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For each substance-like quantity, a theorem about its conservation or non-conservation can be formulated. For the electric charge e.g. it reads: Electric charge can neither be created nor destroyed. Such a statement is short and easy to…

物理学史与哲学 · 物理学 2020-06-25 Friedrich Herrmann

One of the most important properties of quantum information, and the one ultimately responsible for its cryptographic applications, is that it can't be copied. That statement, however, is not completely accurate. While the no-cloning…

量子物理 · 物理学 2019-10-24 Patrick Hayden , Alex May

We discuss the relation between the no-cloning theorem from quantum information and the doubling procedure used in the formalism of thermofield dynamics (TFD). We also discuss how to apply the no-cloning theorem in the context of…

量子物理 · 物理学 2015-03-19 Thiago Prudencio

The correspondence principle suggests that a quantum description for the microworld should be naturally transited to a classical description within the classical limit. However, it seems that there is a large gap between quantum no-cloning…

量子物理 · 物理学 2018-03-16 Ming-hao Wang , Qing-yu Cai

In complete erasure any arbitrary pure quantum state is transformed to a fixed pure state by irreversible operation. Here we ask if the process of partial erasure of quantum information is possible by general quantum operations, where…

量子物理 · 物理学 2011-11-28 Arun K. Pati , Barry C. Sanders

The possible existence of closed timelike curves (CTCs) draws attention to fundamental questions about what is physically possible and what is not. An example is the "no cloning theorem" in quantum mechanics, which states that no physical…

量子物理 · 物理学 2015-06-19 D. Ahn , T. C. Ralph , R. B. Mann

The no-cloning theorem asserts that, unlike classical information, quantum information cannot be copied. This seemingly undesirable phenomenon is harnessed in quantum cryptography. Uncloneable cryptography studies settings in which the…

量子物理 · 物理学 2022-10-27 Or Sattath

The no-cloning theorem is a cornerstone of quantum cryptography. Here we generalize and rederive in a unified framework various upper bounds on the maximum achievable fidelity of probabilistic and deterministic cloning machines. Building on…

量子物理 · 物理学 2024-02-26 Yanglin Hu , Marco Tomamichel

We prove a new impossibility for quantum information (the no-splitting theorem): an unknown quantum bit (qubit) cannot be split into two complementary qubits. This impossibility, together with the no-cloning theorem, demonstrates that an…

量子物理 · 物理学 2009-11-11 D. L. Zhou , B. Zeng , L. You

The information bleaching refers to any physical process that removes quantum information from the initial state of the physical system. The no-hiding theorem proves that if information is lost from the initial system, then it cannot remain…

量子物理 · 物理学 2022-06-23 Abhay Srivastav , Arun Kumar Pati

A photon in an arbitrary polarization state cannot be cloned perfectly. But suppose that at our disposal we have several copies of an unknown photon. Is it possible to delete the information content of one or more of these photons by a…

量子物理 · 物理学 2017-05-10 Arun Kumar Pati , Samuel L. Braunstein

The possible existence of closed timelike curves (CTCs) draws attention to fundamental questions about what is physically possible and what is not. An example is the "no cloning theorem" in quantum mechanics, which states that no physical…

量子物理 · 物理学 2015-06-05 D. Ahn , C. R. Myers , T. C. Ralph , R. B. Mann

The possibility to describe the laws of the Universe in a computational way seems to be correlated to a principle that the density of information is bounded. This principle, that is dual to that of a finite velocity of information, has…

计算机科学中的逻辑 · 计算机科学 2023-04-18 Pablo Arrighi , Gilles Dowek

Quantum information, though not precisely defined, is a fundamental concept of quantum information theory which predicts many fascinating phenomena and provides new physical resources. A basic problem is to recognize the features of quantum…

量子物理 · 物理学 2007-06-13 M. Horodecki , P. Horodecki , R. Horodecki , M. Piani

Thermodynamics is one of the fascinating branches of traditional physics to certify the occurrence of many natural processes. On the other hand, quantum theory is the most acceptable description of the microscopic world. In the present…

量子物理 · 物理学 2020-01-22 Tamal Guha , Mir Alimuddin , Preeti Parashar

Incompatibility is a feature of quantum theory that sets it apart from classical theory, and the inability to clone an unknown quantum state is one of the most fundamental instances. The no-hiding theorem is another such instance that…

量子物理 · 物理学 2025-08-12 Matthew Girling , Cristina Cirstoiu , David Jennings

In order to reject the notion that information is always about something, the "It from Bit" idea relies on the nonexistence of a realistic framework that might underly quantum theory. This essay develops the case that there is a plausible…

量子物理 · 物理学 2015-10-01 Ken Wharton

Suppose we are given two identical copies of an unknown quantum state and we wish to delete one copy from among the given two copies. The quantum no-deletion principle restricts us from perfectly deleting a copy but it does not prohibit us…

量子物理 · 物理学 2009-11-11 Satyabrata Adhikari

The interaction between two parts in a compound quantum system may be reconsidered more completely than before and some new understandings and conclusions different from current quantum mechanics are obtained, including the conservation law…

综合物理 · 物理学 2010-11-03 Tian-Hai Zeng

We show that the conservation and the non-additivity of the information, together with the additivity of the entropy make the entropy increase in an isolated system. The collapse of the entangled quantum state offers an example of the…

量子物理 · 物理学 2009-11-13 Qi-Ren Zhang