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We obtain a maximizer for the quantum mutual information for classical information sent over the quantum qubit amplitude damping channel. This is achieved by limiting the ensemble of input states to antipodal states, in the calculation of…

量子物理 · 物理学 2011-07-20 Tony Dorlas , Ciara Morgan

A formulation of the generalized minimal output entropy conjecture for Gaussian channels is presented. It asserts that, for states with fixed input entropy, the minimal value of the output entropy of the channel (i.e. the minimal output…

量子物理 · 物理学 2015-05-18 V. Giovannetti , A. S. Holevo , S. Lloyd , L. Maccone

In this paper, we consider the minimal entropy of qubit states transmitted through two uses of a noisy quantum channel, which is modeled by the action of a completely positive trace-preserving (or stochastic) map. We provide strong support…

量子物理 · 物理学 2007-05-23 C. King , M. B. Ruskai

We discuss the capacity of quantum channels for information transmission and storage. Quantum channels have dual uses: they can be used to transmit known quantum states which code for classical information, and they can be used in a purely…

量子物理 · 物理学 2008-12-18 C. Adami , N. J. Cerf

The additivity of the minimal output entropy and that of the $\chi$-capacity are known to be equivalent for finite-dimensional irreducibly covariant channels. In this paper we formulate a list of conditions allowing to establish similar…

量子物理 · 物理学 2018-12-12 A. S. Holevo

We propose constructive approaches for the optimization of binary classical communication over a general noisy qubit quantum channel, for both the error probability and the classical capacity functionals. After showing that the optimal…

量子物理 · 物理学 2014-01-09 Nicola Dalla Pozza , Nicola Laurenti , Francesco Ticozzi

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

We obtained the estimation from below for the output entropy of a tensor product of the quantum phase-damping channel with an arbitrary channel. It is shown that from this estimation immediately follows that the strong superadditivity of…

量子物理 · 物理学 2015-02-02 Grigori Amosov

Motivated by recent high bandwidth communication systems, Inter-Symbol Interference (ISI) channels with 1-bit quantized output are considered under an average-power-constrained continuous input. While the exact capacity is difficult to…

信息论 · 计算机科学 2015-05-05 Radha Krishna Ganti , Andrew Thangaraj , Arijit Mondal

Communication over a noisy channel is often conducted in a setting in which different input symbols to the channel incur a certain cost. For example, for bosonic quantum channels, the cost associated with an input state is the number of…

量子物理 · 物理学 2018-12-27 Dawei Ding , Dmitri S. Pavlichin , Mark M. Wilde

The long-standing conjectures of the optimality of Gaussian inputs for Gaussian channel and Gaussian additivity are solved for a broad class of covariant or contravariant Bosonic Gaussian channels (which includes in particular thermal,…

量子物理 · 物理学 2015-03-04 V. Giovannetti , A. S. Holevo , R. Garcia-Patron

Classical capacity of unital qubit channels is well known, whereas that of nonunital qubit channels is not. We find lower and upper bounds on classical capacity of nonunital qubit channels by using a recently developed decomposition…

量子物理 · 物理学 2019-03-22 Sergey N. Filippov

In most communication scenarios, sending a symbol encoded in a quantum state requires spending resources such as energy, which can be quantified by a cost of communication. A standard approach in this context is to quantify the performance…

量子物理 · 物理学 2017-10-09 Marcin Jarzyna

The minimum entropy output is computed for rotationally invariant quantum channels acting on spin-1/2 and spin-1 systems. For the case of two parallel such channels and initial entangled (singlet) state the entropy of the output is higher…

量子物理 · 物理学 2007-05-23 Robert Alicki

The optimal rate at which information can be sent through a quantum channel when the transmitted signal must simultaneously carry some minimum amount of energy is characterized. To do so, we introduce the quantum-classical analogue of the…

量子物理 · 物理学 2025-01-10 Bishal Kumar Das , Lav R. Varshney , Vaibhav Madhok

This paper considers the derivative of the entropy rate of a hidden Markov process with respect to the observation probabilities. The main result is a compact formula for the derivative that can be evaluated easily using Monte Carlo…

信息论 · 计算机科学 2010-01-11 Henry D. Pfister

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

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

We introduce a new form for the bosonic channel minimal output entropy conjecture, namely that among states with equal input entropy, the thermal states are the ones that have slightest increase in entropy when sent through a infinitesimal…

In this letter, we prove that the classical capacity of quantum channel for $M$ symmetric states is achieved by an uniform distribution on a priori probabilities. We also investigate non-symmetric cases such as a ternary amplitude shift…

量子物理 · 物理学 2009-10-31 Kentaro Kato , Masao Osaki , Osamu Hirota