Quon Pictorial Language, Analysis, Quantum Information
Abstract
This study of quon (and other related) pictorial languages and their analytic properties is relevant for mathematics and for quantum information. This proposal includes investigating both properties and applications of the 2D ``charged-string language and the 3D ``quon language, both of which the proposer formulated in recent publications. It is surprising that analysis is applicable to picture languages. Questions in the proposal focus on the new subject of quantum Fourier analysis. This includes establishing new bounds on a geometric (pictorial) Fourier transformation, as well as finding related quantum uncertainty principles. One wishes to apply these inequalities to quantum information, and to address issues quantum error correction and other relevant areas of quantum complexity and effectiveness. One also wants to discover other new languages that can be effective in fields of mathematics related to quantum information. If this program is successful, then one can imagine that five to ten years down the line, it will have contributed to resolving some current obstacles to quantum computation. On the one hand it would provide insight into optimizing quantum error correction, currently a major issue. In addition, it could provide new and intuitive insight into understanding several mathematical questions revolving about quantum uncertainty.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jun 25, 2019
- Source ID
- W911NF1910302
Entities
People
- Arthur Jaffe
Organizations
- Army Contracting Command
- Harvard University
- United States Army