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, Cambridge University Press
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Proves unique stationary law for Clifford random monitored quantum circuits and computes leading asymptotics of steady magic, linear for odd-prime dimension mana and quadratic for qubit 2-stabilizer Rényi entropy.
Introduces forward-assisted purification via a new spatiotemporal framework that outperforms conventional static purification by up to 50x in copy efficiency and circumvents no-purification theorems for Bell states.
QML-PipeGuard is a framework for runtime behavioral fingerprinting of QML pipelines that absorbs benign drift while detecting adversarial channel substitution via informationally complete measurements.
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.
Linear Stabilizer Entropy serves as a proper non-stabilizerness monotone with overwhelming probability for non-adaptive Clifford channels on flat mixed stabilizer states, with violation probability decaying exponentially in system size.
In realistic E91 QKD networks, exponential decay of Bell correlations under loss and decoherence produces sparse operational entanglement graphs, yielding linear scaling of CHSH-usable pairs and Θ(N log N) authentication complexity under sparse-mixing assumptions.
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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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.