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

Andrew Stewart Caldin

Published Oct 4, 2026• 0 citations
Publisher

Abstract

FINDING: Quantum teleportation transmits quantum *states* (information), not matter/energy; recent experiments extend this to teleporting *physical quantities* (energy) on superconducting hardware, with long-distance state teleportation demonstrated at 1,400 km via satellite. | MATH: Core protocol (Bennett et al., 1993) uses a Bell state \(|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)\), two classical bits (cbits) of communication, and one shared entangled pair per qubit teleported. Fidelity \(F = \langle \psi_{\text{in}} | \rho_{\text{out}} | \psi_{\text{in}} \rangle\) quantifies success (F=1 perfect). Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) to extract energy from a vacuum-like entangled state; key quantity is the conditional energy gain \(\Delta E = \langle H_B \rangle_{\rho_{\text{cond}}} - \langle H_B \rangle_{\rho_0}\), where \(H_B\) is the local Hamiltonian at receiver. No new fundamental constants emerge; th Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

DOI
10.5281/zenodo.23131557

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FINDING: Quantum teleportation transmits quantum states (information), not matter/energy; recent experiments extend this to teleporting physical quantities (energy) on superconducting hardware, with long-distance state teleportation demonstrated at 1,400 km via satellite. | MATH: Core protocol (Bennett et al., 1993) uses a Bell state (|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)), two classical bits (cbits) of communication, and one shared entangled pair per qubit teleported. Fidelity (F = \langle \psi_{\text{in}} | \rho_{\text{out}} | \psi_{\text{in}} \rangle) quantifies success (F=1 perfect). Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) to extract energy from a vacuum-like entangled state; key quantity is the conditional energy gain (\Delta E = \langle H_B \rangle_{\rho_{\text{cond}}} - \langle H_B \rangle_{\rho_0}), where (H_B) is the local Hamiltonian at receiver. No new fundamental constants emerge; th 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 distance via entanglement, with demonstrated range up to 1,400 km (satellite link) and recent extension to energy teleportation on superconducting hardware. | MATH: Core protocol (Bennett et al., 1993) uses a Bell-state measurement: ∣Ψ⟩AB=12(∣00⟩+∣11⟩)|\Psi\rangle_{AB} = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)∣Ψ⟩AB​=2​1​(∣00⟩+∣11⟩); teleported state ∣ϕ⟩C|\phi\rangle_C∣ϕ⟩C​ reconstructed via U=σxaσzbU = \sigma_x^a \sigma_z^bU=σxa​σzb​ where a,b∈{0,1}a,b \in \{0,1\}a,b∈{0,1} are classical bits. Fidelity F=⟨ϕin∣ρout∣ϕin⟩≥2/3F = \langle \phi_{\text{in}} | \rho_{\text{out}} | \phi_{\text{in}} \rangle \geq 2/3F=⟨ϕin​∣ρout​∣ϕin​⟩≥2/3 for quantum advantage. 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(e2r−1)/2\Delta E = \hbar \omega (e^{2r} - 1)/2ΔE=ℏω(e2r−1)/2 for squeezing parameter rrr. | CONNECTION: The Bell basis is a 4-element orthonormal set in C2⊗C2\mathbb{C}^2 \otimes \mathbb{C}^2C2⊗C2 — isomorphic to the vertices o 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; recent work extends this to teleporting *energy* via superconducting hardware, with earth-to-space distance records (1,400 km). | MATH: Core protocol: Bell-state measurement + classical communication (2 classical bits) + unitary correction (Pauli operators X,Z,iYX, Z, iYX,Z,iY). State transfer fidelity F=⟨ψ∣ρout∣ψ⟩F = \langle \psi | \rho_{\text{out}} | \psi \rangleF=⟨ψ∣ρout​∣ψ⟩ — experiments report F>0.9F > 0.9F>0.9 (often ~0.9–0.99). Energy teleportation (arXiv:2301.02666) uses a quantum energy teleportation (QET) protocol: local measurement on one qubit, conditional