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arXiv:2505.01863

Quantum Energy Teleportation across Multi-Qubit Systems using W-State Entanglement

Alif Elham Khan, Humayra Anjum, Mahdy Rahman Chowdhury

Published May 3, 2025• 0 citations
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Abstract

Quantum-energy teleportation (QET) has so far only been realised on a two-qubit platform. Real-world communication, however, typically involves multiple parties. Here we design and experimentally demonstrate the first multi-qubit QET protocol using a robust W-state multipartite entanglement. Three-, four- and five-qubit circuits were executed both on noiseless simulators and on IBM superconducting hardware. In every case a single sender injects an energy E0 that is then deterministically and decrementally harvested by several remote receivers, confirming that energy introduced at one node can be redistributed among many entangled subsystems at light-speed-limited classical latency. Our results open a practical route toward energy-aware quantum networks.

DOI
10.48550/arxiv.2505.01863

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Quantum-energy teleportation (QET) has so far only been realised on a two-qubit platform. Real-world communication, however, typically involves multiple parties. Here we design and experimentally demonstrate the first multi-qubit QET protocol using a robust W-state multipartite entanglement. Three-, four- and five-qubit circuits were executed both on noiseless simulators and on IBM superconducting hardware. In every case a single sender injects an energy E0 that is then deterministically and decrementally harvested by several remote receivers, confirming that energy introduced at one node can be redistributed among many entangled subsystems at light-speed-limited classical latency. Our results open a practical route toward energy-aware quantum networks.
Quantum Energy Teleportation (QET) exploits quantum entanglement and local operations with classical communication (LOCC) to transfer energy between distant locations without physically transporting the energy carrier. Previous demonstrations on superconducting hardware employed a two-qubit architecture and achieved a work extraction efficiency of approximately 11.7%. In this work, we propose a three-qubit QET protocol based on a novel Ising-model Hamiltonian satisfying the zero-mean-energy condition and the commutation and anti-commutation constraints required for QET. We investigate two complementary protocols. In the Single-Input Multiple-Output (SIMO) configuration, a single sender injects energy while two receivers jointly extract negative energy. Retaining all interaction terms, including the inter-receiver coupling, yields an honest work extraction efficiency of approximately 8--10%, comparable to the two-qubit implementation while distributing the extracted energy across two receivers. In the Multiple-Input Single-Output (MISO) configuration, two senders jointly inject energy through a single entangle-then-measure operation, and one receiver extracts the teleported energy. After subtracting the energy deposited directly into the receiver by the entangling operation, the net teleportation efficiency reaches 34--42%, substantially exceeding the two-qubit protocol while remaining consistent with energy conservation. These results show that extending QET to a three-qubit many-body system can significantly improve teleportation efficiency and provide a framework for studying energy transport, negative-energy distributions, and more complex quantum many-body dynamics.
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
