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A recent method to certify the classical capacity of quantum communication channels is applied for general damping channels in finite dimension. The method compares the mutual information obtained by coding on the computational and a…

量子物理 · 物理学 2020-10-23 Chiara Macchiavello , Massimiliano F. Sacchi , Tito Sacchi

We determine the optimal achievable rate at which entanglement can be reliably transmitted when the memoryless channel used during transmission is unknown both to sender and receiver. To be more precise, we assume that both of them only…

量子物理 · 物理学 2009-04-21 Igor Bjelakovic , Holger Boche , Janis Noetzel

We survey what is known about the information transmitting capacities of quantum channels, and give a proposal for how to calculate some of these capacities using linear programming.

量子物理 · 物理学 2007-05-23 P. W. Shor

The problem of identification over a discrete memoryless wiretap channel is examined under the criterion of semantic effective secrecy. This secrecy criterion guarantees both the requirement of semantic secrecy and of stealthy…

Due to Csiszar and Koerner, the private capacity of classical wiretap channels has a single-letter characterization in terms of the private information. For quantum wiretap channels, however, it is known that regularization of the private…

量子物理 · 物理学 2021-06-29 Arkin Tikku , Mario Berta , Joseph M. Renes

Quantum communication theory focuses on the study of quantum channels for transmitting quantum information, where the transmission rate is measured by quantum channel capacity. This quantity exhibits several intriguing properties, such as…

量子物理 · 物理学 2025-01-14 Changchun Zhong

Entangled inputs can enhance the capacity of quantum channels, this being one of the consequences of the celebrated result showing the non-additivity of several quantities relevant for quantum information science. In this work, we answer…

量子物理 · 物理学 2015-05-20 Fernando G. S. L. Brandao , Jens Eisert , Michal Horodecki , Dong Yang

Communication over a quantum broadcast channel with cooperation between the receivers is considered. The first form of cooperation addressed is classical conferencing, where Receiver 1 can send classical messages to Receiver 2. Another…

信息论 · 计算机科学 2021-06-18 Uzi Pereg , Christian Deppe , Holger Boche

The squashed entanglement of a quantum channel is an additive function of quantum channels, which finds application as an upper bound on the rate at which secret key and entanglement can be generated when using a quantum channel a large…

量子物理 · 物理学 2016-04-26 Kaushik P. Seshadreesan , Masahiro Takeoka , Mark M. Wilde

We consider secrecy obtained when one transmits on a Gaussian Wiretap channel above the secrecy capacity. Instead of equivocation, we consider probability of error as the criterion of secrecy. The usual channel codes are considered for…

信息论 · 计算机科学 2014-01-07 R. Rajesh , Shahid M. Shah , Vinod Sharma

We review in a unified way a recently proposed method to detect properties of unknown quantum channels and lower bounds to quantum capacities, without resorting to full quantum process tomography. The method is based on the preparation of a…

量子物理 · 物理学 2017-12-19 Chiara Macchiavello , Massimiliano F. Sacchi

We investigate the quantum capacity of noisy quantum channels which can be represented by coupling a system to an effectively small environment. A capacity formula is derived for all cases where both system and environment are…

量子物理 · 物理学 2009-11-13 Michael M. Wolf , David Perez-Garcia

We consider the private classical capacity of a quantum wiretap channel, where the users (sender Alice, receiver Bob, and eavesdropper Eve) have access to the resource of a shared quantum state, additionally to their channel inputs and…

量子物理 · 物理学 2024-09-25 Minglai Cai , Andreas Winter

We study the problem of communication over a compound quantum channel in the presence of entanglement. Classically such channels are modeled as a collection of conditional probability distributions wherein neither the sender nor the…

量子物理 · 物理学 2019-03-19 Anurag Anshu , Rahul Jain , Naqueeb Ahmad Warsi

We derive the general formula for the capacity of a noiseless quantum channel assisted by an arbitrary amount of noisy entanglement. In this capacity formula, the ratio of the quantum mutual information and the von Neumann entropy of the…

量子物理 · 物理学 2007-05-23 Michal Horodecki , Pawel Horodecki , Ryszard Horodecki , Debbie Leung , Barbara Terhal

In this thesis we analyse the type of states and ensembles which achieve the capacity for certain quantum channels carrying classical information. We first concentrate on the product-state capacity of a particular quantum channel, that is,…

量子物理 · 物理学 2010-07-19 Ciara Morgan

The design of error-correcting codes used in modern communications relies on information theory to quantify the capacity of a noisy channel to send information [1]. This capacity can be expressed using the mutual information between input…

量子物理 · 物理学 2019-07-17 M. B. Hastings

Quantum information processing exploits the quantum nature of information. It offers fundamentally new solutions in the field of computer science and extends the possibilities to a level that cannot be imagined in classical communication…

量子物理 · 物理学 2018-01-09 Laszlo Gyongyosi , Sandor Imre , Hung Viet Nguyen

The optimal rate of reliable communication over a quantum channel can be enhanced by pre-shared entanglement. Whereas the enhancement may be unbounded in infinite-dimensional settings even when the input power is constrained, a…

This paper investigates the maximal secrecy rate over a wiretap channel subject to reliability and secrecy constraints at a given blocklength. New achievability and converse bounds are derived, which are shown to be tighter than existing…

信息论 · 计算机科学 2016-01-25 Wei Yang , Rafael F. Schaefer , H. Vincent Poor