Formulates Wilsonian renormalization group as quantum channels, establishing resource-theoretic monotones that unify UV-IR information loss across quantum systems without requiring momentum-space factorization.
@informaq.bsky.social
@informaq.bsky.socialFormulates Wilsonian renormalization group as quantum channels, establishing resource-theoretic monotones that unify UV-IR information loss across quantum systems without requiring momentum-space factorization.
@informaq.bsky.socialProves optimal error exponents for quantum channel discrimination equal regularized Umegaki relative entropy, with trace-preserving approximations and applications to quantum resource theories.
@informaq.bsky.socialProves continuity of regularized channel Rényi divergence at α=1, enabling computability of channel relative entropy and new results in quantum channel discrimination through novel spectral confinement techniques.
@informaq.bsky.socialProves midpoint placement of entanglement sources is optimal for all qubit channels through transpose-factorization methods and quantum Sinkhorn scaling, resolving a recent conjecture in quantum information theory.
@informaq.bsky.socialEstablishes unbounded two-use Holevo additivity gaps in finite quantum channels with explicit dimension bounds. Gap grows linearly with channel uses, proving entanglement provides arbitrarily large classical communication advantages.
@informaq.bsky.socialEstablishes exact tradeoff between bath dimension and initialization entropy for implementing quantum channels repeatedly in closed systems, characterizing achievable rate regions determined by entropy exchange and a smoothed extension cost metric.
@informaq.bsky.socialProves polynomial fidelity decay O(1/n) for codes exceeding capacity on pure-loss bosonic channels, establishing fundamental limits on quantum communication without energy constraints using quantum hypothesis testing methods.
@informaq.bsky.socialNew efficiently computable converse bound significantly improves classical capacity estimates for generalized amplitude-damping channels, nearly matching achievable rates at non-zero temperatures.
@informaq.bsky.socialResearchers developed a mathematical method with quadratic convergence for calculating optimal success probabilities in quantum communication, dramatically improving computational efficiency beyond previous inverse square root approaches.
@informaq.bsky.socialFundamental proof that information transmission over quantum channels fails exponentially above capacity. New integral representations of Rényi measures establish that channel capacity marks a sharp phase transition for reliable communication.