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Quantum Energy Teleportation Achieved on Superconducting Hardware via LOCC — E8 Intelligence Research

Andrew Stewart Caldin

Published Jul 27, 2026• 0 citations
Publisher

Abstract

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 \(\langle E \rangle = \langle \psi | H_B | \psi \rangle\) where \(H_B\) is the receiver's Hamiltonian, achieved via a two-qubit protocol with ground state entanglement. The protocol uses a unitary operation \(U_A(\theta)\) on sender's qubit (parameter \(\theta\) controlling energy extraction) and a conditional unitary \(U_B\) on receiver's qubit, with classical communication of measurement outcome. The energy gain is quantified by \(\Delta E = \langle \psi' | H_B | \psi' \rangle - \langle \psi_0 | H_B | \psi_0 \rangle > 0\) for optimal \(\theta\). | 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

DOI
10.5281/zenodo.21617498

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

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Quantum Energy Teleportation Demonstrated on Superconducting Hardware via LOCC — E8 Intelligence Research

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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 \( T_{00}(x) \) and its commutator with the Hamiltonian. Key inequality: \( \langle E \rangle_{\text{final}} < \langle E \rangle_{\text{initial}} \) for the receiver, enabled by negative energy density from the vacuum fluctuation suppression. The teleported energy \( \Delta E \) scales with the entanglement negativity \( \mathcal{N} \) and the coupling strength \( g \) of the measurement: \( \Delta E \propto g^2 \mathcal{N} \). 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

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Quantum Teleportation: States Over 1,400 km, Energy on Superconductors — E8 Intelligence Research

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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

•Aug 23, 2026•0 citations
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 (\langle E \rangle = \langle \psi | H_B | \psi \rangle) where (H_B) is the receiver's Hamiltonian, achieved via a two-qubit protocol with ground state entanglement. The protocol uses a unitary operation (U_A(\theta)) on sender's qubit (parameter (\theta) controlling energy extraction) and a conditional unitary (U_B) on receiver's qubit, with classical communication of measurement outcome. The energy gain is quantified by (\Delta E = \langle \psi' | H_B | \psi' \rangle - \langle \psi_0 | H_B | \psi_0 \rangle > 0) for optimal (\theta). | 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 readout breakthrough enables scalable entanglement networks. | MATH: QET protocol uses local operations and classical communication (LOCC) with energy extracted via conditional feedback: ⟨Hextracted⟩=∑ipi⟨ψi∣H∣ψi⟩−Eground \langle H_{\text{extracted}} \rangle = \sum_i p_i \langle \psi_i | H | \psi_i \rangle - E_{\text{ground}} ⟨Hextracted​⟩=∑i​pi​⟨ψi​∣H∣ψi​⟩−Eground​, where pi p_i pi​ are measurement probabilities. W-state: ∣W⟩=1N(∣100...0⟩+∣010...0⟩+...+∣000...1⟩) |W\rangle = \frac{1}{\sqrt{N}} (|100...0\rangle + |010...0\rangle + ... + |000...1\rangle) ∣W⟩=N​1​(∣100...0⟩+∣010...0⟩+...+∣000...1⟩), symmetric under permutation group SN S_N SN​. | CONNECTION: W-state symmetry corresponds to the AN−1 A_{N-1} AN−1​ root lattice (crystallographic), with equal-weight superposition reflecting the golden-ratio-free, uniform simplex geometry — but the QET energy gain ratio approaches ΔEElocal≈0.618 \frac{\Delta E}{E_{\text{local}}} \approx 0.618 Elocal​ΔE​≈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
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 teleportation has been experimentally verified for information (qubits) across distances up to satellite scale, and a new result demonstrates teleportation of *energy* (not just information) on superconducting hardware. | MATH: Core protocol uses Bell-state measurement (maximally entangled singlet/triplet states: ∣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⟩)), requiring 2 classical bits to transmit 1 qubit (no faster-than-light signaling; fidelity F→1F \to 1F→1 in ideal case). The energy teleportation result (arXiv:2301.02666) invokes local operations and classical communication (LOCC) with an energy extraction operator EA=12(I+σzA)E_A = \frac{1}{2}(I + \sigma_z^A)EA​=21​(I+σzA​) acting on the receiver after a conditional unitary UB=exp⁡(−iθσyB)U_B = \exp(-i\theta \sigma_y^B)UB​=exp(−iθσyB​), where θ\thetaθ is tuned to maximize extracted energy ⟨E⟩=ℏω2(1−cos⁡θ)\langle E \rangle = \frac{\hbar\omega}{2}(1 - \cos\theta)⟨E⟩=2ℏω​(1−cosθ) from the vacuum-like 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 quantum *states* (information), not matter; recent work extends this to teleporting *energy* (a physical quantity) on superconducting hardware. | MATH: Core protocol uses Bell-state measurement (BSM) and classical communication (2 bits) to transfer an unknown qubit state ∣ψ⟩=α∣0⟩+β∣1⟩|\psi\rangle = \alpha|0\rangle + \beta|1\rangle∣ψ⟩=α∣0⟩+β∣1⟩ via a shared entangled pair ∣Φ+⟩=12(∣00⟩+∣11⟩)|\Phi^+\rangle = \frac{1}{\sqrt{2}}(|00\rangle + |11\rangle)∣Φ+⟩=2​1​(∣00⟩+∣11⟩). Energy teleportation (arXiv:2301.02666) uses a local operation on one qubit of an entangled pair to extract energy from the vacuum/ground state, with the energy gain bounded by the entanglement entropy — quantified via the quantum conditional mutual information I(A:C∣B)I(A:C|B)I(A:C∣B) and the "quantum energy teleportation" protocol of Hotta, where the energy extracted ΔE\Delta EΔE satisfies ΔE≤kBT I(A:C∣B)\Delta E \leq k_B T \, I(A:C|B)ΔE≤kB​TI(A:C∣B) in thermal settings. | CONNECTION: The Bell state ∣Φ+⟩|\Phi^+\rangle∣Φ+⟩ encodes the ratio 1/2≈0.70711/\sqrt{2} \approx 0.70711/2​≈0.7071, whic 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