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Physical Sciences and Mathematics Commons

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Full-Text Articles in Physical Sciences and Mathematics

Information-Preserving Structures: A General Framework For Quantum Zero-Error Information, Robin Blume-Kohout, Hui Khoon Ng, David Poulin, Lorenza Viola Dec 2010

Information-Preserving Structures: A General Framework For Quantum Zero-Error Information, Robin Blume-Kohout, Hui Khoon Ng, David Poulin, Lorenza Viola

Dartmouth Scholarship

Quantum systems carry information. Quantum theory supports at least two distinct kinds of information (classical and quantum), and a variety of different ways to encode and preserve information in physical systems. A system’s ability to carry information is constrained and defined by the noise in its dynamics. This paper introduces an operational framework, using information-preserving structures, to classify all the kinds of information that can be perfectly (i.e., with zero error) preserved by quantum dynamics. We prove that every perfectly preserved code has the same structure as a matrix algebra, and that preserved information can always be corrected. We …


Qed Corrections Of Order Α(Zα)²EF To The Hyperfine Splitting Of P1/2 And P3/2 States In Hydrogenlike Ions, Ulrich D. Jentschura, Vladimir A. Yerokhin Jan 2010

Qed Corrections Of Order Α(Zα)²EF To The Hyperfine Splitting Of P1/2 And P3/2 States In Hydrogenlike Ions, Ulrich D. Jentschura, Vladimir A. Yerokhin

Physics Faculty Research & Creative Works

The hyperfine structure (HFS) of a bound electron is modified by the self-interaction of the electron with its own radiation field. This effect is known as the self-energy correction. In this work, we discuss the evaluation of higher order self-energy corrections to the HFS of bound P states. These are expressed in a semianalytic expansion involving powers of Zα and ln(Zα), where Z is the nuclear charge number and α is the fine-structure constant. We find that the correction of relative order α (Zα)2 involves only a single logarithm ln(Zα) for P1/2 states [but no term of order …