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This paper investigates the zero-error capacity of channels with memory. Motivated by the nuanced requirements of semantic communication that incorporate memory, we advance the classical enlightened dictator channel by introducing a new…

信息论 · 计算机科学 2024-11-21 Qi Cao , Yulin Shao , Shangwei Ge

Determining capacities of quantum channels is a fundamental question in quantum information theory. Despite having rigorous coding theorems quantifying the flow of information across quantum channels, their capacities are poorly understood…

量子物理 · 物理学 2023-06-14 Felix Leditzky , Debbie Leung , Vikesh Siddhu , Graeme Smith , John A. Smolin

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

We determine both the quantum and the private capacities of low-noise quantum channels to leading orders in the channel's distance to the perfect channel. It has been an open problem for more than 20 years to determine the capacities of…

量子物理 · 物理学 2023-12-06 Felix Leditzky , Debbie Leung , Graeme Smith

The super-additivity of quantum channel capacity is an important feature of quantum information theory different from classical theory, which has been attracting attention. Recently a special channel called ``platypus channel'' exhibits…

量子物理 · 物理学 2025-06-02 Zhen Wu , Qi Zhao , Zhihao Ma

If a sender and a receiver lack precise knowledge about the communication line that connects them, designing a scheme to reliably transmit information becomes more challenging. This has been studied in classical and quantum information…

量子物理 · 物理学 2024-08-27 Paula Belzig

The problem of characterising the zero-error capacity region for multiple access channels even in the noiseless case has remained an open problem for over three decades. Motivated by this challenging question, a recently developed theory of…

信息论 · 计算机科学 2019-10-29 Ghassen Zafzouf , Girish N. Nair , Jamie S. Evans

The quantum analog of the classical erasure channel provides a simple example of a channel whose asymptotic capacity for faithful transmission of intact quantum states, with and without the assistance of a two-way classical side channel,…

量子物理 · 物理学 2008-11-26 Charles H. Bennett , David P. DiVincenzo , John A. Smolin

We present an experimental method to detect lower bounds to the quantum capacity of two-qubit communication channels. We consider an implementation with polarisation degrees of freedom of two photons and report on the efficiency of such a…

Here, we study the capacity of a quantum channel, assuming linear optical encoding, as a function of available photons and optical modes. First, we observe that substantial improvement is made possible by not restricting ourselves to a…

量子物理 · 物理学 2015-08-12 Jake A. Smith , Dmitry B. Uskov , Lev Kaplan

In this work, we consider two-sender, one-receiver communication over a discrete memoryless multiple-access channel without feedback, where two senders may cooperate on channel coding by using preshared resources, such as shared randomness,…

量子物理 · 物理学 2026-04-28 Jiyoung Yun , Seung-Hyun Nam , Hyun-Young Park , Ashutosh Rai , Si-Hyeon Lee , Joonwoo Bae

The quantum channel decomposition techniques, which contain the so-called probabilistic error cancellation and gate/wire cutting, are powerful approach for simulating a hard-to-implement (or an ideal) unitary operation by concurrently…

量子物理 · 物理学 2023-08-30 Ryo Nagai , Shu Kanno , Yuki Sato , Naoki Yamamoto

The strong capacity of a particular channel can be interpreted as a sharp limit on the amount of information which can be transmitted reliably over that channel. To evaluate the strong capacity of a particular channel one must prove both…

量子物理 · 物理学 2011-10-20 Tony Dorlas , Ciara Morgan

The set of Multi-level Amplitude Damping (MAD) quantum channels is introduced as a generalization of the standard qubit Amplitude Damping Channel to quantum systems of finite dimension $d$. In the special case of $d=3$, by exploiting…

量子物理 · 物理学 2021-03-03 Stefano Chessa , Vittorio Giovannetti

Quantum communication relies on the existence of high quality quantum channels to exchange information. In practice, however, all communication links are affected by noise from the environment. Here we investigate the ability of quantum…

量子物理 · 物理学 2025-08-12 Vishal Singh , Mark M. Wilde

We analyze the quantum capacity of a unital quantum channel, using ideas from the proof of near-optimality of Petz recovery map [Barnum and Knill 2000] and give an upper bound on the quantum capacity in terms of regularized output $2$-norm…

量子物理 · 物理学 2018-03-07 Anurag Anshu

We study information transmission over a fully correlated amplitude damping channel acting on two qubits. We derive the single-shot classical channel capacity and show that entanglement is needed to achieve the channel best performance. We…

量子物理 · 物理学 2013-11-01 A. D'Arrigo , G. Benenti , G. Falci , C. Macchiavello

By considering quantum computation as a communication process, we relate its efficiency to a communication capacity. This formalism allows us to rederive lower bounds on the complexity of search algorithms. It also enables us to link the…

量子物理 · 物理学 2009-11-06 S. Bose , L. Rallan , V. Vedral

Estimating the information transmission capability of a quantum channel remains one of the fundamental problems in quantum information processing. In contrast to classical channels, the information-carrying capability of quantum channels is…

量子物理 · 物理学 2024-07-26 Aditya Nema , Ananda G. Maity , Sergii Strelchuk , David Elkouss

Quantum channels, pivotal in information processing, describe transformations within quantum systems and enable secure communication and error correction. Ergodic and mixing properties elucidate their behavior. In this paper, we establish a…

量子物理 · 物理学 2024-07-24 Abdessatar Souissi , Abdessatar Barhoumi