Divergent is a captivating, fascinating book that kept me in constant suspense and was never short on surprises. By divergentandsuch ongoing updated jan 23, 2014 embed story share via email. The glorious incoherence of divergent the atlantic. Divergent book the ending jeanine matthews, the leader of erudite, activates a serum that induces a simulation in almost every member of the dauntless faction. Find all the books, read about the author, and more.
Divergent is the debut novel of american novelist veronica roth, published by harper collins childrens books in 2011. Veronica roth has 45 books on goodreads with 89757 ratings. Distributed by summit entertainment and lionsgate films, the series consists of three science fiction action films set in a dystopian society. The general lessons one can learn from this connection are drawn out for quantum field theories. This result applies to both classical and quantum systems.
We calculate the quantum renyi entropy in a phase space representation for either fermions or bosons. Thermodynamic singularities in the entanglement entropy at. This cusp singularity for the random case is also derived via the strong disorder renormalization approach. Convexity properties of the quantum renyi divergences. We study the bipartite entanglement entropy of the twodimensional 2d transversefield ising model in the thermodynamic limit using series expansion methods. Abdul jabbar this book tells the story of the world in the future is divided into five factions. James dashner, author of the maze runner wellwritten and brilliantly executed, divergent is a heartpounding debut that cannot be missed. But why not call this book beatrice or dauntlessthose arent names and words we hear that much, either but why not call this book beatrice or dauntlessthose arent names and words we hear that much, either. Quantum entanglement is fragile to thermal fluctuations, which raises the question whether finite temperature phase transitions support longrange entanglement similar to their zero temperature counterparts. Mar 21, 2014 veronica roth, who wrote the book divergent and its two hotselling followups, tends to avoid mentioning the hunger games, but the similarities between these youngadult juggernauts. Anomalies in theentanglement propertiesof thesquare. Renyi extrapolation of shannon entropy open systems.
The divergent series is a really young adult book, conveying with it every one of the tropes and ideological flawlessness fundamental when composing sixteen year olds. Typical of the explanations is this summary of hardys divergent series book, just plowing right ahead without explaining or justifying the concepts. In fact, aside from condensing a few characters and plot points, the movie is spot on. Entropies quantify the diversity, uncertainty, or randomness of a system.
This cusp singularity for the random case is also derived via the strong disorder renormalization. There is, however, another relative entropy, called the 0relative renyi entropy, which plays a key role in the analysis of various quantum informationprocessing tasks in the oneshot setting. Recently, an interesting quantity called the quantum renyi divergence or sandwiched renyi relative entropy was defined for pairs. The novel takes places in a futuristic version of chicago, illinois, in which the population has been split into five factions. We also resolve the issue of renyi entropy around q 1 in n 4 superyangmills theory. Supersymmetric dualities and quantum entanglement in conformal field theory. Identity, choice, and divergence in a way, divergent is a book about choosing who you are. A companion volume to the worldwide bestselling divergent series, told from the perspective of tobias. Pdf linear entropy in quantum phase space researchgate. Litcharts assigns a color and icon to each theme in divergent, which you can use to track the themes throughout the work. The divergent trilogy is a series of young adult science fiction adventure novels by american novelist veronica roth set in a postapocalyptic dystopian chicago.
The four pieces includedthe transfer, the initiate, the son, and the traitorplus three additional exclusive scenes, give readers a fascinating glimpse into the history and heart of tobias, and set. The cast of divergent include shailene woodley, theo james, zoe kravitz, ansel elgort, jai courtney, ashley judd, tony goldwyn, kate winslet, maggie q, miles teller and ray stevenson. Divergent also nicely refers to tris, who is a divergent and b the main character. It will be a long time before i quit thinking about this haunting vision of the future. The renyi entropy is important in ecology and statistics as index of diversity. Part of the springerbriefs in mathematical physics book series briefsmaphy, volume 5 abstract shannon entropy as well as conditional entropy and mutual information can be compactly expressed in terms of the relative entropy, or kullback leibler divergence. Quantum information processing with finite resources by marco tomamichel, 9783319218908, available at book depository with free delivery worldwide. Tigers curse, the mortal instruments, the infernal devises, the lunar chronicles, the magisterium, percy jackson series, the divergent trilogy, the sword of truth, the dark tower, the warrior cats, a s.
