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Quantum complexity theory tools, goals and challenges

Jozef Gruska

Published Jan 1, 2005• 0 citations
OpenAlex

Abstract

Analysis of methods and results of quantum complexity theory
and their contribution for better understanding of main
theoretical and practical problems in quantum information
processing.

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Quantum information processing and communication(QIPC) is an area of science that has two main goals: On one side,it tries to explore(still not well known) potential of quantum phenomena for(efficient and reliable) information processing and(efficient,reliable and secure) communication.On the other side,it tries to use quantum information storing,processing and transmitting paradigms,principles,laws,limitations,concepts,models and tools to get deeper insights into the phenomena of quantum world and to find efficient ways to describe and handle/simulate various complex physical phenomena.In order to do that QIPC has to use concepts,models,theories,methods and tools of both physics and informatics.The main role of physics at that is to discover primitive physical phenomena that can be used to design and maintain complex and reliable information storing,processing and transmitting systems.The main role of informatics is,one one side,to explore,from the information processing and communication point of view,limitations and potentials of the potential quantum information processing and communication technology,and to prepare information processing methods that could utilise potential of quantum information processing and communication technologies.On the other side,the main role of informatics is to guide and support,by theoretical tools and outcomes,physics oriented research in QIPC.The paper is to describe and analyse a variety of ways and potential informatics contributes and should/could contribute to the development of QIPC--see also Gruska(1999,2006,2008).

•Jan 1, 2011•0 citations
Quantum information processing and communication (QIPC) theory has developed recently very fast and brought a variety of interesting and important results of the great value also for the whole area of quantum physics. One can also say that the field of QIPC has been so far mainly theory driven and the experiments have been mostly done to show that it is indeed possible, and how difficult is to make it, what theory shows as possible. One of the main reasons for such a fast and successful development of the QIPC science is the fact that paradigms, models, concepts, value system, as well as methods and results of the (theoretical) informatics have been intensively used. The goal of this paper is to go behind this successful crusade and applications of the informatics for QIPC and to present, analyse and illustrate the main ideas, concepts, methods and tools that have been involved. All that should help more physics‐oriented researchers in QIPC to understand that in order to explore the quantum world, new paradigms, concepts, models and so on are now available, and they could and should be used, due to the progress in (theoretical) informatics. Our concentration will be not only on what has been achieved, but even more on the main new challenges. In doing that we will concentrate more on the backgrounds, motivations, goals and implications than on the very technical results.
Quantum information processing and communication(QIPC) is an area of science that has two main goals: On one side,it tries to explore(still not well known) potential of quantum phenomena for(efficient and reliable) information processing and(efficient,reliable and secure) communication.On the other side,it tries to use quantum information storing,processing and transmitting paradigms,principles,laws,limitations,concepts,models and tools to get deeper insights into the phenomena of quantum world and to find efficient ways to describe and handle/simulate various complex physical phenomena.In order to do that QIPC has to use concepts,models,theories,methods and tools of both physics and informatics.The main role of physics at that is to discover primitive physical phenomena that can be used to design and maintain complex and reliable information storing,processing and transmitting systems.The main role of informatics is,one one side,to explore,from the information processing and communication point of view,limitations and potentials of the potential quantum information processing and communication technology,and to prepare information processing methods that could utilise potential of quantum information processing and communication technologies.On the other side,the main role of informatics is to guide and support,by theoretical tools and outcomes,physics oriented research in QIPC.The paper is to describe and analyse a variety of ways and potential informatics contributes and should/could contribute to the development of QIPC--see also Gruska(1999,2006,2008).