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A system of interacting qubits can be viewed as a non-i.i.d quantum information source. A possible model of such a source is provided by a quantum spin system, in which spin-1/2 particles located at sites of a lattice interact with each…

量子物理 · 物理学 2007-07-13 Nilanjana Datta , Yuri Suhov

We discuss the capacity of quantum channels for information transmission and storage. Quantum channels have dual uses: they can be used to transmit known quantum states which code for classical information, and they can be used in a purely…

量子物理 · 物理学 2008-12-18 C. Adami , N. J. Cerf

We introduce ways to measure information storage in quantum systems, using a recently introduced computation-theoretic model that accounts for measurement effects. The first, the quantum excess entropy, quantifies the shared information…

量子物理 · 物理学 2010-04-05 James P. Crutchfield , Karoline Wiesner

We perform a quantum information analysis for multi-mode Gaussian approximate position measurements, underlying noisy homodyning in quantum optics. The "Gaussian maximizer" property is established for the entropy reduction of these…

量子物理 · 物理学 2022-04-04 A. S. Holevo , V. I. Yashin

A method of representing probabilistic aspects of quantum systems is introduced by means of a density function on the space of pure quantum states. In particular, a maximum entropy argument allows us to obtain a natural density function…

量子物理 · 物理学 2015-06-26 D. C. Brody , L. P. Hughston

The intrinsic information of quantum systems refers to the information required to define a quantum state, and may reveal how the nature stores and processes microscopic information. However, there is an evident paradox due to the…

量子物理 · 物理学 2025-10-14 Zhaoyang Dong , Yuexian Hou , Chenguang Zhang , Yingjie Gao , Dawei Song

Information must take up space, must weigh, and its flux must be limited. Quantum limits on communication and information storage leading to these conclusions are here described. Quantum channel capacity theory is reviewed for both steady…

量子物理 · 物理学 2015-06-26 Jacob D. Bekenstein , Marcelo Schiffer

Quantum capacity gives the fundamental limit of information transmission through a channel. However, evaluating the quantum capacities of a continuous-variable bosonic quantum channel, as well as finding an optimal code to achieve the…

量子物理 · 物理学 2025-10-03 Adam Taylor , Michael Hanks , Hyukjoon Kwon , M. S. Kim

We extend the data compression theorem to the case of ergodic quantum information sources. Moreover, we provide an asymptotically optimal compression scheme which is based on the concept of high probability subspaces. The rate of this…

量子物理 · 物理学 2007-05-23 Igor Bjelakovic , Arleta Szkola

We present a formula that determines the optimal number of qubits per message that allows asymptotically faithful compression of the quantum information carried by an ensemble of mixed states. The set of mixed states determines a…

量子物理 · 物理学 2009-11-07 Masato Koashi , Nobuyuki Imoto

The information content of a source is defined in terms of the minimum number of bits needed to store the output of the source in a perfectly recoverable way. A similar definition can be given in the case of quantum sources, with qubits…

量子物理 · 物理学 2023-04-03 Paolo Perinotti , Alessandro Tosini , Leonardo Vaglini

The Bremermann-Bekenstein bound sets a fundamental upper limit on the rate with which information can be processed. However, the original treatment heavily relies on cosmological properties and plausibility arguments. In the present…

量子物理 · 物理学 2020-02-18 Sebastian Deffner

Suppose that a quantum source is known to have von Neumann entropy less than or equal to S but is otherwise completely unspecified. We describe a method of universal quantum data compression which will faithfully compress the quantum…

量子物理 · 物理学 2009-10-31 Richard Jozsa , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki

The general stable quantum memory unit is a hybrid consisting of a classical digit with a quantum digit (qudit) assigned to each classical state. The shape of the memory is the vector of sizes of these qudits, which may differ. We determine…

量子物理 · 物理学 2019-09-16 Greg Kuperberg

It is well known that a Shannon based definition of information entropy leads in the classical case to the Boltzmann entropy. It is tempting to regard the Von Neumann entropy as the corresponding quantum mechanical definition. But the…

量子物理 · 物理学 2009-11-10 Alexander Stotland , Andrei A. Pomeransky , Eitan Bachmat , Doron Cohen

We define classical-quantum multiway channels for transmission of classical information, after recent work by Allahverdyan and Saakian. Bounds on the capacity region are derived in a uniform way, which are analogous to the classically known…

量子物理 · 物理学 2016-11-15 Andreas Winter

Quantum information theory is the study of the achievable limits of information processing within quantum mechanics. Many different types of information can be accommodated within quantum mechanics, including classical information, coherent…

量子物理 · 物理学 2007-05-23 M. A. Nielsen

Accessible information, which is a basic quantity in quantum information theory, is computed for a general quantum Gaussian ensemble under certain "threshold condition". It is shown that the maximizing measurement is Gaussian, constituting…

量子物理 · 物理学 2025-09-01 A. S. Holevo

Quantum entanglements, describing truly quantum couplings, are stu died and classified from the point of view of quantum compound states. We show that c lassical-quantum correspondences such as quantum encodings can be treated as…

量子物理 · 物理学 2007-05-23 Viacheslav P Belavkin , Masanori Ohya

Quantum capacity, as the ultimate transmission rate of quantum communication, is characterized by regularized coherent information. In this work, we reformulate approximations of the quantum capacity by operator space norms and give both…

量子物理 · 物理学 2019-11-06 Li Gao , Marius Junge , Nicholas LaRacuente
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