standard, not novel. | DEPTH: 3 — These are confirmations and engineering Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI: 10.5281/zenodo.22748081

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2025 Quantum Teleportation: Incremental Advances, No New Physics — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 14, 2026• 0 citations

Publisher

Abstract

FINDING: Quantum teleportation advances in 2025 are incremental — no new fundamental equation or constant emerges from the provided sources; the MIT double-slit single-photon result re-confirms Born's rule and wavefunction collapse, while Japanese three-photon teleportation extends known protocols. | MATH: Born's rule (P(x)=|\psi(x)|^2); teleportation fidelity (F = \langle \psi_{\text{in}}|\rho_{\text{out}}|\psi_{\text{in}}\rangle \leq 1), with Bell-state measurement success probability (1/4) per attempt for two-qubit teleportation; three-photon teleportation scales as (2^n) basis states, (n=3) → 8-dimensional Hilbert space. No new constants or ratios appear. | CONNECTION: None directly — no golden ratio, Fibonacci, base-60, or crystallographic symmetry is reported in these sources. The only structural link is the 2D Hilbert space of a qubit, which maps to the Bloch sphere (SO(3) symmetry), but that is standard, not novel. | DEPTH: 3 — These are confirmations and engineering Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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|\psi\rangle = \sum_i c_i |i\rangle

with Born rule

P(i) = |c_i|^2

. Teleportation fidelity likely > classical limit 2/3, but exact value not given. | CONNECTION: No explicit geometric ratios, base-60, or crystallographic symmetries appear in these summaries. The double-slit pattern itself encodes

\sin^2(\pi d \sin\theta/\lambda)

— a harmonic interference structure, but not the specific golden-ratio family. | DEPTH: 3 — Confirmatory experiments, no new mathematical invariants or structural constants extracted. The teleportation claim (three qubits) is incremental; no new algebra or symmetry group introduced. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

F = \langle\psi|\rho|\psi\rangle

, and teleportation protocol

|\psi\rangle \to |\psi\rangle

via shared Bell pair

|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)

. Logical gate teleportation uses Clifford group operations and stabilizer formalism. | CONNECTION: Weak — the Bell basis is a 2D orthonormal basis, but no explicit golden ratio, Fibonacci, or base-60 structure appears. However, the stabilizer formalism connects to symplectic geometry over

\mathbb{F}_2

, and the Clifford group is a discrete subgroup of the unitary group — a lattice-like structure in operator space. | DEPTH: 4 — Solid engineering progress, but mathematically incremental; no new univers Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

|\psi\rangle = \alpha|0\rangle + \beta|1\rangle

, Bell state measurement, entanglement fidelity

F = |\langle\psi|\rho|\psi\rangle|^2

. No novel ratios or constants. | CONNECTION: None. No geometric ratios (0.382, 0.618, 0.786, 1.618, 2.618), base-60, or crystallographic symmetries appear in the findings. | DEPTH: 1 — These are confirmatory experiments and popular science summaries, not new mathematical insights. No advancement in understanding the universe's mathematical structure. Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)

|\Phi^-\rangle = \frac{1}{\sqrt{2}}(|00\rangle - |11\rangle)

|\Psi^+\rangle = \frac{1}{\sqrt{2}}(|01\rangle + |10\rangle)

|\Psi^-\rangle = \frac{1}{\sqrt{2}}(|01\rangle - |10\rangle)

. Teleportation fidelity

F = \langle \psi | \rho_{\text{out}} | \psi \rangle

with

F > 2/3

for non-classical threshold. No new fundamental constants or ratios emerge from these videos. | CONNECTION: No direct geometric harmony ratios (0.382, 0.618, 0.786, 1.618, 2.618) or base-60 or crystallographic symmetries appear. The Bell states exhibit

SU(2)

symmetry, which is isomorphic to the double cover of

SO(3)

, a rotation group linked to spherical harmonics but not to the spe Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

FINDING: Quantum teleportation relies on entanglement and Bell state measurement to transfer qubit states without physical particle transport. | MATH: Bell state basis:

|\Phi^\pm\rangle = \frac{1}{\sqrt{2}}(|00\rangle \pm |11\rangle)

|\Psi^\pm\rangle = \frac{1}{\sqrt{2}}(|01\rangle \pm |10\rangle)

. Teleportation fidelity

F = \langle \psi | \rho_{\text{out}} | \psi \rangle

approaches 1 for ideal entanglement. No new constants or ratios beyond standard quantum mechanics. | CONNECTION: No explicit geometric harmony ratios (0.382, 0.618, etc.) or base-60, crystallographic symmetries appear in these video descriptions. The circuit diagrams use standard qubit rotations and CNOT gates, which relate to SU(2) symmetry and Bloch sphere geometry (a 2-sphere with Hopf fibration structure), but no novel harmonic ratios. | DEPTH: 3 — These are educational overviews, not original research. No new mathematical essence extracted beyond known quantum teleportation protocol (Bennett et al., Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

F > 2/3

for non-classical (typically

F \approx 0.85-0.99

in recent experiments) - Bell state measurement success probability:

P = 1/4

per entangled pair (standard linear optics) - Double-slit interference condition:

d \sin\theta = n\lambda

(unchanged, but now with single-photon coherence over macroscopic distances) - No new fundamental constants or ratios reported in these sources. CONNECTION: - No explicit geometric ratios (0.382, 0.618, 1.618, etc.) appear in the provided findings. - Teleportation relies on Bell states, which are maximally entangled states in a 2D Hilbert space — no crystallographic or root-system symmetry directly invoked. - The doubl Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com