Zobrazeno 1 - 10
of 2 168
pro vyhledávání: '"Stein's lemma"'
Autor:
Lami, Ludovico
We solve the generalised quantum Stein's lemma, proving that the Stein exponent associated with entanglement testing, namely, the quantum hypothesis testing task of distinguishing between $n$ copies of an entangled state $\rho_{AB}$ and a generic sep
Externí odkaz:
http://arxiv.org/abs/2408.06410
Autor:
Hayashi, Masahito, Yamasaki, Hayata
The second law of thermodynamics is the cornerstone of physics, characterizing the convertibility between thermodynamic states through a single function, entropy. Given the universal applicability of thermodynamics, a fundamental question in quantum
Externí odkaz:
http://arxiv.org/abs/2408.02722
Autor:
Gao, Li, Rahaman, Mizanur
The quantum Stein's lemma is a fundamental result of quantum hypothesis testing in the context of distinguishing two quantum states. A recent conjecture, known as the ``generalized quantum Stein's lemma", asserts that this result is true in a general
Externí odkaz:
http://arxiv.org/abs/2401.03090
Autor:
Yamasaki, Hayata, Kuroiwa, Kohdai
[Note: After the first version of this manuscript was uploaded, the authors of [Berta, Brand\~ao, Gour, Lami, Plenio, Regula, and Tomamichel, Quantum 7, 1103 (2023)] pointed out an issue about a part of the claims in the previous version of [Bluhm, C
Externí odkaz:
http://arxiv.org/abs/2401.01926
Several recent methods for interpretability model feature interactions by looking at the Hessian of a neural network. This poses a challenge for ReLU networks, which are piecewise-linear and thus have a zero Hessian almost everywhere. We propose Smoo
Externí odkaz:
http://arxiv.org/abs/2311.00858
Autor:
Burnashev, Marat V.
The problem of testing two simple hypotheses in a general probability space is considered. For a fixed type-I error probability, the best exponential decay rate of the type-II error probability is investigated. In regular asymptotic cases (i.e., when
Externí odkaz:
http://arxiv.org/abs/2302.12684
Autor:
Tan, Linda S. L.
In stochastic variational inference, use of the reparametrization trick for the multivariate Gaussian gives rise to efficient updates for the mean and Cholesky factor of the covariance matrix, which depend on the first order derivative of the log joi
Externí odkaz:
http://arxiv.org/abs/2210.10566
Autor:
Mamis, Konstantinos
Publikováno v:
Examples and Counterexamples 2 (2022) 100077
We extend Stein's lemma for averages that explicitly contain the Gaussian random variable at a power. We present two proofs for this extension of Stein's lemma, with the first being a rigorous proof by mathematical induction. The alternative, second
Externí odkaz:
http://arxiv.org/abs/2201.12711
Autor:
Berta, Mario, Brandão, Fernando G. S. L., Gour, Gilad, Lami, Ludovico, Plenio, Martin B., Regula, Bartosz, Tomamichel, Marco
Publikováno v:
Quantum 7, 1103 (2023)
We show that the proof of the generalised quantum Stein's lemma [Brand\~ao & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument leading to Lemma III.9. Hence, the main achievability result of Brand\~ao & Plenio i
Externí odkaz:
http://arxiv.org/abs/2205.02813
Autor:
Mamis, Konstantinos
We prove a formula for the evaluation of expectations containing a scalar function of a Gaussian random vector multiplied by a product of the random vector components, each one raised at a non-negative integer power. Some powers could be of zeroth-or
Externí odkaz:
http://arxiv.org/abs/2202.00189