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In quantum experiments the acquisition and representation of basic experimental information is governed by the multinomial probability distribution. There exist unique random variables, whose standard deviation becomes asymptotically…

量子物理 · 物理学 2017-08-23 Johann Summhammer

We introduce the concept of cloning for classes of observables and classify cloning machines for qubit systems according to the number of parameters needed to describe the class under investigation. A no-cloning theorem for observables is…

量子物理 · 物理学 2009-11-11 Alessandro Ferraro , Matteo Galbiati , Matteo G. A. Paris

Three laws of information theory have been proposed. Labeling by introducing nonsymmetry and formatting by introducing symmetry are defined. The function L (L=lnw, w is the number of microstates, or the sum of entropy and information,…

化学物理 · 物理学 2007-05-23 Shu-Kun Lin

Observationally and experimentally, physical laws express how particles interact. Conversely, physical laws should be invariant under any re-arrangement of those particles, e.g., the laws of gravity do not change if one re-arranges the…

广义相对论与量子宇宙学 · 物理学 2007-08-20 M. Spaans

We derive the Noether identities and the conservation laws for general gravitational models with arbitrarily interacting matter and gravitational fields. These conservation laws are used for the construction of the covariant equations of…

广义相对论与量子宇宙学 · 物理学 2015-09-22 Yuri N. Obukhov , Dirk Puetzfeld

In many real-world systems, information can be transmitted in two qualitatively different ways: by copying or by transformation. Copying occurs when messages are transmitted without modification, e.g., when an offspring receives an…

信息论 · 计算机科学 2022-11-22 Artemy Kolchinsky , Bernat Corominas-Murtra

A fundamental question in quantum mechanics is, whether it is possible to replicate an arbitrary unknown quantum state. Then famous quantum no-cloning theorem [Nature 299, 802 (1982)] says no to the question. But it leaves open the…

量子物理 · 物理学 2007-05-23 Lu-Ming Duan , Guang-Can Guo

This thesis consists of four parts. In the first part it is shown that optimal universal cloning of photons can be realized with the help of stimulated emission. Possible schemes based on three-level systems and on parametric…

量子物理 · 物理学 2007-05-23 Christoph Simon

To explain conceptual gap between classical/quantum and other, hypothetical descriptions of world, several principles has been proposed. So far, all these principles have not explicitly included the uncertainty relation. Here we introduce…

量子物理 · 物理学 2017-02-22 L. Czekaj , M. Horodecki , P. Horodecki , R. Horodecki

No-cloning theorem is fundamental for quantum mechanics and for quantum information science that states an unknown quantum state cannot be cloned perfectly. However, we can try to clone a quantum state approximately with the optimal…

量子物理 · 物理学 2014-10-30 Heng Fan , Yi-Nan Wang , Li Jing , Jie-Dong Yue , Han-Duo Shi , Yong-Liang Zhang , Liang-Zhu Mu

Although it is widely accepted that `no-broadcasting' -- the nonclonability of quantum information -- is a fundamental principle of quantum mechanics, an impossibility theorem for the broadcasting of general density matrices has not yet…

量子物理 · 物理学 2009-11-13 A. Kalev , I. Hen

The problem of quantum state reduction in the process of measurement has attracted attention of almost everyone who created, developed or explained quantum physics to the students. Absence of a solution is the basis for the statement that…

量子物理 · 物理学 2017-09-11 Constantin V. Usenko

This work is a discussion on the concept of information. We define here information as an abstraction that is able to be copied. We consider the connection between the process of copying information in quantum systems and the emergence of…

量子物理 · 物理学 2012-02-10 Marcin Ostrowski

The cloning of quantum variables with continuous spectra is analyzed. A universal - or Gaussian - quantum cloning machine is exhibited that copies equally well the states of two conjugate variables such as position and momentum. It also…

量子物理 · 物理学 2009-10-31 N. J. Cerf , A. Ipe , X. Rottenberg

We prove new quantitative limitations on any approximate simultaneous cloning or broadcasting of mixed states. The results are based on information-theoretic (entropic) considerations and generalize the well known no-cloning and…

量子物理 · 物理学 2017-07-12 Marius Lemm , Mark M. Wilde

The impossibility of perfectly copying (or cloning) an arbitrary quantum state is one of the basic rules governing the physics of quantum systems. The processes that perform the optimal approximate cloning have been found in many cases.…

量子物理 · 物理学 2009-11-11 Valerio Scarani , Sofyan Iblisdir , Nicolas Gisin , Antonio Acin

Living organisms are not just random collections of organic molecules. There is continuous information processing going on in the apparent bouncing around of molecules of life. Optimisation criteria in this information processing can be…

量子物理 · 物理学 2007-05-23 Apoorva Patel

We show that unitarity does not allow cloning of any two points in a ray. This has implication for cloning of the geometric phase information in a quantum state. In particular, the quantum history which is encoded in the geometric phase…

量子物理 · 物理学 2015-06-26 Arun K. Pati

The point of building a quantum computer is that it allows to model living things with predictive power and gives the opportunity to control life. Its scaling means not just the improvement of the instrument part, but also, mainly,…

量子物理 · 物理学 2022-12-22 Yuri I. Ozhigov

This series of introductory lectures consists of two parts. In the first part, I rapidly review the basic notions of quantum physics and many primitives of quantum information (i.e. notions that one must be somehow familiar with in the…

量子物理 · 物理学 2011-07-08 Valerio Scarani