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A quantum channel will have a Choi representation from which the complete positivity (CP) can be determined in a number of different ways. Every method relies on Choi's proof which relates CP to the positive semi-definiteness of a specially…

量子物理 · 物理学 2014-07-22 James M. McCracken

We analyze the quality of the quantum information transmission along a correlated quantum channel by studying the average fidelity between input and output states and the average output purity, giving bounds for the entropy of the channel.…

量子物理 · 物理学 2008-11-26 Davide Rossini , Vittorio Giovannetti , Simone Montangero

Among all entanglement measures negativity arguably is the best known and most popular tool to quantify bipartite quantum correlations. It is easily computed for arbitrary states of a composite system and can therefore be applied to discuss…

量子物理 · 物理学 2014-09-19 Christopher Eltschka , Jens Siewert

Determining whether a noisy quantum channel can be used to reliably transmit quantum information at a non-zero rate is a challenging problem in quantum information theory. This is because it requires computation of the channel's coherent…

量子物理 · 物理学 2024-10-24 Satvik Singh , Nilanjana Datta

We analyze the general nonclassicality of correlations of a composite quantum systems as measured by the negativity of quantumness. The latter corresponds to the minimum entanglement, as quantified by the negativity, that is created between…

量子物理 · 物理学 2013-07-31 Takafumi Nakano , Marco Piani , Gerardo Adesso

The task of determining whether a given quantum channel has positive capacity to transmit quantum information is a fundamental open problem in quantum information theory. In general, the coherent information needs to be computed for an…

量子物理 · 物理学 2022-08-17 Satvik Singh , Nilanjana Datta

We characterize the behavior of quantum correlations under the influence of local noisy channels. Intuition suggests that such noise should be detrimental for quantumness. When considering qubit systems, we show for which channel this is…

量子物理 · 物理学 2011-10-18 Alexander Streltsov , Hermann Kampermann , Dagmar Bruß

Even though measurement results obtained in the real world are generally both noisy and continuous, quantum measurement theory tends to emphasize the ideal limit of perfect precision and quantized measurement results. In this article, a…

量子物理 · 物理学 2008-12-18 Holger F. Hofmann

Quantum systems generally exhibit different kinds of correlations. In order to compare them on equal footing, one uses the so-called distance-based approach where different types of correlations are captured by the distance to different…

量子物理 · 物理学 2022-02-25 Ray Ganardi , Marek Miller , Tomasz Paterek , Marek Żukowski

A crucial goal of quantum information is to find new ways to exploit the properties of quantum devices as resources. One of the prominent properties of quantum devices of particular interest is their negativity in quasi-probability…

量子物理 · 物理学 2022-08-29 Roberto Salazar , Jakub Czartowski , A. de Oliveira Junior

Positivity or the stronger notion of complete positivity, and contextuality are central properties of quantum dynamics. In this work, we demonstrate that a physical unitary-universe dilation model could be employed to characterize the…

量子物理 · 物理学 2013-03-22 Song Cheng , Dongsheng Wang

If a quantum system is subject to noise, it is possible to perform quantum error correction reversing the action of the noise if and only if no information about the system's quantum state leaks to the environment. In this article, we…

量子物理 · 物理学 2012-07-06 Patrick Hayden , Andreas Winter

Quantum channels represent a broad spectrum of operations crucial to quantum information theory, encompassing everything from the transmission of quantum information to the manipulation of various resources. In the domain of states, the…

量子物理 · 物理学 2025-05-15 Gilad Gour , Doyeong Kim , Takla Nateeboon , Guy Shemesh , Goni Yoeli

Understanding the role of correlations in quantum systems is both a fundamental challenge as well as of high practical relevance for the control of multi-particle quantum systems. Whereas a lot of research has been devoted to study the…

量子物理 · 物理学 2015-07-16 Ángel Rivas , Markus Müller

It is known that the existence of memory effect can revive quantum correlations in open system dynamics. In this regard, the backflow of information from environment to the system can be identified with Complete Positive (CP) indivisibility…

量子物理 · 物理学 2025-08-27 Anumita Mukhopadhyay , Praggnyamita Ghosh , Shibdas Roy

We investigate the system-environment information flow from the point of view ofcomplete complementarity relations. We consider some commonly used noisy quantum channels:Amplitude damping, phase damping, bit flip, bit-phase flip, phase…

量子物理 · 物理学 2021-06-25 Marcos L. W. Basso , Jonas Maziero

We fully characterize the reduced dynamics of an open quantum system initially correlated with its environment. Using a photonic qubit coupled to a simulated environment we tomographically reconstruct a superchannel---a generalised channel…

Quantum decoherence due to imperfect manipulation of quantum devices is a key issue in the noisy intermediate-scale quantum (NISQ) era. Standard analyses in quantum information and quantum computation use error rates to parameterize quantum…

量子物理 · 物理学 2023-02-23 Yuchen Guo , Shuo Yang

We show that complete positivity is not only sufficient but also necessary for the validity of the quantum data-processing inequality. As a consequence, the reduced dynamics of a quantum system are completely positive, even in the presence…

量子物理 · 物理学 2014-10-07 Francesco Buscemi

The ability to transfer coherent quantum information between systems is a fundamental component of quantum technologies and leads to coherent correlations within the global quantum process. However correlation structures in quantum channels…

量子物理 · 物理学 2022-05-03 Matthew Girling , Cristina Cirstoiu , David Jennings
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