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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

We introduce a new set of quantum channels: resonant multilevel amplitude damping (ReMAD) channels. Among other instances, they can describe energy dissipation effects in multilevel atomic systems induced by the interaction with a…

量子物理 · 物理学 2023-01-25 Stefano Chessa , Vittorio Giovannetti

Quantum channel capacities give the fundamental performance limits for information flow over a communication channel. However, the prevalence of superadditivity is a major obstacle to understanding capacities, both quantitatively and…

量子物理 · 物理学 2025-09-10 Graeme Smith , Peixue Wu

The quantum capacity of degradable quantum channels has been proven to be additive. On the other hand, there is no general rule for the behavior of quantum capacity for non-degradable quantum channels. We introduce the set of partially…

量子物理 · 物理学 2016-11-15 Laszlo Gyongyosi

The primary objective of quantum Shannon theory is to evaluate the capacity of quantum channels. In spite of the existence of rigorous coding theorems that quantify the transmission of information through quantum channels, superadditivity…

量子物理 · 物理学 2024-01-17 Rajiuddin Sk , Prasanta K. Panigrahi

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 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

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

We investigate a quantum coding for quantum communication over a PD (partially degradable) degradable quantum channel. For a PD channel, the degraded environment state can be expressed from the channel output state up to a degrading map. PD…

量子物理 · 物理学 2016-11-18 Laszlo Gyongyosi

Quantum channel capacity is a fundamental quantity in order to understand how good can quantum information be transmitted or corrected when subjected to noise. However, it is generally not known how to compute such quantities, since the…

量子物理 · 物理学 2023-09-20 Josu Etxezarreta Martinez , Antonio deMarti iOlius , Pedro M. Crespo

Degradable quantum channels are among the only channels whose quantum and private classical capacities are known. As such, determining the structure of these channels is a pressing open question in quantum information theory. We give a…

量子物理 · 物理学 2009-11-13 Toby S. Cubitt , Mary-Beth Ruskai , 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

The quantum channel capacity gives the ultimate limit for the rate at which quantum data can be reliably transmitted through a noisy quantum channel. Degradable quantum channels are among the few channels whose quantum capacities are known.…

量子物理 · 物理学 2011-03-31 Markus Grassl , Zhengfeng Ji , Zhaohui Wei , Bei Zeng

We calculate the quantum capacity of an amplitude-damping channel with time correlated Markov noise, for two channel uses. Our results show that memory of the channel increases it's ability to transmit quantum information significantly. We…

量子物理 · 物理学 2017-07-03 Rabia Jahangir , Nigum Arshed , A. H. Toor

Quantum amplifier channels are at the core of several physical processes. Not only do they model the optical process of spontaneous parametric down-conversion, but the transformation corresponding to an amplifier channel also describes the…

量子物理 · 物理学 2017-02-02 Haoyu Qi , Mark M. Wilde

We introduce a new class of quantum channels, the Generalized Multilevel Amplitude Damping (GMAD) channels, to model noise and decoherence effects in a qudit coupled to a thermal environment. The degradation of energetic resources under…

量子物理 · 物理学 2026-05-27 Vito Vetrano , Vittorio Giovannetti , Vasco Cavina

In this paper we address the issue of universal or robust communication over quantum channels. Specifically, we consider memoryless communication scenario with channel uncertainty which is an analog of compound channel in classical…

量子物理 · 物理学 2009-11-13 I. Bjelakovic , H. Boche , J. Noetzel

Quantum capacity, as the key figure of merit for a given quantum channel, upper bounds the channel's ability in transmitting quantum information. Identifying different type of channels, evaluating the corresponding quantum capacity and…

量子物理 · 物理学 2023-03-08 Changchun Zhong , Changhun Oh , Liang Jiang

Current advancements in communication equipment demand the investigation of classical information transfer over quantum channels, by encompassing realistic scenarios in finite dimensions. To address this issue, we develop a framework for…

量子物理 · 物理学 2026-01-08 Sudipta Mondal , Pritam Halder , Saptarshi Roy , Aditi Sen De

For a partially degradable (PD) channel, the channel output state can be used to simulate the degraded environment state. The quantum capacity of a PD channel has been proven to be additive. Here, we show that the private classical capacity…

量子物理 · 物理学 2015-06-16 Laszlo Gyongyosi
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