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What is Strict Hierarchy For Quantum Channel Certification To Unitary about?
This paper addresses the problem of quantum channel certification to unitary, presenting optimal quantum algorithms for three access models: incoherent, coherent, and source-code access. The authors establish a strict hierarchy of query complexities, demonstrating that Θ(d/ε²) queries are required for incoherent access, Θ(d/ε) for coherent access, and Θ(√(d/ε)) for source-code access. These results provide a comprehensive characterization of the complexities involved in certifying an unknown quantum channel
- Author
- akilmoussa404
- Language
- EN