Relative entropy convergence for depolarizing channels
نویسندگان
چکیده
منابع مشابه
A note on inequalities for Tsallis relative operator entropy
In this short note, we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy, {em Math. Inequal. Appl.} {18} (2015), no. 2, 401--406]. Meanwhile, we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...
متن کاملComplementarity and additivity for depolarizing channels
In this paper we use the method of the paper [10] to compute complementary channels for certain important cases, such as depolarizing and transpose-depolarizing channels. This method allows us to easily obtain the minimal Kraus representations from non–minimal ones. We also study the properties of the output purity of the tensor product of a channel and its complement.
متن کاملMeasuring convergence in language model estimation using relative entropy
Language models are generally estimated using smoothed counting techniques. These counting schemes can be viewed as non linear functions operating on a Bernoulli process which converge asymptotically to the true density. The rate at which these counting schemes converge to the true density is constrained by the training data set available and the nature of the language model (LM) being estimate...
متن کاملTeleportation as a depolarizing quantum channel, relative entropy, and classical capacity.
We show that standard teleportation with an arbitrary mixed state resource is equivalent to a generalized depolarizing channel with probabilities given by the maximally entangled components of the resource. This enables the usage of any quantum channel as a generalized depolarizing channel without additional twirling operations. It also provides a nontrivial upper bound on the entanglement of a...
متن کاملInequalities for Quantum Relative Entropy
Some logarithmic trace inequalities involving the notions of relative entropy are reobtained from a log-majorization result. The thermodynamic inequality is generalized and a chain of equivalent statements involving this inequality and the Peierls-Bogoliubov inequality is obtained.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2016
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4939560