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This paper addresses the critical challenge of verifying quantum advantage through classical means by introducing Clifford circuit obfuscation as a heuristic method to hide stabilizer structures while maintaining efficient verifiability. By injecting non-stabilizer resources that resist known classical simulation attacks, this approach offers a practical pathway toward demonstrating quantum supremacy without requiring stringent implementation constraints found in previous protocols.
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Classical Verification of Quantum Advantage via Clifford Obfuscation

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arXiv:2608.15963v1 Announce Type: new Abstract: Demonstrating quantum advantage in a manner that can be independently verified by classical means remains one of the most pressing open problems in quantum computing. Here we propose a new heuristic approach for constructing quantum circuits that are hard to classically simulate yet whose output distributions can be efficiently verified classically. Our approach is based on Clifford circuit obfuscation. This obfuscation scheme hides the Clifford structure and injects a controlled and rapidly growing non-stabilizer resources that resist known classical attack strategies including reverse engineering and direct simulation. Our protocol is heuristic but is supported by both numerical and theoretical evidence. This work provides a new avenue toward classically verifiable quantum advantage that avoids the stringent implementation requirements of known approaches.

Abstract:Demonstrating quantum advantage in a manner that can be independently verified by classical means remains one of the most pressing open problems in quantum computing. Here we propose a new heuristic approach for constructing quantum circuits that are hard to classically simulate yet whose output distributions can be efficiently verified classically. Our approach is based on Clifford circuit obfuscation. This obfuscation scheme hides the Clifford structure and injects a controlled and rapidly growing non-stabilizer resources that resist known classical attack strategies including reverse engineering and direct simulation. Our protocol is heuristic but is supported by both numerical and theoretical evidence. This work provides a new avenue toward classically verifiable quantum advantage that avoids the stringent implementation requirements of known approaches.

arXiv:2608.15963 [quant-ph]

(or arXiv:2608.15963v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.15963 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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