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A generic quantum channel can be represented in terms of a unitary interaction between the information-carrying system and a noisy environment. Here, the minimal number of quantum Gaussian environmental modes required to provide a unitary…

量子物理 · 物理学 2015-05-19 Filippo Caruso , Jens Eisert , Vittorio Giovannetti , Alexander S. Holevo

The set of all channels with fixed input and output is convex. We first give a convenient formulation of necessary and sufficient condition for a channel to be extreme point of this set in terms of complementary channel, a notion of big…

数学物理 · 物理学 2013-10-29 A. S. Holevo

We consider a quantum bosonic channel that couples the input mode via a beam splitter or two-mode squeezer to an environmental mode that is prepared in an arbitrary state. We investigate the classical capacity of this channel, which we call…

量子物理 · 物理学 2026-01-23 Zacharie Van Herstraeten , Saikat Guha , Nicolas J. Cerf

The Glauber-Sudarshan diagonal `weight' function provides a natural divide between the quantum-optical notion of classical and nonclassical states of continuous variables systems. Based on this demarcation, a channel is said to be…

量子物理 · 物理学 2016-04-28 Krishna Kumar Sabapathy

This thesis explores ways in which quantum channels and correlations (of both classical and quantum types) manifest themselves, and also studies the interplay between these two aspects in various physical settings. Quantum channels…

量子物理 · 物理学 2016-04-28 Krishna Kumar Sabapathy

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

We present an algorithm for calculation of the Gaussian classical capacity of a quantum bosonic memory channel with additive Gaussian noise. The algorithm, restricted to Gaussian input states, is applicable to all channels with noise…

量子物理 · 物理学 2015-03-17 Joachim Schäfer , Evgueni Karpov , Nicolas J. Cerf

Gaussian channel simulation is an essential paradigm in understanding the evolution of bosonic quantum states. It allows us to investigate how such states are influenced by the environment and how they transmit quantum information. This…

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

Quantum non-Gaussian states are crucial for the fundamental understanding of non-linear bosonic systems and simultaneously advanced applications in quantum technologies. In many bosonic experiments the important quantum non-Gaussian feature…

量子物理 · 物理学 2025-10-07 Jan Provazník , Petr Marek , Julien Laurat , Radim Filip

Quantum channels model many physical processes. For this reason, hypothesis testing between quantum channels is a fundamental task in quantum information theory. Here we consider the paradigmatic case of channel position finding, where the…

量子物理 · 物理学 2021-04-28 Jason L. Pereira , Quntao Zhuang , Stefano Pirandola

A complete degradability analysis of one-mode Gaussian Bosonic channels is presented. We show that apart from the class of channels which are unitarily equivalent to the channels with additive classical noise, these maps can be…

量子物理 · 物理学 2009-11-13 F. Caruso , V. Giovannetti , A. S. Holevo

Quantum communication theory explores the implications of quantum mechanics to the tasks of information transmission. Many physical channels can be formally described as quantum Gaussian operations acting on bosonic quantum states.…

量子物理 · 物理学 2015-05-14 Andrea Mari , Vittorio Giovannetti , Alexander S. Holevo

We give necessary and sufficient conditions for a Gaussian quantum channel to have a dilation involving a passive, i.e., number-preserving unitary. We then establish a normal form of such channels: any passively dilatable channel is the…

量子物理 · 物理学 2017-04-27 Martin Idel , Robert Koenig

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

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

A complete analysis of multi-mode bosonic Gaussian channels is proposed. We clarify the structure of unitary dilations of general Gaussian channels involving any number of bosonic modes and present a normal form. The maximum number of…

量子物理 · 物理学 2009-08-17 F. Caruso , J. Eisert , V. Giovannetti , A. S. Holevo

Dephasing is a prominent noise mechanism that afflicts quantum information carriers, and it is one of the main challenges towards realizing useful quantum computation, communication, and sensing. Here we consider discrimination and…

量子物理 · 物理学 2024-06-11 Zixin Huang , Ludovico Lami , Mark M. Wilde

We show how to compute or at least to estimate various capacity-related quantities for Bosonic Gaussian channels. Among these are the coherent information, the entanglement assisted classical capacity, the one-shot classical capacity, and a…

量子物理 · 物理学 2007-05-23 A. S. Holevo , R. F. Werner

We investigate the capacity of bosonic quantum channels for the transmission of quantum information. Achievable rates are determined from measurable moments of the channel by showing that every channel can asymptotically simulate a Gaussian…

量子物理 · 物理学 2009-11-13 Michael M. Wolf , David Perez-Garcia , Geza Giedke
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