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The purpose of this work is to extend the result of previous papers quant-ph/9611023, quant-ph/9703013 to quantum channels with additive constraints onto the input signal, by showing that the capacity of such channel is equal to the…

量子物理 · 物理学 2007-05-23 A. S. Holevo

Quantum Gaussian channels play a key role in quantum information theory. In particular, the attenuation and amplification channels are useful to describe noise and decoherence effects on continuous variables systems. They are directly…

量子物理 · 物理学 2021-03-22 Jonas F. G. Santos , C. H. S. Vieira

To decide whether a quantum channel is degradable is relatively easy: one has to find at least one example of a degrading quantum channel. But in general, no conclusive criterion exists to show the opposite. Using elementary methods we…

量子物理 · 物理学 2015-12-18 Kamil Bradler

Optical channels, such as fibers or free-space links, are ubiquitous in today's telecommunication networks. They rely on the electromagnetic field associated with photons to carry information from one point to another in space. As a result,…

量子物理 · 物理学 2015-06-18 V. Giovannetti , R. Garcia-Patron , N. J. Cerf , A. S. Holevo

Traditionally, Quantum Information, and Quantum Communication specifically, have been focused on qubit-based architectures. Recent results, however, highlighted that higher dimensional architectures (qudit-based) may present advantages both…

量子物理 · 物理学 2026-04-30 Sofia Cocciaretto , Vittorio Giovannetti

We consider a line with noise in the simplest case. Loss does not add noise. Amplification via phase insensitive amplifiers do add noise. A lower bound of this capacity is the quantum analog to the Shannon capacity of a linear channel with…

量子物理 · 物理学 2013-03-05 Antonio Mecozzi

With increasing communication rates via quantum channels, memory effects become unavoidable whenever the use rate of the channel is comparable to the typical relaxation time of the channel environment. We introduce a model of a bosonic…

量子物理 · 物理学 2015-03-17 Cosmo Lupo , Vittorio Giovannetti , Stefano Mancini

Two quantum channels are called compatible if they can be obtained as marginals from a single broadcasting channel; otherwise they are incompatible. We derive a characterization of the compatibility relation in terms of concatenation and…

量子物理 · 物理学 2017-03-06 Teiko Heinosaari , Takayuki Miyadera

Unambiguous unitary maps and unambiguous unitary quantum channels are introduced and some of their properties are derived. These properties ensure certain simple form for the measurements involved in realizing an unambiguous unitary quantum…

量子物理 · 物理学 2008-11-14 Shengjun Wu , Xuemei Chen

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

An upper limit is given to the amount of quantum information that can be transmitted reliably down a noisy, decoherent quantum channel. A class of quantum error-correcting codes is presented that allow the information transmitted to attain…

量子物理 · 物理学 2009-10-30 Seth Lloyd

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

We present an upper bound for the quantum channel capacity that is both additive and convex. Our bound can be interpreted as the capacity of a channel for high-fidelity quantum communication when assisted by a family of channels that have…

量子物理 · 物理学 2008-08-28 Graeme Smith , John A. Smolin , Andreas Winter

Identification over quantum broadcast channels is considered. As opposed to the information transmission task, the decoder only identifies whether a message of his choosing was sent or not. This relaxation allows for a double-exponential…

量子物理 · 物理学 2023-08-02 Johannes Rosenberger , Christian Deppe , Uzi Pereg

Quantum communications using continuous variables are quite mature experimental techniques and the relevant theories have been extensively investigated with various methods. In this paper, we study the continuous variable quantum channels…

量子物理 · 物理学 2009-11-11 Tao Qin , Meisheng Zhao , Yongde Zhang

Operator-sum or Kraus representations for single-mode Bosonic Gaussian channels are developed, and several of their consequences explored. Kraus operators are employed to bring out the manner in which the unphysical matrix transposition map…

量子物理 · 物理学 2013-05-29 J. Solomon Ivan , Krishnakumar Sabapathy , R. Simon

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 study optimal rates for quantum communication over a single use of a channel, which itself can correspond to a finite number of uses of a channel with arbitrarily correlated noise. The corresponding capacity is often referred to as the…

量子物理 · 物理学 2010-03-19 Francesco Buscemi , Nilanjana Datta

For information transmission a discrete time channel with independent additive Gaussian noise is used. There is also another channel with independent additive Gaussian noise (the feedback channel), and the transmitter observes without delay…

信息论 · 计算机科学 2015-01-21 Marat V. Burnashev , Hirosuke Yamamoto

The archetypal one-qubit noisy channels ---depolarizing, phase-damping and amplitude-damping channels--- describe both Markovian and non-Markovian evolution. Simple microscopic models for the depolarizing channel, both classical and…

量子物理 · 物理学 2012-11-12 K. M. Fonseca Romero , R. Lo Franco