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This paper considers the comparison of noisy channels from the viewpoint of statistical decision theory. Various orderings are discussed, all formalizing the idea that one channel is "better" than another for information transmission. The…

信息论 · 计算机科学 2018-03-09 Francesco Buscemi

We prove an upper bound on the private capacity of the single-mode noiseless bosonic wiretap channel. Combined with a previous lower bound, we obtain the low photon-number asymptotic expression for the private capacity. We then show that…

量子物理 · 物理学 2012-02-07 Ligong Wang , Jeffrey H. Shapiro , Nivedita Chandrasekaran , Gregory W. Wornell

This article provides an elementary introduction to Gaussian channels and their capacities. We review results on the classical, quantum, and entanglement assisted capacities and discuss related entropic quantities as well as additivity…

量子物理 · 物理学 2009-05-15 J. Eisert , M. M. Wolf

Minimum power required to achieve a distortion-noise profile, i.e., a function indicating the maximum allowed distortion value for each noise level, is studied for the transmission of Gaussian sources over Gaussian channels under a regime…

信息论 · 计算机科学 2020-01-22 Mohammadamin Baniasadi , Ertem Tuncel

We demonstrate superadditivity of one-shot zero-error classical capacity in an asymmetric communication setting where a noisy classical channel is used in parallel with a perfect quantum channel. Each channel individually supports only a…

量子物理 · 物理学 2026-02-10 Ambuj , Anushko Chattopadhyay , Kunika Agarwal , Rakesh Das , Amit Mukherjee

Quantum states naturally decay under noise. Many earlier works have quantified and demonstrated lower bounds on the decay rate, showing exponential decay in a wide variety of contexts. Here we study the converse question: are there uniform…

量子物理 · 物理学 2024-01-01 Nicholas Laracuente , Graeme Smith

We derive exact analytical expressions for the quantum capacity of a broad subclasses of generalized dephasing channels of the form $\Lambda(\rho)=(1-x)\rho + x D(\rho)$, where $D(\rho)$ represents a structured decoherence process. These…

量子物理 · 物理学 2025-11-26 Shayan Roofeh , Vahid Karimipour

We determine the p->q norms of the Gaussian one-mode quantum-limited attenuator and amplifier and prove that they are achieved by Gaussian states, extending to noncommutative probability the seminal theorem "Gaussian kernels have only…

数学物理 · 物理学 2018-08-07 Giacomo De Palma , Dario Trevisan , Vittorio Giovannetti

A long-standing problem on the classical capacity of bosonic Gaussian channels has recently been resolved by proving the minimum output entropy conjecture. It is also known that the ultimate capacity quantified by the Holevo bound can be…

量子物理 · 物理学 2015-05-07 Jaehak Lee , Se-Wan Ji , Jiyong Park , Hyunchul Nha

In this paper we introduce a way to quantify the noise level associated to a given quantum transformation. The key mechanism lying at the heart of the proposal is "noise addition": in other words we compute the amount of extra noise we need…

量子物理 · 物理学 2015-03-20 Antonella De Pasquale , Vittorio Giovannetti

Joint Gaussian measurements of two quantum systems can be used for quantum communication between remote parties, as in teleportation or entanglement swapping protocols. Many types of physical error sources throughout a protocol can be…

We develop several lower bounds on the capacity of binary input symmetric output channels with synchronization errors which also suffer from other types of impairments such as substitutions, erasures, additive white Gaussian noise (AWGN)…

信息论 · 计算机科学 2012-03-30 Mojtaba Rahmati , Tolga M. Duman

Bosonic modes have wide applications in various quantum technologies, such as optical photons for quantum communication, magnons in spin ensembles for quantum information storage and mechanical modes for reversible microwave-to-optical…

An analytically tractable model for Gaussian multiuser channels with fading is studied, and the capacity region of this model is found to be a good approximation of the capacity region of the original Gaussian network. This work extends the…

信息论 · 计算机科学 2009-05-16 Rony EL Haddad , Brian Smith , Sriram Vishwanath

Approximate degradability provides a powerful framework for bounding the quantum and private capacities of noisy quantum channels in regimes where exact degradability fails. While generic low-noise channels exhibit a non-degradability…

信息论 · 计算机科学 2026-02-02 Yun-Feng Lo , Yen-Chi Lee , Min-Hsiu Hsieh

Commitment is a key primitive which resides at the heart of several cryptographic protocols. Noisy channels can help realize information-theoretically secure commitment schemes, however, their imprecise statistical characterization can…

信息论 · 计算机科学 2023-05-15 Amitalok J. Budkuley , Pranav Joshi , Manideep Mamindlapally , Anuj Kumar Yadav

Unital quantum channels, defined by their property of leaving the maximally mixed state invariant, form an important class of quantum operations. A distinguished subset of these channels can be represented as a probabilistic mixture of…

量子物理 · 物理学 2026-03-19 Charlotte Bäcker , Konstantin Beyer , Walter T. Strunz

A formula is derived for the capacity of the Gaussian channel with a benevolent message-cognizant rate-limited helper that provides a noncausal description of the noise to the encoder and decoder. This capacity is strictly larger than when…

信息论 · 计算机科学 2023-10-25 Amos Lapidoth , Ligong Wang , Yiming Yan

It is proven that Gaussian operations are of no use for protecting Gaussian states against Gaussian errors in quantum communication protocols. Specifically, we introduce a new quantity characterizing any single-mode Gaussian channel, called…

量子物理 · 物理学 2009-04-09 Julien Niset , Jaromir Fiurasek , Nicolas J. Cerf

We characterise a class of environmental noises that decrease coherent properties of quantum channels by introducing and analysing the properties of dephasing superchannels. These are defined as superchannels that affect only non-classical…