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It is well known that (non-orthogonal) pure states cannot be cloned so one may ask: how much or what kind of additional (quantum) information is needed to supplement one copy of a quantum state in order to be able to produce two copies of…

量子物理 · 物理学 2007-05-23 Richard Jozsa

Despite various parallels between quantum states and ordinary information, quantum no-go-theorems have convinced many that there is no realistic framework that might underly quantum theory, no reality that quantum states can represent…

量子物理 · 物理学 2014-03-12 Ken Wharton

We prove generic versions of the no-cloning and no-broadcasting theorems, applicable to essentially {\em any} non-classical finite-dimensional probabilistic model that satisfies a no-signaling criterion. This includes quantum theory as well…

量子物理 · 物理学 2007-05-23 Howard Barnum , Jonathan Barrett , Matthew Leifer , Alexander Wilce

In a previous paper [1] we considered the question, "What underlying property of nature is responsible for the second law?" A simple answer can be stated in terms of information: The fundamental loss of information gives rise to the second…

统计力学 · 物理学 2012-02-21 T. L. Duncan , J. S. Semura

Conservation principles are essential to describe and quantify dynamical processes in all areas of physics. Classically, a conservation law holds because the description of reality can be considered independent of an observation…

量子物理 · 物理学 2021-03-24 Stanisław Sołtan , Mateusz Frączak , Wolfgang Belzig , Adam Bednorz

In this paper we introduce a quantum information theoretical model for quantum secret sharing schemes. We show that quantum information theory provides a unifying framework for the study of these schemes. We prove that the information…

In this work, we show that 'splitting of quantum information' [6] is an impossible task from three different but consistent principles of unitarity of Quantum Mechanics, no-signalling condition and non increase of entanglement under Local…

量子物理 · 物理学 2009-11-13 Indranil Chakrabarty , S. Adhikari , Prashant , B. S. Choudhury

We examine the toy model of modal quantum theory (MQT), an analogue of actual quantum theory based on finite fields. In particular, we investigate how several essential ``no-go'' results (for cloning, deleting and hiding processes) work in…

量子物理 · 物理学 2023-10-09 Phillip Diamond , Benjamin Schumacher

In a recent paper, PNAS, 118, e1921529118 (2021), it was argued that while the standard definition of conservation laws in quantum mechanics, which is of a statistical character, is perfectly valid, it misses essential features of nature…

量子物理 · 物理学 2024-01-26 Yakir Aharonov , Sandu Popescu , Daniel Rohrlich

Molecular data systems have the potential to store information at dramatically higher density than existing electronic media. Some of the first experimental demonstrations of this idea have used DNA, but nature also uses a wide diversity of…

Certain transformations of isolated physical systems underlying various conservation laws in physics are noted. As regards each of these transformations, there is a theoretical action that is equivalent to a matched physical action on the…

综合物理 · 物理学 2007-05-23 D. M. Snyder

The linear superposition principle in quantum mechanics is essential for several no-go theorems such as the no-cloning theorem, the no-deleting theorem and the no-superposing theorem. It remains an open problem of finding general forbidden…

量子物理 · 物理学 2018-06-26 Ming-Xing Luo , Hui-Ran Li , Hong Lai , Xiaojun Wang

In quantum theory, the no-information-without-disturbance and no-free-information theorems express that those observables that do not disturb the measurement of another observable and those that can be measured jointly with any other…

量子物理 · 物理学 2019-07-10 Teiko Heinosaari , Leevi Leppäjärvi , Martin Plávala

We discuss the usefulness of quantum cloning and present examples of quantum computation tasks for which cloning offers an advantage which cannot be matched by any approach that does not resort to it. In these quantum computations, we need…

量子物理 · 物理学 2007-05-23 Gao Ting , Yan Feng-Li , Wang Zhi-Xi

In the paradigmatic example of quantum measurements, whenever one measures a system which starts in a superposition of two states of a conserved quantity, it jumps to one of the two states, implying different final values for the quantity…

量子物理 · 物理学 2025-07-30 Daniel Collins , Sandu Popescu

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

I argue here that both the first and second laws of thermodynamics, generally understood to be quintessentially physical in nature, can be equally well described as being about certain types of information without the need to invoke…

数据分析、统计与概率 · 物理学 2013-10-02 V. J. Vieland

We show in this pedagogical review that far from being "an apparent law of physics that stands by itself" (R. Bousso, Rev. Mod. Phys. 74 (2002), 825-874), the holographic principle (HP) is a straightforward consequence of the quantum…

量子物理 · 物理学 2022-11-22 Chris Fields , James F. Glazebrook , Antonino Marciano

The celebrated quantum no-cloning theorem establishes the impossibility of making a perfect copy of an unknown quantum state. The discovery of this important theorem for the field of quantum information is currently dated 1982. I show here…

物理学史与哲学 · 物理学 2018-02-23 Juan Ortigoso

The argument used, in a recent letter to Nature (Nature 130 vol 404, 2000) to arrive at the `quantum-no-deleting principle' is erroneous. It is pointed out here that there may not be anything like such a principle. In any case, the claims…

量子物理 · 物理学 2007-05-23 K. V. Bhagwat , D. C. Khandekar , S. V. G. Menon , R. R. Puri , D. C. Sahni