David Sutter – författare

This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality such that it reveals a statement about the reconstruction of lost information. The main difficulty in order to understand the behavior of quantum Markov chains arises from the fact that quantum mechanical operators do not commute in general. As a result we start by explaining two techniques of how to deal with non-commuting matrices: the spectral pinching method and complex interpolation theory. Once the reader is familiar with these techniques a novel inequality is presented that extends the celebrated Golden-Thompson inequality to arbitrarily many matrices. This inequality is the key ingredient in understanding approximate quantum Markov chains and it answers a question from matrix analysis that was open since 1973, i.e., if Lieb's triple matrix inequality can be extended to more than three matrices. Finally, we carefully discuss the properties of approximate quantum Markov chains and their implications.The book is aimed to graduate students who want to learn about approximate quantum Markov chains as well as more experienced scientists who want to enter this field. Mathematical majority is necessary, but no prior knowledge of quantum mechanics is required.

This book is an introduction to quantum Markov chains and explains how this concept is connected to the question of how well a lost quantum mechanical system can be recovered from a correlated subsystem. To achieve this goal, we strengthen the data-processing inequality such that it reveals a statement about the reconstruction of lost information. The main difficulty in order to understand the behavior of quantum Markov chains arises from the fact that quantum mechanical operators do not commute in general. As a result we start by explaining two techniques of how to deal with non-commuting matrices: the spectral pinching method and complex interpolation theory. Once the reader is familiar with these techniques a novel inequality is presented that extends the celebrated Golden-Thompson inequality to arbitrarily many matrices. This inequality is the key ingredient in understanding approximate quantum Markov chains and it answers a question from matrix analysis that was open since 1973, i.e., if Lieb''s triple matrix inequality can be extended to more than three matrices. Finally, we carefully discuss the properties of approximate quantum Markov chains and their implications.The book is aimed to graduate students who want to learn about approximate quantum Markov chains as well as more experienced scientists who want to enter this field. Mathematical majority is necessary, but no prior knowledge of quantum mechanics is required.

The life and career of a producer who sought to bring jazz to the massesCreed Taylor was one of the most successful jazz producers of all time—and one of the most controversial. His career spanned five decades, in which he produced albums with legends such as John Coltrane, Ray Charles, George Benson, Bill Evans, Charles Mingus, Stan Getz, and Nina Simone. In 1960, he famously founded Impulse! Records and signed John Coltrane, and in later years he produced at Verve Records—where he introduced the US to Bossa Nova, producing "The Girl from Ipanema"—and ultimately founded Creed Taylor Incorporated, which defined the sound of jazz during the 1970s. One of the most sought-after jazz producers, he had a knack for enhancing an artist's commercial appeal without sacrificing their creativity. Yet his approach did not win universal acclaim: having vastly expanded the audience for jazz, he also earned the scorn of genre purists who distrusted his commercial success.Written with the full cooperation of Taylor’s estate, and based on years of interviews, this first biography of the man illuminates an era of dramatic change within jazz music. From Taylor’s childhood in Appalachia to his decades-long career at some of the genre’s most important labels, David Sutter’s painstakingly researched book tells the full story of a man who did as much as anyone to broaden the audience for jazz.