feedback on a distant entangled qubit, extracting energy from the vacuum fluctuation of the entangled pair. Key quantity: extractable energy ΔE=⟨HB⟩after−⟨HB⟩before>0\Delta E = \langle H_B \rangle_{\text{after}} - \langle H_B \rangle_{\text{before}} > 0ΔE=⟨HB​⟩after​−⟨HB​⟩before​>0, bounded by entanglement entropy S(ρAB)S(\rho_{AB})S(ρAB​) and local operation classical communication (LOCC) constraints. No new fundamental constants Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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 transfers quantum states (not matter) via entanglement, with recent demonstrations extending to 1,400 km (satellite) and energy teleportation on superconducting hardware. | MATH: Core protocol uses Bell-state measurement (4 orthonormal maximally entangled states: |Φ±⟩ = (|00⟩±|11⟩)/√2, |Ψ±⟩ = (|01⟩±|10⟩)/√2); teleportation fidelity F = ⟨ψ|ρ_out|ψ⟩; for ideal teleportation F=1, classical limit F≤2/3. Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) with energy extracted from vacuum fluctuations — quantified by conditional energy gain ΔE = ⟨H_B⟩_ρ − ⟨H_B⟩_ρ₀, where ρ is post-measurement state. | CONNECTION: The Bell basis is isomorphic to the tetrahedral group T (order 12) — the four Bell states correspond to the vertices of a regular tetrahedron in SU(2) representation space. The 1,400 km satellite link (Micius) uses polarization-entangled photons with basis aligned to Earth's rotation — the geometry of the l Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum teleportation transfers state (information), not matter or energy; recent work extends protocol to energy teleportation on superconducting hardware. MATH: Core protocol uses Bell-state measurement, two classical bits, and a shared entangled pair — unitary operation U∈{I,X,Z,XZ}U \in \{I, X, Z, XZ\}U∈{I,X,Z,XZ} applied conditionally. Fidelity F=∣⟨ψin∣ψout⟩∣2F = |\langle \psi_{\text{in}} | \psi_{\text{out}} \rangle|^2F=∣⟨ψin​∣ψout​⟩∣2 approaches 1 in ideal case; distance record 1,400 km via satellite (Micius) — no new fundamental constant, but scaling law for entanglement distribution: Psuccess∝e−αLP_{\text{success}} \propto e^{-\alpha L}Psuccess​∝e−αL (attenuation), overcome by free-space channel. Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) with negative energy density extracted from vacuum — quantified by conditional mutual information I(A:C∣B)I(A:C|B)I(A:C∣B) and energy bound ⟨E⟩≥−1βI(A:C∣B)\langle E \rangle \geq - \frac{1}{\beta} I(A:C|B)⟨E⟩≥−β1​I(A:C∣B) (thermodynamic cost). CONNECTION: No direct golden-ratio or base- Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
FINDING: Quantum teleportation transmits state (not matter) over 1,400 km; energy teleportation demonstrated on superconducting hardware; no violation of no-communication theorem. | MATH: Teleportation fidelity F=⟨ψ∣ρout∣ψ⟩F = \langle\psi|\rho_{\text{out}}|\psi\rangleF=⟨ψ∣ρout​∣ψ⟩ (Bell-state measurement success probability 1/41/41/4 per attempt for qubits); entanglement resource: Bell pair ∣Φ+⟩=12(∣00⟩+∣11⟩)|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle+|11\rangle)∣Φ+⟩=2​1​(∣00⟩+∣11⟩); classical communication cost: 2 bits per teleported qubit; energy teleportation (arXiv:2301.02666v5) uses local operations + classical communication (LOCC) to extract energy from vacuum fluctuations via negative energy density regions — quantified by energy density ⟨T00⟩<0\langle T_{00}\rangle < 0⟨T00​⟩<0 in a narrow window, with extracted energy Eext=ℏcd2⋅O(1)E_{\text{ext}} = \frac{\hbar c}{d^2} \cdot \mathcal{O}(1)Eext​=d2ℏc​⋅O(1) where ddd is the separation scale. | CONNECTION: The Bell basis itself is a discrete symmetry group of order 4 (isomorphic to Z2×Z2\mathbb{Z}_2 \times \mathbb{Z}_2Z2​×Z2​) Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com