ABSTRACT Quantum Energy Teleportation (QET) leverages quantum entanglement to transfer energy between two distant locations without physically moving it. The first realization of QET on superconducting hardware, a 2‐qubit system, demonstrated about work efficiency (work relative to the deposited energy). Here we introduce a 3‐qubit approach that enhances QET's energy efficiency through a novel 3‐qubit ground state Ising Model Hamiltonian satisfying zero mean energy and anti‐commutation constraints on the sender and receiver observables. We study two protocols. In the Single‐Input Multiple‐Output (SIMO) model, a single sender (Alice) deposits energy and two receivers (Bob and Charlie) jointly extract negative energy; with every interaction term retained, including the inter‐receiver bond, the honest efficiency is to , comparable to the of the minimal 2‐qubit model but now shared by two outputs. In the Multiple‐Input Single‐Output (MISO) model, two senders (Alice and Charlie) deposit a combined energy through a single entangle‐then‐measure measurement and a single receiver (Bob) extracts it, giving a net teleportation efficiency of to , well above the 2‐qubit value, with energy conservation respected. The negative energy density at the receiver is the protocol's signature.
FINDING: Quantum energy teleportation (QET) demonstrated on superconducting hardware; single-photon double-slit confirms wavefunction collapse; W-state entanglement (3+ qubits) achieved for network teleportation. MATH: - QET uses local operations and classical communication (LOCC) with an energy gap ΔE=⟨H⟩final−⟨H⟩initial<0 \Delta E = \langle H \rangle_{\text{final}} - \langle H \rangle_{\text{initial}} < 0 ΔE=⟨H⟩final​−⟨H⟩initial​<0 for the receiver, enabled by negative energy density from vacuum entanglement. Key operator: e−iHt e^{-iH t} e−iHt with H=∑iωσz(i)+g∑⟨i,j⟩(σx(i)σx(j)+σy(i)σy(j)) H = \sum_i \omega \sigma_z^{(i)} + g \sum_{\langle i,j \rangle} (\sigma_x^{(i)}\sigma_x^{(j)} + \sigma_y^{(i)}\sigma_y^{(j)}) H=∑i​ωσz(i)​+g∑⟨i,j⟩​(σx(i)​σx(j)​+σy(i)​σy(j)​). - 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 qubit permutation, normalization 1/N 1/\sqrt{N} 1/N​. - Double-slit with single photons: probability P(x)=∣ψ1(x)+ψ2(x)∣2=∣ψ1∣2+∣ψ2∣2+2∣ψ1∣∣ψ2∣cos⁡(Δϕ) P(x) = |\psi_1(x) + \psi_2(x)|^2 = |\psi_1|^2 + |\psi_2|^2 + 2|\psi_1||\psi_2|\cos(\Delta \phi) P(x)=∣ψ1​(x)+ψ2​(x)∣2=∣ψ1​∣2+∣ψ2​∣2+2∣ψ1​∣∣ψ2​∣cos(Δϕ), where \( \Delta \phi = 2\p 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 generation breakthrough; Nobel 2025 for macroscopic quantum coherence in superconducting circuits. | MATH: QET protocol uses local operations and classical communication (LOCC) with energy extracted via a two-point measurement; key quantity is the *entanglement of formation* EF(ρ) E_F(\rho) EF​(ρ) and the *quantum mutual information* I(A:B)=S(A)+S(B)−S(AB) I(A:B) = S(A)+S(B)-S(AB) I(A:B)=S(A)+S(B)−S(AB). For 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⟩) — symmetric under cyclic permutation C3 C_3 C3​. Energy teleportation gain ΔE=⟨HB⟩after−⟨HB⟩before>0 \Delta E = \langle H_B \rangle_{\text{after}} - \langle H_B \rangle_{\text{before}} > 0 ΔE=⟨HB​⟩after​−⟨HB​⟩before​>0 requires ΔE∝ℏω2(1−1−4∣γ∣2) \Delta E \propto \frac{\hbar \omega}{2} (1 - \sqrt{1 - 4|\gamma|^2}) ΔE∝2ℏω​(1−1−4∣γ∣2​) where γ \gamma γ is the correlation amplitude. | CONNECTION: The W-state's 1/3 1/\sqrt{3} 1/3​ normalization and C3 C_3 C3​ cyclic symmetry maps directly to the **triangular lattice** (root s Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com
We establish a novel quantum protocol called Timelike Quantum Energy Teleportation (TQET) between two separated parties AAA and BBB, designed for transporting quantum energy across spacetime. The amount of energy gained through TQET is always greater than or equal to that obtained via natural time evolution for any spin chain where AAA and BBB are distinguishable. This protocol uses temporal and spatial quantum correlations between agents separated by space and time. The energy supplier injects energy into the system by measuring the ground state of a many-body system that evolves over time, while the distant recipient performs a conditional operation using feedback from the supplier. When Bob acts immediately after receiving Alice's outcome, the protocol reduces to conventional QET. We present a proof-of-concept demonstration in the Ising model using quantum simulations. TQET increases energy efficiency from approximately 3\% to around 40\%, representing over a 13-fold improvement compared to QET. Furthermore, we analyzed the relationship between entanglement in time and TQET, validating the role of temporal correlations in energy activation between agents across spacetime.