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February 27, 20260 citationsOpen Access

Working Quantum Fusion: A Conserved Entanglement Ledger, Unavoidable Closure to Λ, and Control-Complexity Scaling

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MCMelville ten Cate

Key Points

  • The research aims to provide a framework for understanding quantum fusion as a control-limited phenomenon, establishing foundational principles for entanglement metrics.
  • Developed a conserved entanglement ledger framework based on primary axioms.
  • Engineered a low-dimensional fusion pathway utilizing LOCC-conditioned protocols.
  • Validated protocols through tests involving on/off and randomized gates.
  • Defined and ranked a control-complexity measure concerning fusion cost and yield.
  • Established a rigidity condition that determines total fusion capacity and related metrics from first principles.
  • Successfully validated low-dimensional steering pathways through experimental protocol tests.
  • Identified a control-complexity figure of merit for assessing fusion families.

Abstract

This triad is a three-part, internally consistent program that treats fusion as an explicitly quantum, control-limited phenomenon and reports a working architecture consistent with that view. Paper I introduces a larger framework on a conserved entanglement ledger as a global quantity and derives an unavoidable closure/rigidity condition that fixes the total capacity, yielding Λ (and related Ω fractions) from first principles within the stated axioms rather than by observational fitting. Paper II describes a fusion pathway engineered for low-dimensional steering, where LOCC-conditioned protocols act as operational controls and the working of which has been validated in protocol-gated tests, using on/off and randomised gates in the workflow. Paper III defines a control-complexity figure of merit and ranks fusion families by scaling cost, linking achievable yield to the minimal steering burden.

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Cite This Study

Melville ten Cate (2026) studied this question.

synapsesocial.com/papers/69a1359eed1d949a99abfba6https://doi.org/10.5281/zenodo.18767223
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