Entanglement-informed distributed wavefunction approach to scalable quantum many-body systems

• URL: http://arxiv.org/abs/2605.07621v1
• Date: Fri, 08 May 2026 11:48:11 GMT
• Title: Entanglement-informed distributed wavefunction approach to scalable quantum many-body systems
• Abstract summary: We show that the entanglement structure of quantum many-body states defines a natural and optimal distributed representation for their simulation.<n>We identify entanglement spectrum fragmentation as a key factor controlling computational cost.<n>This establishes entanglement as an organizing principle and unified, method-independent, route for scaling up quantum many-body simulations.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We show that the entanglement structure of quantum many-body states defines a natural and optimal distributed representation for their simulation. An arbitrary entanglement cut induces a bipartite decomposition of the wavefunction, mapping its distribution onto that of the entanglement spectrum. In this representation the Hamiltonian application, the core of Krylov-subspace methods, reduces to local contractions and communication-optimal operations. Using benchmarks from different methods and models, we demonstrate near-linear scaling for sufficiently large systems and identify entanglement spectrum fragmentation as a key factor controlling computational cost. This establishes entanglement as an organizing principle and unified, method-independent, route for scaling up quantum many-body simulations.

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