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arXiv:2408.02905 · The European Physical Journal Plus

Quantum energy teleportation in phase space quantum mechanics

Mar Sánchez–Córdova, Jasel Berra–Montiel

Published Dec 17, 2024• 3 citations
arXivHTMLPDF
DOI
10.1140/epjp/s13360-024-05897-3

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Distinguishing non-local orders, including global and topological orders of states through solely local operations and classical communications (LOCC), is a highly non-trivial and challenging task since the topology of states is determined by the global characteristics of the many-body system, such as the system's symmetry and the topological space it is based on. Here, we report that we reproduced the phase diagram of Ising model and symmetry protected topological phases using the quantum energy teleportation protocol, which foresees non-trivial energy transfer between remote observers using the entanglement nature of the ground state and LOCC. The model we use includes the Haldane model, the AKLT model, and the Kitaev model. Therefore, our method paves a new general experimental framework to determine and quantify phase transitions in various condensed matter physics and statistical mechanics.
FINDING: Quantum teleportation transmits quantum states (not matter) via entanglement, with recent demonstrations extending to energy teleportation on superconducting hardware and earth-to-space distances up to 1,400 km. | MATH: Core formalism: Bell-state measurement (4 orthogonal maximally entangled states), classical communication of 2 bits (log₂4), unitary correction U ∈ {I, σₓ, σᵧ, σ_z}. Energy teleportation (arXiv:2301.02666v5) uses local operations and classical communication (LOCC) with Hamiltonian H = H_A + H_B + H_int; teleported energy ΔE = ⟨ψ|H_B|ψ⟩ − ⟨ψ|H_B|ψ⟩_local, requiring negative conditional energy in the entangled ground state. No new fundamental constants; relies on existing quantum mechanics. | CONNECTION: The 4 Bell states correspond to the Klein four-group (Z₂×Z₂), a finite subgroup of SU(2) — related to the quaternion group and the tetrahedral (A₄) symmetry. The 1,400 km distance and 2-bit classical overhead echo base-2 (not base-60) information geometry. No dir Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com