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This research establishes that Hamiltonian phase state assumptions inherently imply the existence of one-way functions, thereby ruling out the feasibility of "Microcrypt" as a standalone post-quantum encryption scheme. While this closes a specific theoretical loophole for quantum-only cryptography, it simultaneously validates these states as robust resources for enhancing classical cryptographic systems through efficient puzzle verification. The findings clarify fundamental limits in leveraging specific quantum mechanical properties to bypass traditional computational hardness assumptions.

Sursă care acoperăQuantum Zeitgeist

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Quantum States Imply One-Way Functions, Blocking Route to Microcrypt Security

Quantum Zeitgeist17 septembrie 20264 min de cititArticolul și perspectiva sunt în engleză.

Instantiating Microcrypt once seemed possible without relying on conventional computational hardness, a potential shortcut around established cryptographic foundations. However, this work demonstrates that Hamiltonian Phase State assumptions necessitate the existence of one-way functions, effectively disproving that route. Instead, these quantum assumptions offer novel tools for building classical cryptography itself via efficient puzzle verification and simulation.

Cryptography requires one-way functions, mathematical problems simple to compute in one direction yet incredibly hard in reverse. If Hamiltonian phase state (HPS) assumptions are true and describe how these states generate randomness, then one-way functions also necessarily exist. Consequently, building cryptography called Microcrypt solely upon HPS assumptions is not possible; however, their potential for constructing classical cryptographic systems based on quantum principles remains. Building cryptography only on Hamiltonian phase states, patterns within quantum systems, necessitates the existence of one-way…

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