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The capacity of a quantum channel for transmission of classical information depends in principle on whether product states or entangled states are used at the input, and whether product or entangled measurements are used at the output. We…

量子物理 · 物理学 2015-06-26 C. King , M. B. Ruskai

Entangled inputs can enhance the capacity of quantum channels, this being one of the consequences of the celebrated result showing the non-additivity of several quantities relevant for quantum information science. In this work, we answer…

量子物理 · 物理学 2015-05-20 Fernando G. S. L. Brandao , Jens Eisert , Michal Horodecki , Dong Yang

The design of error-correcting codes used in modern communications relies on information theory to quantify the capacity of a noisy channel to send information [1]. This capacity can be expressed using the mutual information between input…

量子物理 · 物理学 2019-07-17 M. B. Hastings

An elementary introduction into algebraic approach to unified quantum information theory and operational approach to quantum entanglement as generalized encoding is given. After introducing compound quantum state and two types of…

量子物理 · 物理学 2017-08-23 V. P. Belavkin , X. Dai

We investigate the use of noisy entanglement as a resource in classical communication via a quantum channel. In particular, we are interested in the question whether for any entangled state, including bound entangled states, there exists a…

量子物理 · 物理学 2019-07-31 Stefan Bäuml , Andreas Winter , Dong Yang

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

For quantum states of two subsystems, entanglement measures are related to capacities of communication tasks -- highly entangled states give higher capacity of transmitting classical as well as quantum information. However, we show that…

量子物理 · 物理学 2010-02-05 Aditi Sen De , Ujjwal Sen

Can quantum entanglement increase the capacity of (classical) covert channels? To one familiar with Holevo's Theorem it is tempting to think that the answer is obviously no. However, in this work we show: quantum entanglement can in fact…

密码学与安全 · 计算机科学 2022-02-07 David Mestel

In this thesis we analyse the type of states and ensembles which achieve the capacity for certain quantum channels carrying classical information. We first concentrate on the product-state capacity of a particular quantum channel, that is,…

量子物理 · 物理学 2010-07-19 Ciara Morgan

We study the capacity of d-dimensional quantum channels with memory modeled by correlated noise. We show that, in agreement with previous results on Pauli qubit channels, there are situations where maximally entangled input states achieve…

量子物理 · 物理学 2007-05-23 E. Karpov , D. Daems , N. J. Cerf

We study the capacity of a quantum channel where channel acts like controlled phase gate with the control being provided by a one-dimensional quantum spin chain environment. Due to the correlations in the spin chain, we get a quantum…

量子物理 · 物理学 2017-04-13 Jaideep Mulherkar , V. Sunitha

The capacity of accelerated channel is investigated for different classes of initial states. It is shown that, the capacities of the travelling channels depend on the frame in which the accelerated channels are observed in and the initial…

量子物理 · 物理学 2014-02-04 N. Metwally , A. Sagheer

A class of problems in quantum information theory, having an elementary formulation but still resisting solution, concerns the additivity properties of various quantities characterizing quantum channels, notably the "classical capacity",…

数学物理 · 物理学 2007-05-23 G. G. Amosov , A. S. Holevo , R. F. Werner

An example is given of a qubit quantum channel which requires four inputs to maximize the Holevo capacity. The example is one of a family of channels which are related to 3-state channels. The capacity of the product channel is studied and…

量子物理 · 物理学 2007-05-23 Masahito Hayashi , Hiroshi Imai , Keiji Matsumoto , Mary Beth Ruskai , Toshiyuki Shimono

The capacity of noisy quantum channels characterizes the highest rate at which information can be reliably transmitted and it is therefore of practical as well as fundamental importance. Capacities of classical channels are computed using…

量子物理 · 物理学 2021-07-02 Navneeth Ramakrishnan , Raban Iten , Volkher B. Scholz , Mario Berta

We consider explicitly two examples of d-dimensional quantum channels with correlated noise and show that, in agreement with previous results on Pauli qubit channels, there are situations where maximally entangled input states achieve…

量子物理 · 物理学 2007-05-23 E. Karpov , D. Daems , N. J. Cerf

Entanglement shared between the two ends of a quantum communication channel has been shown to be a useful resource in increasing both the quantum and classical capacities for these channels. The entanglement-assisted capacities were derived…

量子物理 · 物理学 2009-11-07 Garry Bowen

This article provides an elementary introduction to Gaussian channels and their capacities. We review results on the classical, quantum, and entanglement assisted capacities and discuss related entropic quantities as well as additivity…

量子物理 · 物理学 2009-05-15 J. Eisert , M. M. Wolf

We prove that a general upper bound on the maximal mutual information of quantum channels is saturated in the case of Pauli channels with an arbitrary degree of memory. For a subset of such channels we explicitly identify the optimal signal…

量子物理 · 物理学 2007-05-23 C. Macchiavello , G. M. Palma , S. Virmani

If a sender and a receiver lack precise knowledge about the communication line that connects them, designing a scheme to reliably transmit information becomes more challenging. This has been studied in classical and quantum information…

量子物理 · 物理学 2024-08-27 Paula Belzig
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