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We investigate the classical capacity of two quantum channels with memory: a periodic channel with depolarizing channel branches, and a convex combination of depolarizing channels. We prove that the capacity is additive in both cases. As a…

量子物理 · 物理学 2009-11-13 Tony Dorlas , Ciara Morgan

The maximum rates for information transmission through noisy quantum channels has primarily been developed for memoryless channels, where the noise on each transmitted state is treated as independent. Many real world communication channels…

量子物理 · 物理学 2009-11-10 Garry Bowen , Igor Devetak , Stefano Mancini

The optimal rate at which information can be sent through a quantum channel when the transmitted signal must simultaneously carry some minimum amount of energy is characterized. To do so, we introduce the quantum-classical analogue of the…

量子物理 · 物理学 2025-01-10 Bishal Kumar Das , Lav R. Varshney , Vaibhav Madhok

For any quantum discrete memoryless channel, we define a quantity called quantum entanglement capacity with classical feedback ($E_B$), and we show that this quantity lies between two other well-studied quantities. These two quantities -…

量子物理 · 物理学 2009-11-13 Alan W. Leung

Prior entanglement between sender and receiver, which exactly doubles the classical capacity of a noiseless quantum channel, can increase the classical capacity of some noisy quantum channels by an arbitrarily large constant factor…

量子物理 · 物理学 2009-01-23 Charles H. Bennett , Peter W. Shor , John A. Smolin , Ashish V. Thapliyal

Finding the optimal encoding strategies can be challenging for communication using quantum channels, as classical and quantum capacities may be superadditive. Entanglement assistance can often simplify this task, as the…

量子物理 · 物理学 2017-08-01 Elton Yechao Zhu , Quntao Zhuang , Peter W. Shor

The entanglement-assisted classical capacity of a quantum channel is known to provide the formal quantum generalization of Shannon's classical channel capacity theorem, in the sense that it admits a single-letter characterization in terms…

量子物理 · 物理学 2016-05-31 Nilanjana Datta , Marco Tomamichel , Mark M. Wilde

We consider a setting where a stream of qubits is processed sequentially. We derive fundamental limits on the rate at which classical information can be transmitted using qubits that decohere as they wait to be processed. Specifically, we…

信息论 · 计算机科学 2020-08-11 Prabha Mandayam , Krishna Jagannathan , Avhishek Chatterjee

In Shannon information theory the capacity of a memoryless communication channel cannot be increased by the use of feedback from receiver to sender. In this paper the use of classical feedback is shown to provide no increase in the…

量子物理 · 物理学 2007-05-23 Garry Bowen , Rajagopal Nagarajan

We present some of the peculiar dynamics of two simple sans-entanglement quantum communication channels in a digestible form. Specifically, we contrast the classical gaussian additive channel to its quantum analogue and find that the…

量子物理 · 物理学 2024-06-18 Miles Miller-Dickson , Christopher Rose

Recently there has been considerable activity on the subject of additivity of various quantum channel capacities. Here, we construct a family of channels with sharply bounded classical, hence private capacity. On the other hand, their…

量子物理 · 物理学 2017-08-01 Ke Li , Andreas Winter , XuBo Zou , GuangCan Guo

We consider communication between two parties using a bipartite quantum operation, which constitutes the most general quantum mechanical model of two-party communication. We primarily focus on the simultaneous forward and backward…

量子物理 · 物理学 2014-11-18 Andrew M. Childs , Debbie W. Leung , Hoi-Kwong Lo

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

We present a general model for quantum channels with memory, and show that it is sufficiently general to encompass all causal automata: any quantum process in which outputs up to some time t do not depend on inputs at times t' > t can be…

量子物理 · 物理学 2009-11-11 Dennis Kretschmann , Reinhard F. Werner

We consider classical message transmission under entanglement assistance for compound memoryless and arbitrarily varying quantum channels. In both cases, we prove general coding theorems together with corresponding weak converse bounds. In…

量子物理 · 物理学 2017-01-27 Holger Boche , Gisbert Janßen , Stephan Kaltenstadler

We discuss concepts of message identification in the sense of Ahlswede and Dueck via general quantum channels, extending investigations for classical channels, initial work for classical-quantum (cq) channels and "quantum fingerprinting".…

量子物理 · 物理学 2016-09-08 Andreas Winter

Passive environment assisted communication takes place via a quantum channel modeled as a unitary interaction between the information carrying system and an environment, where the latter is controlled by a passive helper, who can set its…

量子物理 · 物理学 2021-12-28 Samad Khabbazi Oskouei , Stefano Mancini , Andreas Winter

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 2012-10-02 Laszlo Gyongyosi , Sandor Imre

We study entanglement-assisted quantum and classical communication over a single use of a quantum channel, which itself can correspond to a finite number of uses of a channel with arbitrarily correlated noise. We obtain characterizations of…

量子物理 · 物理学 2013-06-20 Nilanjana Datta , Min-Hsiu Hsieh

Noisy quantum channels may be used in many information carrying applications. We show that different applications may result in different channel capacities. Upper bounds on several of these capacities are proved. These bounds are based on…

量子物理 · 物理学 2009-10-30 Howard Barnum , M. A. Nielsen , Benjamin Schumacher