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Quantum Mechanics: a new turn in probability theory and information processing

Federico Holik, Angel Ricardo Plastino

Published Jan 1, 2014• 0 citations
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Introduction Quantum information theory is the study of how the peculiar features of quantum mechanics can be exploited for the purposes of information processing and transmission. A central theme of such a study is the ways in which quantum mechanics opens up possibilities that go beyond what can be achieved classically. This has in turn led to a renewed interest in, and a new perspective on, the differences between the classical and the quantum. Although much of the work along these lines has been motivated by quantum information theory – and some of it has been motivated by the conviction that quantum theory is essentially about possibilities of information processing and transmission – the results obtained, and the frameworks developed, have interest even for those of us who are not of that conviction. Indeed, much of the recent work echoes, and builds upon, work that predates the inception of quantum information theory. The significance of such work extends beyond the setting of quantum information theory; the work done on distinguishing the quantum from the classical in the context of frameworks that embrace both is something worthy of the attention of anyone interested in the foundational issues surrounding quantum theory. One of the striking features of quantum mechanics lies in its probabilistic character. A quantum state yields, not a definite prediction of the outcome of an experiment, but a probability measure on the space of possible outcomes. Of course, probabilities occur also in a classical context.
In this chapter we review the ideas and discoveries that lead to the development of quantum mechanics. Like other theories in physics, it was motivated by a series of experimental results that were at odds with the prevailing theories of the time. New concepts were introduced to explain those experiments, which in turn led to new experiments and more discoveries. Quantum mechanics took its current shape about 100 years ago and continues to provide a formidable framework for describing not only natural phenomena but also for leading us to new technologies, such as quantum information processing.
I nformation is an idea created in human brain. But information has physical aspects too. Emergence of new theory and technology in physical science always contribute to shape various theories, models and services in LIS. Shannon’s mathematical formula derives strength from the physical aspect of data or information and gives a new information theoretic approach to communication model by introducing concepts of bit and entropy. With the advancement of Quantum mechanics a new quantum mechanical model is under preparation. Phenomenon like quantum entanglement is successfully being used in computer technology which in turn helps reshape many LIS services. Quantum information science is a newly flourishing field which is expected to bring great advancements in information organization, processing, retrieval, automatic classification, NLP and other LIS related problems.