Workshop on Quantum Probability and Infinite Dimensional Analysis
Abstract
The workshop will be a follow-up to the 40th International Conference on Quantum Probability and Infinite Dimensional Analysis (QP40) that took place at The Ohio State University in Columbus, August 12-16, 2019. It will be the first in-person forum bringing together researchers in the broad area of Quantum Probability (QP) and Infinite Dimensional Analysis in the United States since the Covid pandemic. Quantum Probability grew out of the foundations of quantum theory laid by John von Neumann at about the same time as Andrei Kolmogorov founded classical probability as an axiomatic mathematical discipline. QP took shape as a distinct mathematical theory much later, in the late 1960s. It is only in the past 25 years that QP has grown rapidly, mainly through research activities in Europe and Asia. Indeed, QP40 was likely the first major conference in the field to be held in the US. In the workshop, we plan to build on the success of the QP40 conference, bringing together researchers from outside the US and those interested in the field in the US. The main broader objective of this workshop is to promote Quantum Probability in the diverse US research community. Scientific objectives of the workshop include the study of: (i) operators arising from probability measures; (ii) quantum operators such as creation, preservation, annihilation, and number operators; (iii) commutation and q-commutation relationships among the quantum operators; (iv) new physical interpretations about interacting systems, advancing the understanding of the quantum Markov chains or fields; (v) Wick products and inequalities; (vi) "exotic Laplacians"; (vii) finite and infinite-dimensional analysis broadly related to quantum contexts; (viii) relationship with quantum computing and information theory. The workshop will include formal presentations as well as opportunities for informal interaction among experts, interested researchers, and new researchers, including students. It is expected that findings presented at the workshop and growing out of interactions at the workshop will be published in peer reviewed journals or other similar forums. The significance of this workshop is four-fold: (a) bringing together researchers in classical and Quantum Probability to lower knowledge-barriers between these communities; (b) giving a strong impetus to grow research in QP in the United States, which is absolutely necessary to keep up with the broader advances being made in the field elsewhere in the world; (c) creating intellectual synergy at the interface of quantum computing/information theory and QP and infinite-dimensional analysis; (d) enhancing human scientific interaction between researchers in the US and internationally through the in-person gathering.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Apr 19, 2023
- Source ID
- W911NF2310126
Entities
People
- Aurel Stan
Organizations
- Army Contracting Command
- Ohio State University
- United States Army