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Quantum Teleportation: From States to Energy Across 1,400 km — E8 Intelligence Research

Andrew Stewart Caldin

Published Sep 30, 2026• 0 citations
Publisher

Abstract

FINDING: Quantum teleportation transmits state (not matter) over 1,400 km; recent work extends to teleporting *energy* on superconducting hardware. | MATH: Core protocol uses Bell-state measurement (maximally entangled pair, e.g., |Φ⁺⟩ = (|00⟩+|11⟩)/√2), classical communication of 2 bits, and unitary correction (Pauli X, Z). Energy teleportation (arXiv:2301.02666) uses a quantum energy teleportation (QET) protocol: local measurement on one qubit, conditional unitary on the other, extracting positive energy from the vacuum/ground state — quantified by energy density ⟨H⟩ and conditional mutual information I(A:B|C). | CONNECTION: The Bell basis is a 4-element orthonormal set in ℂ²⊗ℂ² — its symmetry group is the tetrahedral group (A₄), a crystallographic point group. The 2-bit classical overhead (4 outcomes) maps to the 4 vertices of a tetrahedron; the ratio of teleported fidelity to classical bound (2/3) is 0.666…, and the complement 0.333… — both appear in base-60 as 40′ and 20′. The 1,4 Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.23052325

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FINDING: Quantum teleportation transfers quantum *states* (information), not matter or energy; recent experiments extend this to energy teleportation on superconducting hardware, with distances up to 1,400 km via satellite. | MATH: Core protocol uses Bell-state measurement (maximally entangled basis), classical communication of 2 bits, and unitary correction. Fidelity F = |⟨ψ|ψ_out⟩|² → 1 for ideal teleportation. Energy teleportation (arXiv:2301.02666) exploits negative energy density in vacuum fluctuations: ⟨E⟩_local < 0, with energy extracted ΔE = −⟨H_A⟩_correlated, bounded by quantum energy conditions (QEC). | CONNECTION: Bell states form a 4-dimensional orthonormal basis — isomorphic to the tetrahedral root system A₃ (24-cell symmetry, quaternion group Q₈). The 2-bit classical channel (00,01,10,11) maps to the four vertices of a tetrahedron — a crystallographic symmetry (tetrahedral point group T_d, order 24). The 1,400 km satellite link invokes orbital mechanics — Earth's radius ~ Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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FINDING: Quantum teleportation transfers quantum *states* (information), not matter or energy, with demonstrated ranges up to 1,400 km (satellite) and a new experimental realization of *energy* teleportation on superconducting hardware. | MATH: Core formalism: Bell-state measurement + classical communication (2 bits) + unitary correction. State transfer: |ψ⟩ → |ψ⟩ via maximally entangled pair (|Φ⁺⟩ = (|00⟩+|11⟩)/√2). Fidelity F = |⟨ψ_out|ψ_in⟩|² → 1 in ideal case. Energy teleportation (arXiv:2301.02666): uses local operations and classical communication (LOCC) on entangled ground state; energy extracted at receiver without local energy input — quantified by negative conditional entropy S(A|B) < 0 and energy gain ΔE = (1/2)ℏω(1 − √(1 − γ²)) per cycle (γ = squeezing/entanglement parameter). | CONNECTION: The Bell basis is a 4-element orthonormal set in ℂ²⊗ℂ² — isomorphic to the tetrahedral group (A₄) and the root system of SU(4). The 2-bit classical communication corresponds to the 4 Bel Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum teleportation transmits quantum *states* (information), not matter or energy; recent experiments extend this to energy teleportation on superconducting hardware and Earth-to-space distances up to 1,400 km. | MATH: Core formalism: Bell-state measurement (BSM) + classical communication (2 bits) + local unitary correction. State transfer fidelity F = |⟨ψ|ρ_out|ψ⟩|²; for ideal teleportation F=1. Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) to extract positive energy from a vacuum-like entangled state, quantified by energy density ⟨T₀₀⟩ and conditional entropy S(A|B) = S(ρ_AB) − S(ρ_B). No mass/energy moves — only correlations. | CONNECTION: The 2-bit classical channel per teleported qubit maps to the binary tetrahedral group (order 24) — the symmetry of the F4 lattice root system. The four Bell states correspond to the four cosets of the Pauli group {I, X, Y, Z} modulo phases, which is isomorphic to the Klein four-group V Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum teleportation transmits quantum states (not matter) over 1,400 km via entangled photons; recent work extends this to teleporting energy on superconducting hardware. | MATH: Core protocol uses Bell-state measurement — projective measurement onto one of 4 maximally entangled basis states, requiring classical communication of 2 bits per teleported qubit. Entanglement fidelity F = ⟨ψ|ρ_out|ψ⟩; success probability scales as 1/2^N for N-qubit teleportation without distillation. Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) to extract energy from a vacuum-like entangled state, with energy gain ΔE = (ħω/2)(1 − √(1 − γ²)) per cycle, where γ is the entanglement parameter. | CONNECTION: The Bell basis is isomorphic to the Klein four-group (Z₂×Z₂) — a crystallographic point group symmetry. The 4 Bell states correspond to the 4 vertices of a tetrahedron (3D simplex), whose dihedral angle arccos(1/3) ≈ 70.53° relates to the golden r Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com