On the other hand, when the black holes are surrounded by a bath of thermal radiation. Divergent is a book about a girl, who, as you may know, choses recklessness and violence above a peaceful structured life with her family. Katherine tegen books harper teen publication date. She uses some devices that fans of dystopian novels will recognize a compartmentalized society, a misfit protagonist, dangerous secrets, and a cliffhanger ending but still manages to create an unstoppable plot. The trilogy consists of divergent 2011, insurgent 2012 and allegiant 20. Recently, an interesting quantity called the quantum renyi divergence or sandwiched renyi relative entropy was defined for pairs of positive semidefinite operators. Each faction has a different persona and a different role in the city. Shannon and renyi entropies of the ground state via real space renormalization c ecile monthus.
Entanglement and shannon entropies in lowdimensional quantum. This dystopian series set in a futuristic chicago has captured the hearts of millions of teen and adult readers. The divergent series is a feature film trilogy based on the divergent novels by the american author veronica roth. Roth, who wrote the book as a college student, has earned a tremendous amount of first book buzz, and the hype is welldeserved. Investigating properties of a family of quantum renyi divergences.
Thermodynamics, stability and hawkingpage transition of. This book aims to present the best contemporary practices in the use of tensor networks as a reasoning. We prove that the 0relative renyi entropy is obtainable from the quantum renyi divergence only if \rho\ and \sigma\ have equal supports. Divergent is a book that is accurately represented by a bold fiery symbol and a skyline and a gathering storm. Jun, 20 the renyi entropies constitute a family of information measures that generalizes the wellknown shannon entropy, inheriting many of its properties. Expansions are developed for the renyi entropy around both the smallfield and largefield limits, allowing the separate calculation of the entanglement associated with lines and corners at the boundary between subsystems. In information theory, the renyi entropy generalizes the hartley entropy, the shannon entropy, the collision entropy and the minentropy. Divergent series are in general something fatal, and it is a disgrace to base any proof on them.
Mathematically, we can express this result as follows. Within the context of the adscft correspondence, it is shown how quantum entanglement is computed by the area of certain extremal surfaces. Various generalizations of renyi entropies to the quantum setting have. Mar 24, 2014 the disjointed world of the popular scifi series doesnt make for a great movie, but it embraces the idea that, in youngadult fiction, its up to the audience to fill in the blanks. Quantum steins lemma parent quantity for entropic quantities such as conditional entropy and mutual information generalization. Renyi divergence and kullbackleibler divergence article in ieee transactions on information theory 607. As well as the absolute renyi entropies, renyi also defined a spectrum of divergence measures generalising the kullbackleibler divergence. Keywords and phrases quantum renyi divergences, steins lemma. Artikelen van divergent koop je eenvoudig online bij. Dystopian, speculative fiction, young adult publisher. Mar 20, 2015 having read and genuinely enjoyed divergent, i was slightly disappointed by insurgent, which doesnt feel nearly as inventive or fresh as the first book but still ends on an awesome. This book provides a comprehensive overview of developments in the field of holographic entanglement entropy. Entropy inequalities and quantum field theory horacio casini instituto balseiro, centro atomico bariloche, argentina entanglement entropy area law.
Relative entropies and their use in quantum information theory arxiv. Here we use quantum monte carlo simulations to study the third renyi negativity, a generalization of entanglement negativity, as a proxy of mixedstate entanglement in the 2d transverse. Pgtheres some kissing and some straddling and theres some talk about sex. Supersymmetric dualities and quantum entanglement in conformal. They appear in the form of unconditional and conditional entropies, relative entropies or mutual information, and have found many applications in information theory and beyond. Renyi divergence and kullbackleibler divergence request pdf. Citeseerx document details isaac councill, lee giles, pradeep teregowda. Quantum information processing with finite resources. In the context of fractal dimension estimation, the renyi entropy forms the basis of the concept of generalized dimensions. Divergent is a dystopian novel in which all of society is divided into five factions, based on the dominant aspect of ones personality. The simulation means they are aware of whats going on, but unable to control their actions.
Mar 20, 2014 fans of the trilogy will be happy to know that divergent closely follows the original story by veronica roth. Strong converse theorems in quantum information theory. Callan, f wilczek, hepth9401072 entropy inequalities two states, one region positivity and monotonicity of relative inequalities and quantum field theory horacio casini instituto balseiro, centro atomico. But it is also about a girl who is somewhat isolated, in character if not literally, who marks herself with the figurative representation of one of her worst fears the birds.
The renyi entropy is also important in quantum information, where it can be used as a measure of entanglement. Why divergent will fail to replicate the success of twilight and the hunger games lions gates latest adaptation of a popular young adult book series is picking up steam. The novel divergent features a postapocalyptic version of chicago and follows beatrice tris prior as she. Here are other interesting facts about divergent to notice. The novel is the first of the divergent trilogy, a series of young adult dystopian novels set in a divergent universe. The story and characters, constantly essential in a ya book, and they are splendid.
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