Disorder in Domain Theory

Domain theory, which studies ordered sets with mathematical structure, is connected to quantum information science and the concept of disorder. The author argues that domain theory and quantum information science do not exist, but the book has a purpose and method. The author hopes to convince the uninitiated to take a look at the potential for domain theoretic structure in quantum mechanics and to prove the claim to the point that people will dismiss it as a well-known idea.

\n Format: Paperback / softback
\n Length: 68 pages
\n Publication date: 30 September 2018
\n Publisher: Morgan & Claypool Publishers
\n

Domain theory, a field that emerged in response to natural concerns in the semantics of computation, delves into the study of ordered sets that exhibit an exceptional level of mathematical structure. This comprehensive book explores the intricate relationship between domain theory and quantum information science, shedding light on the concept of disorder that connects them.

While it may be argued that the subjects of domain theory and quantum information science do not truly exist, this work serves a purpose and possesses a certain methodology. It aims to persuade the uninitiated to take a closer look at these topics. Within the realm of domain theory, there exists a belief that quantum mechanics possesses substantial domain theoretic structure, and that by studying this structure, we can gain valuable insights.

Twenty years ago, I made an unsuccessful attempt to prove a claim that I firmly hold to this day: that there is significant domain theoretic structure in quantum mechanics, and that by understanding it, we can learn a great deal. One day, this claim will be proven beyond a doubt, rendering it a well-known notion that many, including myself, had long suspected but never took the time to document. It may even be deemed obvious! However, I will not burden you with a brief history lesson on why this claim is not immediately apparent, except to note that our primary focus has always been on establishing its validity rather than solely on proving its difficulty.

This book serves as a documentation of various endeavors on my part to achieve this validation. It encompasses a range of approaches, methodologies, and insights, all aimed at unraveling the mysteries of the interplay between domain theory and quantum information science. Through these efforts, we hope to shed light on the complex relationship between disorder and the mathematical structure inherent in quantum systems, paving the way for new discoveries and advancements in the field.

\n Weight: 160g\n
Dimension: 179 x 254 x 5 (mm)\n
ISBN-13: 9781643272719\n \n