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Properties of Bosonic linear (quasi-free) channels, in particular, Bosonic Gaussian channels with two types of degeneracy are considered. The first type of degeneracy can be interpreted as existence of noise-free canonical variables (for…

数学物理 · 物理学 2013-02-28 M. E. Shirokov

We analyze qubit channels by exploiting the possibility of representing two-level quantum systems in terms of characteristic functions. To do so, we use functions of non-commuting variables (Grassmann variables), defined in terms of…

量子物理 · 物理学 2008-09-12 Filippo Caruso , Vittorio Giovannetti

We investigate whether certain non-classical communication channels can be simulated by a classical channel with a given number of states and a given `amount' of noise. It is proved that any noisy quantum channel can be simulated by a…

信息论 · 计算机科学 2022-06-29 Péter E. Frenkel

The additivity problem asks if the use of entanglement can boost the information-carrying capacity of a given channel beyond what is achievable by coding with simple product states only. This has recently been shown not to be the case for…

量子物理 · 物理学 2018-04-10 Stefan Huber , Robert Koenig

We show that there exist Gaussian channels which are amendable. A channel is amendable if when applied twice is entanglement breaking while there exists a unitary filter such that, when interposed between the first and second action of the…

量子物理 · 物理学 2013-07-16 A. De Pasquale , A. Mari , A. Porzio , V. Giovannetti

Gaussian quantum channels have recently attracted a growing interest, since they may lead to a tractable approach to the generally hard problem of evaluating quantum channel capacities. However, the analysis performed so far has always been…

量子物理 · 物理学 2010-02-18 Nicolas J. Cerf , Julien Clavareau , Jérémie Roland , Chiara Macchiavello

Activation of quantum capacity is a surprising phenomenon according to which the quantum capacity of a certain channel may increase by combining it with another channel with zero quantum capacity. Superactivation describes an even more…

量子物理 · 物理学 2019-03-29 Youngrong Lim , Ryuji Takagi , Gerardo Adesso , Soojoon Lee

As with classical information, error-correcting codes enable reliable transmission of quantum information through noisy or lossy channels. In contrast to the classical theory, imperfect quantum channels exhibit a strong kind of synergy:…

量子物理 · 物理学 2013-02-05 Graeme Smith , John A. Smolin , Jon Yard

In the space of quantum channels, we establish the geometry that allows us to make statistical predictions about relative volumes of entanglement breaking channels among all the Gaussian quantum channels. The underlying metric is…

量子物理 · 物理学 2019-12-11 Katarzyna Siudzińska , Kimmo Luoma , Walter T. Strunz

Quantum communication is an important branch of quantum information science, promising unconditional security to classical communication and providing the building block of a future large-scale quantum network. Noise in realistic quantum…

量子物理 · 物理学 2020-01-24 Kyungjoo Noh , Stefano Pirandola , Liang Jiang

Quantum channels describe subsystem or open system evolution. Using the classical Koopman operator that evolves functions on phase space, 4 classical Koopman channels are identified that are analogs of the 4 possible quantum channels in a…

量子物理 · 物理学 2024-07-22 Bidhi Vijaywargia , Arul Lakshminarayan

The set of doubly-stochastic quantum channels and its subset of mixtures of unitaries are investigated. We provide a detailed analysis of their structure together with computable criteria for the separation of the two sets. When applied to…

量子物理 · 物理学 2014-07-30 Christian B. Mendl , Michael M. Wolf

We present upper bounds on the quantum and private capacity of single-mode, phase-insentitive Bosonic Gaussian Channels based on degradable extensions. Our findings are state-of-the-art in the following parameter regions: low temperature…

量子物理 · 物理学 2021-12-01 Marco Fanizza , Farzad Kianvash , Vittorio Giovannetti

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 a simple model of quantum communication where a noisy quantum channel may benefit from the addition of further noise at the decoding stage. We demonstrate enhancement of the classical information capacity of an amplitude damping…

量子物理 · 物理学 2015-06-26 Garry Bowen , Stefano Mancini

In the present paper we introduce and study Bosonic Gaussian classical-quantum (c-q) channels; the embedding of the classical input into quantum is always possible and therefore the classical entanglement-assisted capacity C_{ea} under…

量子物理 · 物理学 2015-03-16 A. S. Holevo

Quantum Gaussian channels are fundamental models for communication and information processing in continuous-variable quantum systems. This work addresses both foundational aspects and physical implementation pathways for these channels.…

量子物理 · 物理学 2025-05-08 Repana Devendra , Tiju Cherian John , K. Sumesh

We address the classical capacity of a quantum bosonic memory channel with additive noise, subject to an input energy constraint. The memory is modeled by correlated noise emerging from a Gauss-Markov process. Under reasonable assumptions,…

量子物理 · 物理学 2009-12-08 Joachim Schäfer , David Daems , Evgueni Karpov , Nicolas J. Cerf

We propose a quantum optics experiment where a single two-mode Gaussian entangled state is used for realizing the paradigm of an amendable Gaussian channel recently presented in Phys. Rev. A, \textbf{87}, 062307 (2013). Depending on the…

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