Quantum Error Correcting Codes From The Compression Formalism

We solve the fundamental quantum error correction problem for bi-unitary channels on two-qubit Hilbert space. By solving an algebraic compression problem, we construct qubit codes for such channels on arbitrary dimension Hilbert space, and identify correctable codes for Pauli-error models not obtained by the stabilizer formalism. This is accomplished through an application of a new tool for error correction in quantum computing called the ``higher-rank numerical range''. We describe its basic properties and discuss possible further applications.Comment: 8 pages, 2 figures, Rep. Math. Phys., to appea

Quantum Algorithm for SAT Problem and Quantum Mutual Entropy

It is von Neumann who opened the window for today's Information epoch. He defined quantum entropy including Shannon's information more than 20 years ahead of Shannon, and he introduced a concept what computation means mathematically. In this paper I will report two works that we have recently done, one of which is on quantum algorithum in generalized sense solving the SAT problem (one of NP complete problems) and another is on quantum mutual entropy properly describing quantum communication processes.Comment: 19 pages, Proceedings of the von Neumann Centennial Conference: Linear Operators and Foundations of Quantum Mechanics, Budapest, Hungary, 15-20 October, 200

Valid Toolkit for Assessing Cognitive Functions and Speech Status of Children with Various Pathologies

A review of modern Russian methods for diagnosing and evaluating speech pathologies is presented. Classifications of speech disorders from the standpoint of clinical practice, pedagogy, psychology, speech therapy and linguistics are considered. The relevance of the study is determined by the need to systematize the existing diagnostic material of speech disorders and its description. The works presented at the moment, devoted to the topic, are fragmented and incomplete, which is explained by their practice-oriented nature. Methods of different authors have a similar structure and include tests to assess cognitive, speech and neurodynamic functions. It is noted that the biggest drawback today in the clinical theory and practice of diagnosing speech disorders can be called a large number of diagnostic methods for patients with aphasia and their almost complete absence for patients with speech disorders caused by other diseases or conditions. The main part of the article is devoted to a detailed description of traditional and relatively recently developed by Russian practitioners and theorists of test batteries for diagnosing speech disorders. The review of the methods and their analysis made it possible to highlight a number of common features, determine gaps and identify a number of tasks for their subsequent joint solution by specialists in the field of medicine and linguistics

Albert Pierrepoint and the cultural persona of the twentieth-century hangman

Albert Pierrepoint was Britain’s most famous 20th-century hangman. This article utilises diverse sources in order to chart his public representation, or cultural persona, as hangman from his rise to prominence in the mid-1940s to his portrayal in the biopic Pierrepoint(2005). It argues that Pierrepoint exercised agency in shaping this persona through publishing his autobiography and engagement with the media, although there were also representations that he did not influence. In particular, it explores three iterations of his cultural persona – the Professional Hangman, the Reformed Hangman and the Haunted Hangman. Each of these built on and reworked historical antecedents and also communicated wider understandings and contested meanings in relation to capital punishment. As a hangman who remained in the public eye after the death penalty in Britain was abolished, Pierrepoint was an important, authentic link to the practice of execution and a symbolic figure in debates over reintroduction. In the 21st century, he was portrayed as a victim of the ‘secondary trauma’ of the death penalty, which resonated with worldwide campaigns for abolition