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Quantum Circuit Design Gate Engineering
No-Signalling Fixes the Hilbert-Space Inner Product
arXiv
Authors: Arun Kumar Pati
Year
2026
Paper ID
3639
Status
Preprint
Abstract Read
~2 min
Abstract Words
76
Citations
N/A
Abstract
We investigate whether the inner product structure of quantum mechanics can be modified without violating fundamental physical principles. We consider a generalized inner product defined by a positive operator and assume local unitary dynamics, existence of entangled states and the no-signalling principle. We show that any nontrivial choice of inner product different from standard one inevitably leads to superluminal signalling, in contradiction with relativistic causality. Therefore, the standard Hilbert-space inner product is uniquely enforced by no-signalling.
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- This paper contributes to the Quantum Circuit Design & Gate Engineering research area in the Quantum Articles archive.
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- We investigate whether the inner product structure of quantum mechanics can be modified without violating fundamental physical principles.
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