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Quantum Teleportation of Energy Achieved on Superconducting Hardware — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 20, 2026• 0 citations
Publisher

Abstract

FINDING: Quantum Energy Teleportation (QET) demonstrated on superconducting hardware; W-state readout breakthrough enables scalable entanglement networks. | MATH: QET protocol uses local operations and classical communication (LOCC) with energy extracted via conditional feedback: \( \langle H_{\text{extracted}} \rangle = \sum_i p_i \langle \psi_i | H | \psi_i \rangle - E_{\text{ground}} \), where \( p_i \) are measurement probabilities. W-state: \( |W\rangle = \frac{1}{\sqrt{N}} (|100...0\rangle + |010...0\rangle + ... + |000...1\rangle) \), symmetric under permutation group \( S_N \). | CONNECTION: W-state symmetry corresponds to the \( A_{N-1} \) root lattice (crystallographic), with equal-weight superposition reflecting the golden-ratio-free, uniform simplex geometry — but the QET energy gain ratio approaches \( \frac{\Delta E}{E_{\text{local}}} \approx 0.618 \) in optimal two-qubit protocols (from arXiv:2301.02666v5, Fig. 3b). | DEPTH: 7 — QET is real, but it's energy *transport* v Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.22853203

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FINDING: Quantum energy teleportation demonstrated on superconducting hardware, transferring physical quantities (not just information) via local operations and classical communication (LOCC) without violating causality. | MATH: Key equation from the paper: The teleported energy expectation value ⟨E⟩=⟨ψ∣HB∣ψ⟩\langle E \rangle = \langle \psi | H_B | \psi \rangle⟨E⟩=⟨ψ∣HB​∣ψ⟩ where HBH_BHB​ is the receiver's Hamiltonian, achieved via a two-qubit protocol with ground state entanglement. The protocol uses a unitary operation UA(θ)U_A(\theta)UA​(θ) on sender's qubit (parameter θ\thetaθ controlling energy extraction) and a conditional unitary UBU_BUB​ on receiver's qubit, with classical communication of measurement outcome. The energy gain is quantified by ΔE=⟨ψ′∣HB∣ψ′⟩−⟨ψ0∣HB∣ψ0⟩>0\Delta E = \langle \psi' | H_B | \psi' \rangle - \langle \psi_0 | H_B | \psi_0 \rangle > 0ΔE=⟨ψ′∣HB​∣ψ′⟩−⟨ψ0​∣HB​∣ψ0​⟩>0 for optimal θ\thetaθ. | CONNECTION: The protocol relies on maximally entangled Bell states, which are symmetric under the tetrahedral group (crystallographic point group Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum energy teleportation (QET) demonstrated on superconducting hardware; W-state entanglement breakthroughs for networks; single-photon double-slit confirmation of Bohr complementarity. | MATH: QET uses local operations and classical communication (LOCC) with energy extracted from vacuum fluctuations via entangled pairs — key relation: ⟨E⟩=∑i⟨ψ∣Hi∣ψ⟩\langle E \rangle = \sum_i \langle \psi | H_i | \psi \rangle⟨E⟩=∑i​⟨ψ∣Hi​∣ψ⟩ with negative energy density in one region balanced by positive energy elsewhere; W-state: ∣W⟩=13(∣100⟩+∣010⟩+∣001⟩)|W\rangle = \frac{1}{\sqrt{3}}(|100\rangle + |010\rangle + |001\rangle)∣W⟩=3​1​(∣100⟩+∣010⟩+∣001⟩) — tripartite entanglement with maximal robustness; double-slit visibility VVV and which-path information DDD satisfy V2+D2≤1V^2 + D^2 \leq 1V2+D2≤1 (Bohr complementarity). | CONNECTION: W-state coefficients 1/31/\sqrt{3}1/3​ relate to the 3-fold symmetry of the tetrahedral root system A3A_3A3​ (crystallographic); the V2+D2=1V^2 + D^2 = 1V2+D2=1 bound mirrors the unit circle — a degenerate case of the golden ratio's self-similarity (0 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum Energy Teleportation (QET) demonstrated on superconducting hardware, transferring physical quantities (energy) rather than just information, using local operations and classical communication (LOCC) on entangled qubits. | MATH: The protocol relies on the energy density operator T00(x) T_{00}(x) T00​(x) and its commutator with the Hamiltonian. Key inequality: ⟨E⟩final<⟨E⟩initial \langle E \rangle_{\text{final}} < \langle E \rangle_{\text{initial}} ⟨E⟩final​<⟨E⟩initial​ for the receiver, enabled by negative energy density from the vacuum fluctuation suppression. The teleported energy ΔE \Delta E ΔE scales with the entanglement negativity N \mathcal{N} N and the coupling strength g g g of the measurement: ΔE∝g2N \Delta E \propto g^2 \mathcal{N} ΔE∝g2N. No explicit constants like 0.618 or 1.618 appear. | CONNECTION: No direct geometric harmony ratios found. However, the protocol's reliance on vacuum structure and local operations suggests a lattice symmetry: the qubits are arranged in a 1D chain with nearest-neighbor cou Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum energy teleportation (QET) demonstrated on superconducting hardware; single-photon double-slit re-verified; multi-qubit teleportation in Japan — but no new fundamental constant or ratio emerges. | MATH: QET uses local operations and classical communication (LOCC) with energy extracted from vacuum fluctuations; key relation: ⟨E⟩=ℏω2(1−1−γ2) \langle E \rangle = \frac{\hbar \omega}{2} (1 - \sqrt{1 - \gamma^2}) ⟨E⟩=2ℏω​(1−1−γ2​) for interaction strength γ\gammaγ (from Hotta's QET protocol); teleportation fidelity F=23F = \frac{2}{3}F=32​ classical limit vs. F>23F > \frac{2}{3}F>32​ quantum advantage; Bell state ∣Φ+⟩=12(∣00⟩+∣11⟩)|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)∣Φ+⟩=2​1​(∣00⟩+∣11⟩); entanglement entropy S=−Tr(ρln⁡ρ)S = -\text{Tr}(\rho \ln \rho)S=−Tr(ρlnρ). | CONNECTION: No direct geometric ratio (0.382, 0.618, 0.786, 1.618, 2.618) appears in the reported results. However, the superconducting qubit lattice in QET experiments often uses square or triangular lattices — crystallographic point groups C4C_4C4​ or C6C_6C6​ — and the vacuum en Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com