A First Course in the Sporadic SICs PDF Download
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Author: Blake C. Stacey
Publisher: Springer Nature
ISBN: 3030761045
Category : Science
Languages : en
Pages : 119
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Book Description
This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8. These objects stand out in ways that have earned them the moniker of "sporadic SICs". By some standards, they are more approachable than the other known SICs, while by others they are simply atypical. The author forays into quantum information theory using them as examples, and the author explores their connections with other exceptional objects like the Leech lattice and integral octonions. The sporadic SICs take readers from the classification of finite simple groups to Bell's theorem and the discovery that "hidden variables" cannot explain away quantum uncertainty. While no one department teaches every subject to which the sporadic SICs pertain, the topic is approachable without too much background knowledge. The book includes exercises suitable for an elective at the graduate or advanced undergraduate level.
Author: Blake C. Stacey
Publisher: Springer Nature
ISBN: 3030761045
Category : Science
Languages : en
Pages : 119
Get Book Here
Book Description
This book focuses on the Symmetric Informationally Complete quantum measurements (SICs) in dimensions 2 and 3, along with one set of SICs in dimension 8. These objects stand out in ways that have earned them the moniker of "sporadic SICs". By some standards, they are more approachable than the other known SICs, while by others they are simply atypical. The author forays into quantum information theory using them as examples, and the author explores their connections with other exceptional objects like the Leech lattice and integral octonions. The sporadic SICs take readers from the classification of finite simple groups to Bell's theorem and the discovery that "hidden variables" cannot explain away quantum uncertainty. While no one department teaches every subject to which the sporadic SICs pertain, the topic is approachable without too much background knowledge. The book includes exercises suitable for an elective at the graduate or advanced undergraduate level.
Author: Philipp Berghofer
Publisher: Taylor & Francis
ISBN: 1003824293
Category : Science
Languages : en
Pages : 425
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Book Description
This volume brings together philosophers and physicists to explore the parallels between Quantum Bayesianism, or QBism, and the phenomenological tradition. It is the first book exclusively devoted to phenomenology and quantum mechanics. By emphasizing the role of the subject’s experiences and expectations, and by explicitly rejecting the idea that the notion of physical reality could ever be reduced to a purely third-personal perspective, QBism exhibits several interesting parallels with phenomenology. The central message of QBism is that quantum probabilities must be interpreted as the experiencing agent’s personal Bayesian degrees of belief—degrees of belief for the consequences of their actions on a quantum system. The chapters in this volume elaborate whether and specify how phenomenology could serve as the philosophical foundation of QBism. This objective is pursued from the perspective of QBists engaging with phenomenology as well as the perspective of phenomenologists engaging with QBism. These approaches enable us to realize a better understanding of quantum mechanics and the world we live in, achieve a better understanding of QBsim, and introduce the phenomenological foundations of quantum mechanics. Phenomenology and QBism is an essential resource for researchers and graduate students working in philosophy of physics, philosophy of science, quantum mechanics, and phenomenology.
Author: László Fejes Tóth
Publisher: Springer Nature
ISBN: 3031218000
Category : Mathematics
Languages : en
Pages : 454
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Book Description
The publication of the first edition of Lagerungen in der Ebene, auf der Kugel und im Raum in 1953 marked the birth of discrete geometry. Since then, the book has had a profound and lasting influence on the development of the field. It included many open problems and conjectures, often accompanied by suggestions for their resolution. A good number of new results were surveyed by László Fejes Tóth in his Notes to the 2nd edition. The present version of Lagerungen makes this classic monograph available in English for the first time, with updated Notes, completed by extensive surveys of the state of the art. More precisely, this book consists of: a corrected English translation of the original Lagerungen, the revised and updated Notes on the original text, eight self-contained chapters surveying additional topics in detail. The English edition provides a comprehensive update to an enduring classic. Combining the lucid exposition of the original text with extensive new material, it will be a valuable resource for researchers in discrete geometry for decades to come.
Author: R. M. Green
Publisher: Cambridge University Press
ISBN: 1107026245
Category : Mathematics
Languages : en
Pages : 329
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Book Description
Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.
