- #1
MathematicalPhysicist
Gold Member
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what are they ?
i know they are related to quantum theory.
i know they are related to quantum theory.
Originally posted by PRodQuanta
Why explain shortly and possibly misinterpret when YOU can read?
Here you go: http://arxiv.org/PS_cache/quant-ph/pdf/0101/0101012.pdf
Enjoy
Paden Roder
http://arxiv.org/quant-ph/0101012
Central to the axioms are two inte-
gers K and N which characterize the type of system
being considered.
* The number of degrees of freedom, K, is defined
as the minimum number of probability measure-
ments needed to determine the state, or, more
roughly, as the number of real parameters re-
quired to specify the state.
* The dimension, N, is defined as the maximum
number of states that can be reliably distinguished from one another in a single shot measurement.
We will only consider the case where the number
of distinguishable states is finite or countably infinite. As will be shown below, classical probability theory has K = N and quantum probability theory has K = N2 (note we do not assume that states are normalized).
i agree with you.Originally posted by marcus
I wouldn't always want to start downloading a PDF file from arxiv without first
looking at the abstract. Some articles have hundreds of pages.
And the title and brief summary can sometimes tell you enough. Here is the abstract for what Paden recommends reading. If you like the short summary in the abstract then click on "PDF" button right below it.
http://arxiv.org/quant-ph/0101012
Hardy's Axioms are a set of principles that provide a framework for understanding the fundamental elements of quantum theory. They help to explain concepts such as non-locality, entanglement, and uncertainty, which are crucial for understanding the behavior of quantum systems. By following these axioms, scientists are able to make accurate predictions and further advance our understanding of the quantum world.
There are 6 main components of Hardy's Axioms: preparation, measurement, state space, evolution, composition, and dynamics. These components help to describe the key elements of quantum theory and how they interact with each other. They provide a mathematical framework for understanding the behavior of quantum systems.
Hardy's Axioms have been extensively tested and verified through experiments and observations in the field of quantum physics. These experiments have shown that the predictions made by the axioms are consistent with real-world quantum behavior. Additionally, the mathematical framework of the axioms has been validated through rigorous mathematical proofs and calculations.
Hardy's Axioms have numerous real-world applications, particularly in fields such as quantum computing, cryptography, and communication. By understanding the principles outlined in the axioms, scientists are able to develop new technologies and applications that harness the unique properties of quantum systems.
While Hardy's Axioms have been widely accepted and validated, there have been some criticisms of certain aspects of the framework. Some scientists argue that the axioms may not fully capture the complexity of quantum behavior, and that further developments and refinements may be necessary. However, overall, Hardy's Axioms have proven to be a valuable tool for understanding and advancing our knowledge of quantum theory.