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Quantum Teleportation: From Qubits to Energy on Superconducting Hardware — E8 Intelligence Research

Andrew Stewart Caldin

Published Oct 16, 2026• 0 citations
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Abstract

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 \(U \in \{I, X, Z, XZ\}\) applied conditionally. Fidelity \(F = |\langle \psi_{\text{in}} | \psi_{\text{out}} \rangle|^2\) approaches 1 in ideal case; distance record 1,400 km via satellite (Micius) — no new fundamental constant, but scaling law for entanglement distribution: \(P_{\text{success}} \propto e^{-\alpha L}\) (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 \(I(A:C|B)\) and energy bound \(\langle E \rangle \geq - \frac{1}{\beta} I(A:C|B)\) (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

DOI
10.5281/zenodo.23409676

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FINDING: Quantum teleportation transmits quantum states (not matter) over distance via entanglement; recent work extends this to teleporting energy on superconducting hardware. | MATH: Core protocol uses Bell state measurement (BSM) — a projection onto maximally entangled basis: ∣Φ±⟩=12(∣00⟩±∣11⟩)|\Phi^\pm\rangle = \frac{1}{\sqrt{2}}(|00\rangle \pm |11\rangle)∣Φ±⟩=2​1​(∣00⟩±∣11⟩), ∣Ψ±⟩=12(∣01⟩±∣10⟩)|\Psi^\pm\rangle = \frac{1}{\sqrt{2}}(|01\rangle \pm |10\rangle)∣Ψ±⟩=2​1​(∣01⟩±∣10⟩). Teleportation fidelity F=⟨ψ∣ρout∣ψ⟩F = \langle\psi|\rho_{\text{out}}|\psi\rangleF=⟨ψ∣ρout​∣ψ⟩ — for ideal case F=1F=1F=1. Energy teleportation (arXiv:2301.02666) uses local operations and classical communication (LOCC) with a quantum energy inequality: ΔEA+ΔEB≥0\Delta E_A + \Delta E_B \geq 0ΔEA​+ΔEB​≥0 globally, but ΔEB<0\Delta E_B < 0ΔEB​<0 locally possible via negative energy density extracted from vacuum fluctuations — governed by the quantum energy condition (QEC) bound: ΔE≥−cL\Delta E \geq -\frac{c}{L}ΔE≥−Lc​ (where ccc is a constant, LLL the system size). | CONNECTION: The Bell basis coefficients 1/21/\sqrt{2}1/2​ relate Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
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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 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 ∣Φ+⟩=12(∣00⟩+∣11⟩)|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)∣Φ+⟩=2​1​(∣00⟩+∣11⟩), two classical bits (cbits) of communication, and one shared entangled pair per qubit teleported. Fidelity F=⟨ψin∣ρout∣ψin⟩F = \langle \psi_{\text{in}} | \rho_{\text{out}} | \psi_{\text{in}} \rangleF=⟨ψin​∣ρout​∣ψin​⟩ 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 ΔE=⟨HB⟩ρcond−⟨HB⟩ρ0\Delta E = \langle H_B \rangle_{\rho_{\text{cond}}} - \langle H_B \rangle_{\rho_0}ΔE=⟨HB​⟩ρcond​​−⟨HB​⟩ρ0​​, where HBH_BHB​ 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 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