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We give a survey of the two remarkable analytical problems of quantum information theory. The main part is a detailed report of the recent (partial) solution of the quantum Gaussian optimizers problem which establishes an optimal property…

数学物理 · 物理学 2016-08-04 A. S. Holevo

A long-standing problem on the classical capacity of bosonic Gaussian channels has recently been resolved by proving the minimum output entropy conjecture. It is also known that the ultimate capacity quantified by the Holevo bound can be…

量子物理 · 物理学 2015-05-07 Jaehak Lee , Se-Wan Ji , Jiyong Park , Hyunchul Nha

The communication capacity of Gaussian bosonic channels with memory has recently attracted much interest. Here, we investigate a method to prepare the multimode entangled input symbol states for encoding classical information into these…

量子物理 · 物理学 2012-01-31 Joachim Schäfer , Evgueni Karpov , Nicolas J. Cerf

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

We construct a class of quantum channels in arbitrary dimensions for which entanglement improves the performance of the channel. The channels have correlated noise and when the level of correlation passes a critical value we see a sharp…

量子物理 · 物理学 2009-11-13 V. Karimipour , L. Memarzadeh

The Gaussian states are essential ingredients in many tasks of quantum information processing. The presence of the noises imposes limitations on achieving these quantum protocols. Therefore, examining the evolution of quantum entanglement…

量子物理 · 物理学 2022-07-27 Y. Lahlou , L. Baqmou , B. Maroufi , M. Daoud

The impact of a noisy Gaussian channel on a wide range of non-Gaussian input states is studied in this work. The nonclassical nature of the states, both input and output, is developed by studying the corresponding photon statistics and…

量子物理 · 物理学 2023-08-04 Ramniwas Meena , Subhashish Banerjee

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

A noisy Gaussian channel is defined as a channel in which an input field mode is subjected to random Gaussian displacements in phase space. We introduce the quantum fidelity of a Gaussian channel for pure and mixed input states, and we…

量子物理 · 物理学 2007-05-23 Carlton M. Caves , Krzysztof Wodkiewicz

Coherent information quantifies the transmittable quantum information through a channel and is directly linked to the channel's quantum capacity. In a monitored quantum circuit, regarded as a quantum channel, extensive and positive coherent…

量子物理 · 物理学 2025-12-11 Dongheng Qian , Jing Wang

We determine the p->q norms of the Gaussian one-mode quantum-limited attenuator and amplifier and prove that they are achieved by Gaussian states, extending to noncommutative probability the seminal theorem "Gaussian kernels have only…

数学物理 · 物理学 2018-08-07 Giacomo De Palma , Dario Trevisan , Vittorio Giovannetti

We address quantum communication channels based on phase modulation of coherent states and analyze in details the effects of static and dynamical (stochastic) phase diffusion. We evaluate mutual information for an ideal phase receiver and…

量子物理 · 物理学 2015-10-27 Jacopo Trapani , Berihu Teklu , Stefano Olivares , Matteo G. A. Paris

We derive the quantum stochastic master equation for bosonic systems without measurement theory but control theory. It is shown that the quantum effect of the measurement can be represented as the correlation between dynamical and…

量子物理 · 物理学 2007-05-23 M. Yanagisawa

Coherence is a basic notion for quantum states. Instead of quantum states, in this work, We establish a resource theory for quantifying the coherence of Gaussian channels. To do this, we propose the definitions of incoherent Gaussian…

量子物理 · 物理学 2019-08-15 Jianwei Xu

Bosonic channels describe quantum-mechanically many practical communication links such as optical, microwave, and radiofrequency. We investigate the maximum rates for the bosonic multiple access channel (MAC) in the presence of thermal…

量子物理 · 物理学 2022-07-19 Evan J. D. Anderson , Boulat A. Bash

We extend a recent method to detect lower bounds to the quantum capacity of quantum communication channels by considering realistic scenarios with general input probe states and arbitrary detection procedures at the output. Realistic…

量子物理 · 物理学 2018-01-09 Chiara Macchiavello , Massimiliano F. Sacchi

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

The passive states of a quantum system minimize the average energy among all the states with a given spectrum. We prove that passive states are the optimal inputs of single-jump lossy quantum channels. These channels arise from a weak…

量子物理 · 物理学 2016-07-06 Giacomo De Palma , Andrea Mari , Seth Lloyd , Vittorio Giovannetti

We prove that quantum thermal Gaussian input states minimize the output entropy of the multi-mode quantum Gaussian attenuators and amplifiers that are entanglement breaking and of the multi-mode quantum Gaussian phase contravariant channels…

量子物理 · 物理学 2019-08-20 Giacomo De Palma

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