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We obtain continuity bounds for basic information characteristics of quantum channels depending on their input dimension (if it is finite) and on the input energy bound (if the input dimension is infinite). We pay a special attention to the…

量子物理 · 物理学 2021-09-28 M. E. Shirokov

Consider communication over a channel whose probabilistic model is completely unknown vector-wise and is not assumed to be stationary. Communication over such channels is challenging because knowing the past does not indicate anything about…

信息论 · 计算机科学 2013-03-21 Yuval Lomnitz , Meir Feder

We give a direct proof of the additivity of the minimum output entropy of a particular quantum channel which breaks the multiplicativity conjecture. This yields additivity of the classical capacity of this channel, a result obtained by a…

量子物理 · 物理学 2007-05-23 Nilanjana Datta , Alexander S. Holevo , Yuri M. Suhov

For all p > 1, we demonstrate the existence of quantum channels with non-multiplicative maximal output p-norms. Equivalently, for all p >1, the minimum output Renyi entropy of order p of a quantum channel is not additive. The violations…

量子物理 · 物理学 2012-07-06 Patrick Hayden , Andreas Winter

Motivated by a greedy approach for generating {\it{information stable}} processes, we prove a universal maximum likelihood (ML) upper bound on the capacities of discrete information stable channels, including the binary erasure channel…

信息论 · 计算机科学 2018-05-21 Tongxin Li

We generalise some well-known graph parameters to operator systems by considering their underlying quantum channels. In particular, we introduce the quantum complexity as the dimension of the smallest co-domain Hilbert space a quantum…

量子物理 · 物理学 2018-08-22 Rupert H. Levene , Vern I. Paulsen , Ivan G. Todorov

In this work we improve the quantum communication rates of various quantum channels of interest using permutation-invariant quantum codes. We focus in particular on parametrized families of quantum channels and aim to improve bounds on…

量子物理 · 物理学 2025-08-14 Sujeet Bhalerao , Felix Leditzky

The capacity of a classical-quantum channel (or in other words the classical capacity of a quantum channel) is considered in the most general setting, where no structural assumptions such as the stationary memoryless property are made on a…

量子物理 · 物理学 2016-11-17 Masahito Hayashi , Hiroshi Nagaoka

We propose an iterative method for approximating the capacity of classical-quantum channels with a discrete input alphabet and a finite dimensional output, possibly under additional constraints on the input distribution. Based on duality of…

量子物理 · 物理学 2016-01-22 David Sutter , Tobias Sutter , Peyman Mohajerin Esfahani , Renato Renner

The capacity of accelerated channel is investigated for different classes of initial states. It is shown that, the capacities of the travelling channels depend on the frame in which the accelerated channels are observed in and the initial…

量子物理 · 物理学 2014-02-04 N. Metwally , A. Sagheer

Classical communication capacity of a channel can be enhanced either through a device called a 'quantum switch' or by putting the channel in a quantum superposition. The gains in the two cases, although different, have their origin in the…

量子物理 · 物理学 2020-01-27 Nicolas Loizeau , Alexei Grinbaum

In quantum mechanics, a fundamental law prevents quantum communications to simultaneously achieve high rates and long distances. This limitation is well known for point-to-point protocols, where two parties are directly connected by a…

量子物理 · 物理学 2020-04-06 Stefano Pirandola

We prove that the classical capacity of an arbitrary quantum channel assisted by a free classical feedback channel is bounded from above by the maximum average output entropy of the quantum channel. As a consequence of this bound, we…

量子物理 · 物理学 2020-09-15 Dawei Ding , Yihui Quek , Peter W. Shor , Mark M. Wilde

We address the question of a quantum memory storage of quantum dynamics. In particular, we design an optimal protocol for $N\to 1$ probabilistic storage-and-retrieval of unitary channels on $d$-dimensional quantum systems. If we may access…

量子物理 · 物理学 2019-05-08 Michal Sedlák , Alessandro Bisio , Mário Ziman

This was significantly extended from the previous article quant-ph/9705043,especially in an information theoretic aspect, by adding new results.

量子物理 · 物理学 2009-10-31 Masahide Sasaki , Kentaro Kato , Masayuki Izutsu , Osamu Hirota

Several upper bounds on the size of quantum codes are derived using the linear programming approach. These bounds are strengthened for the linear quantum codes.

量子物理 · 物理学 2008-02-03 Alexei Ashikhmin , Simon Litsyn

A unified approach to prove the converses for the quantum channel capacity theorems is presented. These converses include the strong converse theorems for classical or quantum information transfer with error exponents and novel explicit…

量子物理 · 物理学 2013-03-14 Naresh Sharma , Naqueeb Ahmad Warsi

Losses in quantum communication lines severely affect the rates of reliable information transmission and are usually considered to be state-independent. However, the loss probability does depend on the system state in general, with the…

量子物理 · 物理学 2021-06-01 Sergey N. Filippov

A lower bound on the probability of decoding error of quantum communication channel is presented. The strong converse to the quantum channel coding theorem is shown immediately from the lower bound. It is the same as Arimoto's method exept…

量子物理 · 物理学 2016-11-17 Tomohiro Ogawa , Hiroshi Nagaoka

We present a method to detect lower bounds to the classical capacity of quantum communication channels by means of few local measurements (i.e. without complete process tomography), reconstruction of sets of conditional probabilities, and…

量子物理 · 物理学 2019-08-30 Chiara Macchiavello , Massimiliano F. Sacchi