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The quantum no cloning theorem is an essential result in quantum information theory. Following this idea, we give a physically natural definition of cloning in the context of classical mechanics using symplectic geometry, building on work…

数学物理 · 物理学 2023-10-09 Yuan Yao

Copying information is an elementary operation in classical information processing. However, copying seems rather different in the quantum regime. Since the discovery of the universal quantum cloning machine, much has been found from the…

量子物理 · 物理学 2007-05-23 K. Maruyama , P. L. Knight

Remarkable progress of quantum information theory (QIT) allowed to formulate mathematical theorems for conditions that data-transmitting or data-processing occurs with a non-negative entropy gain. However, relation of these results…

量子物理 · 物理学 2016-09-26 G. B. Lesovik , A. V. Lebedev , I. A. Sadovskyy , M. V. Suslov , V. M. Vinokur

Quantum information processing is the emerging field that defines and realizes computing devices that make use of quantum mechanical principles, like the superposition principle, entanglement, and interference. In this review we study the…

量子物理 · 物理学 2015-05-13 Harry Buhrman , Richard Cleve , Serge Massar , Ronald de Wolf

From the viewpoint of no-cloning theorem we postulate a relation between the current accelerated expansion of our universe and the inflationary expansion in the very early universe. It implies that the fate of our universe should be in a…

高能物理 - 理论 · 物理学 2015-06-03 Qing-Guo Huang , Feng-Li Lin

The impossibility of creating perfect identical copies of unknown quantum systems is a fundamental concept in quantum theory and one of the main non-classical properties of quantum information. This limitation imposed by quantum mechanics,…

量子物理 · 物理学 2022-11-01 Mina Doosti

We have found a quantum cloning machine that optimally duplicates the entanglement of a pair of $d$-dimensional quantum systems. It maximizes the entanglement of formation contained in the two copies of any maximally-entangled input state,…

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

The theory of noncommutative dynamical entropy and quantum symbolic dynamics for quantum dynamical systems is analised from the point of view of quantum information theory. Using a general quantum dynamical system as a communication channel…

量子物理 · 物理学 2009-11-07 Robert Alicki

The quantum entanglement $E$ of a bipartite quantum Ising chain is compared with the mutual information $I$ between the two parts after a local measurement of the classical spin configuration. As the model is conformally invariant, the…

统计力学 · 物理学 2015-06-11 Jaegon Um , Hyunggyu Park , Haye Hinrichsen

Full formal descriptions of algorithms making use of quantum principles must take into account both quantum and classical computing components, as well as communications between these components. Moreover, to model concurrent and…

量子物理 · 物理学 2007-05-23 Marie Lalire

In order to understand the source and extent of the greater-than-classical information processing power of quantum systems, one wants to characterize both classical and quantum mechanics as points in a broader space of possible theories.…

量子物理 · 物理学 2009-08-18 Howard Barnum , Alexander Wilce

Characterising quantum correlations from physical principles is a central problem in the field of quantum information theory. Entanglement breaks bounds on correlations put by Bell's theorem, thus challenging the notion of local causality…

量子物理 · 物理学 2022-04-26 Markus Frembs , Andreas Döring

Relative entropy is the standard measure of distinguishability in classical and quantum information theory. In the classical case, its loss under channels admits an exact chain rule, while in the quantum case only asymptotic, regularized…

量子物理 · 物理学 2026-05-26 Giulio Gasbarri , Matt Hoogsteder-Riera

Nonclassical properties of correlations-- like unpredictability, no-cloning and uncertainty-- are known to follow from two assumptions: nonlocality and no-signaling. For two-input-two-output correlations, we derive these properties from a…

量子物理 · 物理学 2015-07-02 S. Aravinda , R. Srikanth

We show that encrypted cloning of unknown quantum states is possible. Any number of encrypted clones of a qubit can be created through a unitary transformation, and each of the encrypted clones can be decrypted through a unitary…

量子物理 · 物理学 2026-01-16 Koji Yamaguchi , Achim Kempf

Does information play a significant role in the foundations of physics? Information is the abstraction that allows us to refer to the states of systems when we choose to ignore the systems themselves. This is only possible in very…

量子物理 · 物理学 2014-03-05 Lluis Masanes , Markus P. Mueller , Remigiusz Augusiak , David Perez-Garcia

Quantum theory puts forward phenomena unexplainable by classical physics - or information, for that matter. A prominent example is non-locality. Non-local correlations cannot be explained, in classical terms, by shared information but only…

量子物理 · 物理学 2014-08-26 Helen Ebbe , Stefan Wolf

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

量子物理 · 物理学 2015-08-03 Muhammad Nadeem

As it is well known, quantum entanglement is one of the most important features of quantum computing, as it leads to massive quantum parallelism, hence to exponential computational speed-up. In a sense, quantum entanglement is considered as…

量子物理 · 物理学 2008-11-26 Paola Zizzi

To date, there has been no experimental evidence that invalidates quantum theory. Yet it may only be an effective description of the world, in the same way that classical physics is an effective description of the quantum world. We ask…

量子物理 · 物理学 2018-07-05 Ciarán M. Lee , John H. Selby
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