Conservative Motion Theory – PNP VI The Quantum–Superconservative Barrier: Why BQP Cannot Be Extended Beyond BQP

Kawasaki, Hideyo

Published Nov 20, 2025• 0 citations

Abstract

We prove that quantum computation, modeled as unitary conservative motion withinConservative Motion Theory (CMT), has an intrinsic and non-extendable upper boundary.Any attempt to enlarge BQP—such as PostBQP, QMA, or hypothetical super-quantummodels—requires superconservative operators with Fredholm mass strictly exceeding that ofany unitary evolution.Such operators violate conservation of entropy, rank spectrum, and Hilbert–Schmidtinvariants, and therefore cannot arise from any physically realizable quantum dynamics.BQP is the maximal physically possible class.Thus the quantum–superconservative barrier is absolute: quantum computation cannotbe extended into the non-conservative or superconservative regimes without breakingfundamental physical laws.

DOI: 10.5281/zenodo.17659004

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