Multiplicativity of maximal p-norms in Werner-Holevo channels for 1 ≤ p

نویسنده

  • Nilanjana Datta
چکیده

Recently, King and Ruskai [1] conjectured that the maximal p–norm of the Werner– Holevo channel is multiplicative for all 1 ≤ p ≤ 2. In this paper we prove this conjecture. Our proof relies on certain convexity and monotonicity properties of the p–norm.

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

An application of decomposable maps in proving multiplicativity of low dimensional maps

In this paper we present a class of maps for which the multiplicativity of the maximal output p-norm holds for p = 2 and p ≥ 4. This result is a slight generalization of the corresponding result in [9]. The class includes all positive trace-preserving maps from B(C3) to B(C2). Interestingly, by contrast, the multiplicativity of p-norm was investigated in the context of quantum information theor...

متن کامل

Some new additivity results on quantum channels

In this paper we introduce a lemma. This lemma states that for a unitary covariant channel Ψ and a channel M such that M(ρ0) is of rank one for some state ρ0 ∈ S(H) the additivity of the minimal output entropy of Ψ implies that of Ψ ◦M , and the multiplicativity of the maximal output p-norm of Ψ, that of Ψ ◦M . For the product channel of the depolarising channel and an arbitrary channel the add...

متن کامل

Additivity for Unital Qubit Channels

Additivity of the Holevo capacity is proved for product channels, under the condition that one of the channels is a unital qubit channel, with the other completely arbitrary. As a byproduct this proves that the Holevo bound is the ultimate information capacity of such qubit channels (assuming no prior entanglement between sender and receiver). Additivity of minimal entropy and multiplicativity ...

متن کامل

Lemma about Additivity and Some Variation of the Depolarising Channel

In this paper, we introduce two results. First we prove Lemma about the additivity and the multiplicativity. This Lemma states that for a unitary covariant channel Ψ and a channel M such that M(ρ0) is of rank one for some state ρ0 ∈ S(H) the additivity of the minimal output entropy of Ψ implies that of Ψ ◦ M , and the multiplicativity of the maximal output p-norm of Ψ, that of Ψ ◦M . Next we co...

متن کامل

Additivity for a class of unital qubit channels

Additivity of the Holevo capacity is proved for product channels, under the condition that one of the channels is in a certain class of unital qubit channels, with the other completely arbitrary. This qubit class includes the depolarizing channel. As a byproduct this proves that the Holevo bound is the ultimate information capacity of such qubit channels (assuming no prior entanglement between ...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008