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Quantum Resource Theory

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Quantum Resource Theory

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Author : Xiao (Stanford University) Yuan
language : en
Publisher: IOP ebooks
Release Date : 2023-06

Quantum Resource Theory written by Xiao (Stanford University) Yuan and has been published by IOP ebooks this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-06 with categories.

Quantum Resource Theory An Introduction

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Author : Xiao Yuan
language : en
Publisher:
Release Date : 2025-04-30

Quantum Resource Theory An Introduction written by Xiao Yuan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-30 with Science categories.

Operational Quantum Resource Theories

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Author : Ryuji Takagi (Scientist in system design and management)
language : en
Publisher:
Release Date : 2020

Operational Quantum Resource Theories written by Ryuji Takagi (Scientist in system design and management) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with categories.

A major goal of quantum information science is to understand the relation between the properties of quantum features and the enhancements to information processing tasks enabled by them. In particular, precise quantitative descriptions of quantum phenomena have become increasingly important not only for theoretical interest but also from a practical point of view as the recent technological advances have provided access to systems on small scales, in which quantum effects play major roles. As a platform to offer such quantitative treatments, quantum resource theory has been developed. This is an operationally motivated framework, which systematically deals with quantication and manipulation of the quantum effects by considering the quantities of interest as precious "resources" that cannot be freely created by the given sets of operations.

Quantum Correlations Quantum Resource Theories And Exclusion Game

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Author : Zi-Wen Liu
language : en
Publisher:
Release Date : 2015

Quantum Correlations Quantum Resource Theories And Exclusion Game written by Zi-Wen Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.

This thesis addresses two topics in quantum information theory. The first topic is quantum correlations and quantum resource theory. The second is quantum communication theory. The first part summarizes an ongoing work about quantum correlations beyond entanglement and quantum resource theories. We systematically explain the concept quantum correlations beyond entanglement, and introduce a unified framework of measuring such correlations with entropic quantities. In particular, a new measure called Diagonal Discord (DD), which is simpler to compute than discord but still possesses several nice properties, is proposed. As an application to real physical scenarios, we study the scaling behaviors of quantum correlations in spin lattices with these measures. On its own, however, the theory of quantum correlations is not yet a satisfactory quantum resource theory. Some partial results towards this goal are introduced. Furthermore, a unified abstract structure of general quantum resource theories and its duality is formalized. The second part shows that there exist (one-way) communication tasks with an infinite gap between quantum communication complexity and quantum information complexity. We consider the exclusion game, recently introduced by Perry, Jain and Oppenheim [80], which exhibits the property that for appropriately chosen parameters of the game, there exists an winning quantum strategy that reveals vanishingly small amount of information as the size of the problem n increases, i.e., the quantum (internal) information cost vanishes in the large n limit. For those parameters, we prove the quantum communication cost (the size of quantum communication to succeed) is lower bounded by Q (log n), thereby proving an infinite gap between quantum information and communication costs. This infinite gap is further shown to be robust against sufficiently small error. Some other interesting features of the exclusion game are also discovered as byproducts.

The Resource Theory Of Asymmetry And Some Of Its Applications

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Author :
language : en
Publisher:
Release Date : 2013

The Resource Theory Of Asymmetry And Some Of Its Applications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.

On Quantum Randomness And Quantum Resources

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Author : Zi-Wen Liu
language : en
Publisher:
Release Date : 2018

On Quantum Randomness And Quantum Resources written by Zi-Wen Liu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with categories.

This thesis is consisted of two independent parts. The first part is on entanglement, quantum randomness, and complexity beyond scrambling. More explicitly, we study the Rényi entanglement entropies of quantum designs. The results lay the mathematical foundation for studying the hierarchy of complexities in between scrambling and Haar randomness by entanglement. The second part explores the general aspects of quantum resource theory. We introduce three theories that do not rely on the specific resource: the theory of resource destroying maps, the one-shot operational resource theory, and the resource theory of quantum channels.

Quantum Correlations

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Author : Farid Shahandeh
language : en
Publisher: Springer
Release Date : 2019-08-02

Quantum Correlations written by Farid Shahandeh and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-02 with Science categories.

The correlations between physical systems provide significant information about their collective behaviour – information that is used as a resource in many applications, e.g. communication protocols. However, when it comes to the exploitation of such correlations in the quantum world, identification of the associated ‘resource’ is extremely challenging and a matter of debate in the quantum community. This dissertation describes three key results on the identification, detection, and quantification of quantum correlations. It starts with an extensive and accessible introduction to the mathematical and physical grounds for the various definitions of quantum correlations. It subsequently focusses on introducing a novel unified picture of quantum correlations by taking a modern resource-theoretic position. The results show that this novel concept plays a crucial role in the performance of collaborative quantum computations that is not captured by the standard textbook approaches. Further, this new perspective provides a deeper understanding of the quantum-classical boundary and paves the way towards establishing a resource theory of quantum computations.