Superadditivity of Quantum Relative Entropy for General States

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Inequalities 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 کامل

General immunity and superadditivity of two-way Gaussian quantum cryptography.

We consider two-way continuous-variable quantum key distribution, studying its security against general eavesdropping strategies. Assuming the asymptotic limit of many signals exchanged, we prove that two-way Gaussian protocols are immune to coherent attacks. More precisely we show the general superadditivity of the two-way security thresholds, which are proven to be higher than the correspondi...

متن کامل

Quantum Dynamical Entropy from Relative entropy

In this exposition we prove an existence theorem for a quantum mechanical dynamical entropy based on von-Neumann’s measurement theory. To that end we introduced a Shannon type of information associated with a quantum channel or measurement based on Araki’s relative entropy. This is an invariance for the dynamics which generalizes Kolmogorov-Sinai ’s notion of dynamical entropy of a measure pres...

متن کامل

A general minimax result for relative entropy

Suppose Nature picks a probability measure P on a complete separable metric space X at random from a measurable set P fP g Then without knowing a statistician picks a measure Q on X Finally the statistician su ers a loss D P jjQ the relative entropy between P and Q We show that the minimax and maximin values of this game are always equal and there is always a minimax strategy in the closure of ...

متن کامل

Asymptotic Attainment for Quantum Relative Entropy

It was proved that quantum relative entropy D(k) is attained by a certain sequence of measurements which is independent of. This formula is thought to be important for the quantum asymptotic detection and the quantum asymptotic estimation. To know the quantum asymptotic estimation, see [13]. The constructions of these applications are, however, left for future study. Acknowledgments I wish to t...

متن کامل

ذخیره 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: IEEE Transactions on Information Theory

سال: 2018

ISSN: 0018-9448,1557-9654

DOI: 10.1109/tit.2017.2772800