Special Issue "Quantum Statistical Inference"


A special issue of Axioms (ISSN 2075-1680).

Deadline for manuscript submissions: closed (31 March 2015)

Special Issue Editor

Guest Editor
Dr. James D. Malley
Research Mathematical Statistician Building 12A, Room 2052 Mathematical and Statistical Computing Laboratory Division of Computational Bioscience Center for Information Technology National Institutes of Health Bethesda, MD 20892 USA
Phone: 301-496-9934

Special Issue Information

Dear Colleagues,

As quantum information theory advances, as new experimental quantum protocols are devised, and as the reality of practical quantum computing approaches, it is important to match these developments with appropriate statistical and data analysis methods. For this Special Issue the topic is understood to cover: advances in the probabilistic foundations of quantum mechanics; new developments for statistical methods and data analysis of quantum outcomes; quantum information perspectives on the analysis quantum outcomes and experiment; examination of classical statistical methods that have possible application to quantum outcomes and decisions, such as quantum based statistical learning machines, and Bayesian quantum state estimation. The emphasis in this Special Issue will be on experiment and applications of theory that advance our understanding of what quantum data can mean and how it might be used. More speculative revisions of the foundations of quantum mechanics are not obviously included in this discussion, unless grounded in current experiment or near term realizations of the proposed ideas and methods.

Dr. James D. Malley
Guest Editor


Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. Papers will be published continuously (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are refereed through a peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Axioms is an international peer-reviewed Open Access quarterly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 300 CHF (Swiss Francs). English correction and/or formatting fees of 250 CHF (Swiss Francs) will be charged in certain cases for those articles accepted for publication that require extensive additional formatting and/or English corrections.

Published Papers (5 papers)

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Displaying article 1-5
p. 102-119
Axioms 2015, 4(1), 102-119; doi:10.3390/axioms4010102
Received: 10 December 2014 / Revised: 19 February 2015 / Accepted: 2 March 2015 / Published: 9 March 2015
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(This article belongs to the Special Issue Quantum Statistical Inference)
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p. 1-29
by  and
Axioms 2015, 4(1), 1-29; doi:10.3390/axioms4010001
Received: 3 September 2014 / Accepted: 18 December 2014 / Published: 25 December 2014
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(This article belongs to the Special Issue Quantum Statistical Inference)
p. 244-259
Axioms 2014, 3(2), 244-259; doi:10.3390/axioms3020244
Received: 2 April 2014 / Revised: 20 May 2014 / Accepted: 20 May 2014 / Published: 26 May 2014
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(This article belongs to the Special Issue Quantum Statistical Inference)
p. 166-176
by  and
Axioms 2014, 3(2), 166-176; doi:10.3390/axioms3020166
Received: 2 December 2013 / Revised: 1 March 2014 / Accepted: 2 April 2014 / Published: 15 April 2014
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(This article belongs to the Special Issue Quantum Statistical Inference)
p. 477-489
Axioms 2013, 2(4), 477-489; doi:10.3390/axioms2040477
Received: 26 October 2013 / Revised: 28 November 2013 / Accepted: 10 December 2013 / Published: 13 December 2013
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

Type of paper: Article
Title: The Universe as a Quantum Computer
Author: Stanley P. Gudder
Abstract: This article presents a sequential growth model for the universe that acts like a quantum computer. The basic constituents of the model are a special type of causal set (causet) called a \(c\)-causet. A \(c\)-causet is defined to be a causet that is independent of its labeling. We characterize \(c\)-causets as those causets that form a multipartite graph or equivalently those causets whose elements are comparable whenever their heights are different. We show that a \(c\)-causet has precisely two \(c\)-causet offspring. It follows that there are \(2^n\) \(c\)-causets of cardinality \(n+1\). This enables us to classify \(c\)-causets of cardinality \(n+1\) in terms of \(n\)-bits. We then quantize the model by introducing a quantum sequential growth process. This is accomplished by replacing the \(n\)-bits by \(n\)-qubits and defining transition amplitudes for the growth transitions. We mainly consider two types of processes called stationary and completely stationary. We show that for stationary processes, the probability operators are tensor products of positive rank-1 qubit operators. Moreover, the converse of this result holds. Simplifications occur for completely stationary processes. We close with examples of precluded events.

Last update: 17 October 2014

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