Geometry of Quantum States

An Introduction to Quantum Entanglement

By Ingemar Bengtsson,Karol Zyczkowski | Publisher: Cambridge University Press

About the book

Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; indepth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and KochenSpecker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' nonadditivity theorem. This richlyillustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

Editions of Geometry of Quantum States

Hardcover
ISBN 9781107026254

Read an Excerpt

Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; indepth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and KochenSpecker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' nonadditivity theorem. This richlyillustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

Frequently Asked Questions

What is Geometry of Quantum States about?

Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; indepth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and KochenSpecker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' nonadditivity theorem. This richlyillustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.

What core themes, tropes, or subjects are explored in Geometry of Quantum States?

Mathematics and Science > Physics > Statistical physics

Where can I read a sample of Geometry of Quantum States?

You can read an official preview of the few pages here https://www.book2look.com/book/9781107026254

Who is/are the Author/s of the book Geometry of Quantum States?

Ingemar Bengtsson,Karol Zyczkowski

Who is the Publisher of the book Geometry of Quantum States?

Cambridge University Press

What are the ISBN numbers for the physical and digital editions?

Geometry of Quantum States is available as hardcover(ISBN 9781107026254)