Optimal algorithms achieve query complexities Θ(d/ε²) for incoherent access, Θ(d/ε) for coherent access, and Θ(√d/ε) for source-code access in quantum channel certification to unitary, exactly matching prior lower bounds.
Watrous.The Theory of Quantum Information
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An SDP-based framework computes optimal quantum cloning maps via Choi isomorphism, certifies optimality with duality, and extracts Kraus operators for universal, phase-covariant, asymmetric, and entanglement cloning including higher-order cases.
SILMARILS is a new information-theoretic and quantum-secure transferable designated-verifier signature scheme constructed from Shamir secret sharing, with EUF-CMA^¬DV security proofs in ROM and QROM plus statistical security in the three-party case.
A framework computes reduced dynamical maps for finite-temperature vibronic models via a single thermofield-doubled unitary evolution represented as a Choi matrix and propagated with tensor trains, applied to exciton transfer in the Fenna-Matthews-Olson complex.
Periodic properties of quantum channel sequences from ergodic processes are related to global spectral data via a Perron-Frobenius-type theorem.
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.
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Strict Hierarchy for Quantum Channel Certification to Unitary
Optimal algorithms achieve query complexities Θ(d/ε²) for incoherent access, Θ(d/ε) for coherent access, and Θ(√d/ε) for source-code access in quantum channel certification to unitary, exactly matching prior lower bounds.
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Semidefinite Programming for Optimal Quantum Cloning: A Computational Framework
An SDP-based framework computes optimal quantum cloning maps via Choi isomorphism, certifies optimality with duality, and extracts Kraus operators for universal, phase-covariant, asymmetric, and entanglement cloning including higher-order cases.
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SILMARILS: Information-Theoretic and Quantum-Secure Designated-Verifier Signatures
SILMARILS is a new information-theoretic and quantum-secure transferable designated-verifier signature scheme constructed from Shamir secret sharing, with EUF-CMA^¬DV security proofs in ROM and QROM plus statistical security in the three-party case.
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Reduced Dynamical Maps in Finite Temperature Vibronic Coupling Models via Choi Matrices: Numerical Methods and Applications
A framework computes reduced dynamical maps for finite-temperature vibronic models via a single thermofield-doubled unitary evolution represented as a Choi matrix and propagated with tensor trains, applied to exciton transfer in the Fenna-Matthews-Olson complex.
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Periodicity in Ergodic Quantum Processes
Periodic properties of quantum channel sequences from ergodic processes are related to global spectral data via a Perron-Frobenius-type theorem.
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Quantum Dynamics in Krylov Space: Methods and Applications
Krylov subspace methods efficiently describe quantum evolution, operator growth, and chaos in many-body systems, with metrics like Krylov complexity and applications in open systems, QFT, and quantum computing.