Author: John Dewey
Publisher: Createspace Independent Publishing Platform
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 456
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Book Description
. Renewal of Life by Transmission. The most notable distinction between living and inanimate things is that the former maintain themselves by renewal. A stone when struck resists. If its resistance is greater than the force of the blow struck, it remains outwardly unchanged. Otherwise, it is shattered into smaller bits. Never does the stone attempt to react in such a way that it may maintain itself against the blow, much less so as to render the blow a contributing factor to its own continued action. While the living thing may easily be crushed by superior force, it none the less tries to turn the energies which act upon it into means of its own further existence. If it cannot do so, it does not just split into smaller pieces (at least in the higher forms of life), but loses its identity as a living thing. As long as it endures, it struggles to use surrounding energies in its own behalf. It uses light, air, moisture, and the material of soil. To say that it uses them is to say that it turns them into means of its own conservation. As long as it is growing, the energy it expends in thus turning the environment to account is more than compensated for by the return it gets: it grows. Understanding the word "control" in this sense, it may be said that a living being is one that subjugates and controls for its own continued activity the energies that would otherwise use it up. Life is a self-renewing process through action upon the environment.
Author: Thorstein Veblen
Publisher:
ISBN:
Category : Leisure class
Languages : en
Pages : 424
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Book Description
Author: J. Joseph Hewitt
Publisher: Routledge
ISBN: 1351554808
Category : Political Science
Languages : en
Pages : 161
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Book Description
Peace and Conflict is a new biennial publication that provides key data and documents trends in national and international conflicts ranging from isolated acts of terrorism to internal civil strife to full-fledged intercountry war. A major trend it tracks is the incidence of wars beyond the protracted conflicts in Iraq and Afghanistan. For 2010, Peace & Conflict adds a new regular feature-Trends in Global Terrorism-and focuses on the theme of Challenges of Post-Conflict Transitions. It covers special topics including women and post-conflict settings, and truth commissions and tribunals. Peace and Conflict is a large format, full-color reference including numerous graphs, tables, maps, and appendices dedicated to the visual presentation of data. Crisp narratives are highlighted with pull-quote extracts that summarize trends and major findings such as the continuing increase in high casualty terrorist acts and the likelihood of genocide risk in certain areas.
Author: Mark Ronan
Publisher: Oxford University Press
ISBN: 0192807234
Category : Biography & Autobiography
Languages : en
Pages : 264
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Book Description
In an exciting, fast-paced historical narrative ranging across two centuries, Ronan takes readers on an exhilarating tour of this final mathematical quest to understand symmetry.
Author: Everett Jenkins, Jr.
Publisher: McFarland
ISBN: 078645038X
Category : Social Science
Languages : en
Pages : 639
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Book Description
This third volume of the Pan-African Chronology set covers 1914 through 1929, a time of two seminal events: World War I and the Black Awakening. In World War I, people of African descent fought for both sides, earning distinction on the battlefields of France as well as in the jungles and deserts of Africa. The "Black Awakening," a period from 1919 through 1929, marked the dawning of global awareness of the contributions of African people to the culture of the world. The book is arranged by year and events of each year are grouped by region. It also has two special biographical divisions for W.E.B. DuBois and Marcus Garvey.
Author: Mario Livio
Publisher: Simon and Schuster
ISBN: 0743274628
Category : Mathematics
Languages : en
Pages : 367
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Book Description
What do Bach's compositions, Rubik's Cube, the way we choose our mates, and the physics of subatomic particles have in common? All are governed by the laws of symmetry, which elegantly unify scientific and artistic principles. Yet the mathematical language of symmetry-known as group theory-did not emerge from the study of symmetry at all, but from an equation that couldn't be solved. For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two great prodigies ultimately proved that the quintic cannot be solved by a simple formula. These geniuses, a Norwegian named Niels Henrik Abel and a romantic Frenchman named Évariste Galois, both died tragically young. Their incredible labor, however, produced the origins of group theory. The first extensive, popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.
