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An ordering between the quantum states emerging from a single mode gauge-covariant bosonic Gaussian channel is proven. Specifically, we show that within the set of input density matrices with the same given spectrum, the element passive…

Quantum Physics · Physics 2016-04-25 Giacomo De Palma , Dario Trevisan , Vittorio Giovannetti

As quantum information systems mature, efficient and coherent transfer of quantum information through noisy channels becomes increasingly important. We examine how passive environment-assisted quantum communication enhances direct quantum…

Quantum Physics · Physics 2026-03-02 Evelyn Voss , Bikun Li , Zhaoyou Wang , Liang Jiang

We prove the longstanding conjecture stating that Gaussian thermal input states minimize the output von Neumann entropy of one-mode phase-covariant quantum Gaussian channels among all the input states with a given entropy. Phase-covariant…

Quantum Physics · Physics 2017-04-26 Giacomo De Palma , Dario Trevisan , Vittorio Giovannetti

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.…

Quantum Physics · Physics 2015-05-14 Andrea Mari , Vittorio Giovannetti , Alexander S. Holevo

Passive states are defined as those states that do not allow for work extraction in a cyclic (unitary) process. Within the set of passive states, thermal states are the most stable ones: they maximize the entropy for a given energy, and…

We consider the image of some classes of bipartite quantum states under a tensor product of random quantum channels. Depending on natural assumptions that we make on the states, the eigenvalues of their outputs have new properties which we…

Mathematical Physics · Physics 2019-02-27 Benoit Collins , Motohisa Fukuda , Ion Nechita

Bosonic pure-loss channel, which represents the process of photons decaying into a vacuum environment, has zero quantum capacity when the channel's transmissivity is less than 50%. Modeled as a beam splitter interaction between the system…

Quantum Physics · Physics 2025-04-15 Zhaoyou Wang , Liang Jiang

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…

Quantum Physics · Physics 2007-05-23 C. King , M. B. Ruskai

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…

Quantum Physics · Physics 2009-11-13 V. Karimipour , L. Memarzadeh

Passivity is a fundamental concept in thermodynamics that demands a quantum system's energy cannot be lowered by any reversible, unitary process acting on the system. In the limit of many such systems, passivity leads in turn to the concept…

Quantum Physics · Physics 2017-12-14 Carlo Sparaciari , David Jennings , Jonathan Oppenheim

We prove that Gaussian thermal input states minimize the output von Neumann entropy of the one-mode Gaussian quantum-limited attenuator for fixed input entropy. The Gaussian quantum-limited attenuator models the attenuation of an…

Quantum Physics · Physics 2016-12-22 Giacomo De Palma , Dario Trevisan , Vittorio Giovannetti

We introduce a model of non-Gaussian quantum channel that stems from the combination of two physically relevant processes occurring in open quantum systems, namely amplitude damping and dephasing. For it we find input states approaching…

Quantum Physics · Physics 2016-09-07 Laleh Memarzadeh , Stefano Mancini

Given any covariance matrix corresponding to a so-called pure Gaussian state, a linear quantum system can be designed to achieve the assigned covariance matrix. In most cases, however, one might obtain a system that is difficult to realize…

Quantum Physics · Physics 2017-04-06 Shan Ma , Ian R. Petersen , Matthew J. Woolley

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…

Quantum Physics · Physics 2022-07-19 Evan J. D. Anderson , Boulat A. Bash

Given a certain amount of entanglement available as a resource, what is the most efficient way to accomplish a quantum task? We address this question in the relevant case of continuous variable quantum teleportation protocols implemented…

Quantum Physics · Physics 2017-11-29 Pietro Liuzzo-Scorpo , Andrea Mari , Vittorio Giovannetti , Gerardo Adesso

For a quantum channel with additive Gaussian quantum noise, at the large input energy side, we prove that the one shot capacity is achieved by the thermal noise state for all Gaussian state inputs, it is also true for non-Gaussian input in…

Quantum Physics · Physics 2015-05-13 Xiao-yu Chen

Recently de Palma et al. [IEEE Trans. Inf. Theory 63, 728 (2017)] proved---using Lagrange multiplier techniques---that under a non-zero input entropy constraint, a thermal state input minimizes the output entropy of a pure-loss bosonic…

Quantum Physics · Physics 2017-07-27 Haoyu Qi , Mark M. Wilde , Saikat Guha

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,…

Quantum Physics · Physics 2015-03-04 V. Giovannetti , A. S. Holevo , R. Garcia-Patron

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…

Quantum Physics · Physics 2017-04-27 Martin Idel , Robert Koenig

We investigate the problem of optimally reversing the action of an arbitrary quantum channel C which acts independently on each component of an ensemble of n identically prepared d-dimensional quantum systems. In the limit of large…

Quantum Physics · Physics 2012-12-06 Peter Bowles , Madalin Guta , Gerardo Adesso
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