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Related papers: Common origin of no-cloning and no-deleting princi…

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We show that the no-deleting and no-cloning principles are implications of information conservation principle. This is unlike in classical physics, where cloning and deleting are possible, independently of information conservation.…

Quantum Physics · Physics 2007-05-23 Michal Horodecki , Ryszard Horodecki , Aditi Sen De , Ujjwal Sen

It is known that the stronger no-cloning theorem and the no-deleting theorem taken together provide the permanence property of quantum information. Also, it is known that the violation of the no-deletion theorem would imply signalling.…

Quantum Physics · Physics 2007-05-23 Indranil Chakrabarty , A. K. Pati , Satyabrata Adhikari

A common way of stating the non-cloning theorem -- one of distinguishing characteristics of quantum theory -- is that one cannot make a copy of an arbitrary unknown quantum state. Even though this theorem is an important part of the ongoing…

Quantum Physics · Physics 2019-05-17 Arkady Bolotin

Over the past decade quantum information theory has developed into a vigorous field of research despite the fact that quantum information, as a precise concept, is undefined. Indeed the very idea of viewing quantum states as carriers of…

Quantum Physics · Physics 2007-05-23 Richard Jozsa

Linearity and unitarity are two fundamental tenets of quantum theory. Any consequence that follows from these must be respected in the quantum world. The no-cloning theorem and the no-deleting theorem are the consequences of the linearity…

Quantum Physics · Physics 2012-04-18 Jharana Rani Samal , Arun Kumar Pati , Anil Kumar

Unmeasureability of a quantum state has important consequences in practical implementation of quantum computers. Like copying, deleting of an unknown state from among several copies is prohibited. This is called no-deletion prinicple. Here,…

Quantum Physics · Physics 2007-05-23 Arun K. Pati , Samuel L. Braunstein

We prove within the standard quantum formalism without reduction postulate that the no-cloning theorem and the principle of no-increasing of entanglement under local actions and one-way classical communication are equivalent. We argue that…

Quantum Physics · Physics 2009-10-30 Michal Horodecki , Ryszard Horodecki

We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory. The approach is based on a general framework, which allows one to address a large class of physical theories which share basic…

Quantum Physics · Physics 2015-06-04 G. Chiribella , C. M. Scandolo

No-Cloning and No-Deleting theorems are verified with the constraint on local state transformations via the existence of incomparable states. Assuming the existence of exact cloning or deleting operation defined on a minimum number of two…

Quantum Physics · Physics 2007-11-04 Amit Bhar , Indrani Chattopadhyay , Debasis Sarkar

A principle of information conservation is shown in abstract terms to rule out probabilistic physical laws, necessitating the existence of state trajectories. It furthermore provides a geometric-thermodynamic mechanism for the appearance of…

Quantum Physics · Physics 2020-11-09 Nicolas Underwood

We introduce the notions of algorithmic mutual information and rarity of quantum states. These definitions enjoy conservation inequalities over unitary transformations and partial traces. We show that a large majority of pure states have…

Computational Complexity · Computer Science 2021-01-12 Samuel Epstein

I argue that both digital and analog information are important in the foundations of quantum physics. If it is possible for information present in one system to become present in others without being erased in the original system I will say…

Quantum Physics · Physics 2011-02-16 Alan Forrester

It is known that the classical information like strings of bits can be copied. In 1982, Wootters and Zurek proposed the quantum no-cloning principle. No-cloning principle says that it is impossible to make an identical copy of an arbitrary…

Quantum Physics · Physics 2026-05-18 Dafa Li

Heisenberg's uncertainty principle and recently derived many no-go theorems including the no-cloning theorem and the no-deleting theorem have corroborated the idea that we can never access quantum information without causing disturbance.…

Quantum Physics · Physics 2008-04-16 Koji Azuma , Masato Koashi , Nobuyuki Imoto

Quantum mechanics put restriction on performing some task which we can do classically. One such restriction is that we cannot copy an arbitrary quantum state. This is known as No-cloning theorem. Although quantum mechanics forbid us to…

Quantum Physics · Physics 2009-02-11 Satyabrata Adhikari

We recast the quantum no-cloning theorem in a form that preserves spin statistics and apply it to entanglement.

Quantum Physics · Physics 2019-04-23 Mark G. Kuzyk

One of the fundamental restrictions that quantum mechanics imposes is the "No deletion Theorem" which tells us that given two identical unknown quantum states, it is impossible to delete one of them. But nevertheless if not perfect, people…

Quantum Physics · Physics 2023-03-14 Aditya Jain , Indranil Chakrabarty

We dwell upon the physicist's conception of `life' since Schroedinger and Wigner through to the modern-day language of living systems in the light of quantum information. We discuss some basic features of a living system such as ordinary…

Quantum Physics · Physics 2007-05-23 Arun K. Pati

Coherence, being at the heart of interference phenomena, is found to be an useful resource in quantum information theory. Here we want to understand quantum coherence under the combination of two fundamentally dual processes, viz., cloning…

Quantum Physics · Physics 2017-08-15 Sumana Karmakar , Ajoy Sen , Debasis Sarkar

We formulate the information paradox in de Sitter space in terms of the no-cloning principle of quantum mechanics. We show that energy conservation puts an upper bound on the maximum entropy available to any de Sitter observer. Combined…

High Energy Physics - Theory · Physics 2008-11-26 Maulik K. Parikh , Jan Pieter van der Schaar
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