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This paper extends the fundamental limits of quantum information theory by establishing a "no-conjugating theorem," proving that unknown arbitrary quantum states cannot be transformed via universal unitary operations. The work reinforces the structural constraints governing quantum mechanics, adding to the established suite of no-go theorems like no-cloning and no-deleting.
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Impossible to conjugate an unknown quantum state via a unitary evolution

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arXiv:2609.11536v1 Announce Type: new Abstract: The no-cloning theorem, the no-deleting theorem, the no-hiding theorem, the no-flip theorem, and the no-broadcasting play a crucial role in quantum mechanics and quantum information. In this paper, we propose the no-conjugating theorem which states that it is impossible to conjugate an unknown arbitrary quantum state via a universal physical device or linear/unitary operation.

Abstract:The no-cloning theorem, the no-deleting theorem, the no-hiding theorem, the no-flip theorem, and the no-broadcasting play a crucial role in quantum mechanics and quantum information. In this paper, we propose the no-conjugating theorem which states that it is impossible to conjugate an unknown arbitrary quantum state via a universal physical device or linear/unitary operation.

arXiv:2609.11536 [quant-ph]

(or arXiv:2609.11536v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.11536 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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