1 citations · 1 across the 7 of their papers we have counts for
8 papers
Exact Posterior Prediction from Product Haar Measurements and a Randomized-Mesh Maximum-Likelihood Bridge
Naqueeb Ahmad Warsi, Ayanava Dasgupta, Masahito Hayashi
We study prediction of one unmeasured copy of an unknown finite-dimensional pure quantum state after independently measuring the observed copies with the one-copy Haar POVM. For th…
Haar-Bayesian Pure-State Prediction under Relative-Entropy Loss: Arbitrary-Effect Reduction and Global Optimality
Masahito Hayashi, Ayanava Dasgupta, Naqueeb Ahmad Warsi
We study Haar-Bayesian prediction of one unmeasured copy of an unknown finite-dimensional pure quantum state after an arbitrary collective measurement on observed copies. Perfo…
Uniqueness, Cramér-Rao Efficiency and Concentration Bounds for Quantum U-Statistics
Ayanava Dasgupta, Naqueeb Ahmad Warsi, Premanshu Chatterjee
We study unbiased estimation of scalar-valued polynomial functionals of quantum states from independent copies. We establish an equivalence between the first-order marginal of a pe…
Privacy Implies Stability: Information-Theoretic Generalization Bounds for Quantum Learning
Ayanava Dasgupta, Naqueeb Ahmad Warsi, Masahito Hayashi
We develop an information-theoretic framework connecting stability, privacy, and generalization for quantum learning algorithms. Learning procedures are modeled as quantum instrume…
Quantum Information Ordering and Differential Privacy
Naqueeb Ahmad Warsi, Ayanava Dasgupta, Masahito Hayashi
We study quantum differential privacy (QDP) by defining a notion of the order of informativeness between two pairs of quantum states. In particular, we show that if the hypothesis…
Generalization Bounds for Quantum Learning via Rényi Divergences
Naqueeb Ahmad Warsi, Ayanava Dasgupta, Masahito Hayashi
This work advances the theoretical understanding of quantum learning by establishing a new family of upper bounds on the expected generalization error of quantum learning algorithm…
Universal tester for multiple independence testing and classical-quantum arbitrarily varying multiple access channel
Ayanava Dasgupta, Naqueeb Ahmad Warsi, Masahito Hayashi
We study two kinds of different problems. One is the multiple independence testing, which can be considered as a kind of generalization of quantum Stein's lemma. We test whether th…
Intersection and union of subspaces with applications to communication over authenticated classical-quantum channels and composite hypothesis testing
Naqueeb Ahmad Warsi, Ayanava Dasgupta
In information theory, we often use intersection and union of the typical sets to analyze various communication problems. However, in the quantum setting it is not very clear how t…