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相关论文: Zero-error capacity of a quantum channel

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Channel capacities quantify the optimal rates of sending information reliably over noisy channels. Usually, the study of capacities assumes that the circuits which sender and receiver use for encoding and decoding consist of perfectly…

量子物理 · 物理学 2024-04-15 Paula Belzig , Matthias Christandl , Alexander Müller-Hermes

We determine the capacity of the classical compound quantum wiretapper channel with channel state information at the transmitter. Moreover we derive a lower bound on the capacity of this channel without channel state information and…

量子物理 · 物理学 2012-02-06 Minglai Cai , Ning Cai , Christian Deppe

The quantum capacity captures the value of a quantum channel for transmitting quantum information, establishing the fundamental limits on quantum communication. In spite of its central role in quantum information theory, the quantum…

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

The quantum capacity of a pure quantum channel and that of classical-quantum-classical channel are discussed in detail based on the fully quantum mechanical mutual entropy. It is proved that the quantum capacity generalizes the so-called…

量子物理 · 物理学 2007-05-23 Masanori Ohya , Igor V. Volovich

We consider the security of continuous-variable quantum cryptography as we approach the classical-limit, i.e., when the unknown preparation noise at the sender's station becomes significantly noisy or thermal (even by as much as 10,000…

量子物理 · 物理学 2013-04-17 Christian Weedbrook , Stefano Pirandola , Seth Lloyd , Timothy C. Ralph

The quantum channel capacity gives the ultimate limit for the rate at which quantum data can be reliably transmitted through a noisy quantum channel. Degradable quantum channels are among the few channels whose quantum capacities are known.…

量子物理 · 物理学 2011-03-31 Markus Grassl , Zhengfeng Ji , Zhaohui Wei , Bei Zeng

The process of quantum teleportation can be considered as a quantum channel. The exact classical capacity of the continuous variable teleportation channel is given. Also, the channel fidelity is derived. Consequently, the properties of the…

量子物理 · 物理学 2015-06-26 Tao Qin , Meisheng Zhao , Yongde Zhang

We propose a method to detect lower bounds to quantum capacities of a noisy quantum communication channel by means of few measurements. The method is easily implementable and does not require any knowledge about the channel. We test its…

量子物理 · 物理学 2016-04-12 Chiara Macchiavello , Massimiliano F. Sacchi

We derive a general limit on the fidelity of a quantum channel conveying an ensemble of pure states. Unlike previous results, this limit applies to arbitrary coding and decoding schemes, including nonunitary decoding. This establishes the…

量子物理 · 物理学 2016-09-08 Howard Barnum , Christopher A. Fuchs , Richard Jozsa , Benjamin Schumacher

We generalise some well-known graph parameters to operator systems by considering their underlying quantum channels. In particular, we introduce the quantum complexity as the dimension of the smallest co-domain Hilbert space a quantum…

量子物理 · 物理学 2018-08-22 Rupert H. Levene , Vern I. Paulsen , Ivan G. Todorov

The quantum threshold theorem shows that a noisy quantum computer can accurately and efficiently simulate any ideal quantum computation provided that noise is weakly correlated and its strength is below a critical value known as the quantum…

量子物理 · 物理学 2011-07-13 Panos Aliferis

The capacity of a classical-quantum channel (or in other words the classical capacity of a quantum channel) is considered in the most general setting, where no structural assumptions such as the stationary memoryless property are made on a…

量子物理 · 物理学 2016-11-17 Masahito Hayashi , Hiroshi Nagaoka

An expression is derived characterizing the set of admissible rate pairs for simultaneous transmission of classical and quantum information over a given quantum channel, generalizing both the classical and quantum capacities of the channel.…

量子物理 · 物理学 2007-05-23 I. Devetak , P. W. Shor

Traditional studies of multi-source, multi-terminal interference channels typically allow a vanishing probability of error in communication. Motivated by the study of network coding, this work addresses the task of quantifying the loss in…

信息论 · 计算机科学 2013-07-30 Ilia Levi , Dan Vilenchik , Michael Langberg , Michelle Effros

Quantum error-correcting codes so far proposed have not worked in the presence of noise which introduces more than one bit of entropy per qubit sent through a quantum channel, nor can any code which identifies the complete error syndrome.…

量子物理 · 物理学 2008-02-03 Peter W. Shor , John A. Smolin

One of the major achievements of the recently emerged quantum information theory is the introduction and thorough investigation of the notion of quantum channel which is a basic building block of any data-transmitting or data-processing…

量子物理 · 物理学 2012-03-23 A. S. Holevo , V. Giovannetti

Quantum Lov\'asz number is a quantum generalization of the Lov\'asz number in graph theory. It is the best known efficiently computable upper bound of the entanglement-assisted zero-error classical capacity of a quantum channel. However, it…

量子物理 · 物理学 2018-03-02 Xin Wang , Runyao Duan

The one-shot classical capacity of a quantum channel quantifies the amount of classical information that can be transmitted through a single use of the channel such that the error probability is below a certain threshold. In this work, we…

量子物理 · 物理学 2013-01-29 Ligong Wang , Renato Renner

The more than thirty years old issue of the (classical) information capacity of quantum communication channels was dramatically clarified during the last years, when a number of direct quantum coding theorems was discovered. The present…

量子物理 · 物理学 2017-08-17 Alexander S. Holevo