Nontrivial bounds on extractable energy in quantum energy teleportation for gapped manybody systems with a unique ground state

• URL: http://arxiv.org/abs/2601.18718v1
• Date: Mon, 26 Jan 2026 17:41:31 GMT
• Title: Nontrivial bounds on extractable energy in quantum energy teleportation for gapped manybody systems with a unique ground state
• Authors: Taisanul Haque,
• Abstract summary: We establish a universal, exponentially decaying upper bound on the average energy that can be extracted in quantum energy teleportation protocols executed on finite-range gapped lattice systems possessing a unique ground state.<n>The bound is nonperturbative, explicit up to model-dependent constants, and follows from the variational characterization of the ground state combined with exponential clustering implied by the spectral gap.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We establish a universal, exponentially decaying upper bound on the average energy that can be extracted in quantum energy teleportation (QET) protocols executed on finite-range gapped lattice systems possessing a unique ground state. Under mild regularity assumptions on the Hamiltonian and uniform operator-norm bounds on the local measurement operators, there exist positive constants $C$ and $μ$ (determined by the spectral gap, interaction range and local operator norms) such that for any local measurement performed in a region $A$ and any outcome-dependent local unitaries implemented in a disjoint region $B$ separated by distance $d=\operatorname{dist}(A,B)$ one has $|E_A-E_B|\le C\,e^{-μd}.$ The bound is nonperturbative, explicit up to model-dependent constants, and follows from the variational characterization of the ground state combined with exponential clustering implied by the spectral gap.

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