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Multi-Degree-of-Freedom Systems Informatics Lab
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The lab explores the foundations of quantum theory, drawing on a geometric perspective.
AboutAbout the lab
Exploring the foundations of quantum theory with a geometric perspective
Professor Shogo Tanimura studies quantum foundations, which clarifies the basis on which quantum theory stands, in the Multi-Degree-of-Freedom Systems Informatics Lab.
Using Bell's inequalities, uncertainty relations, quantum measurement theory, and related topics, the lab examines the relationship between quantum theory and classical mechanics and thermodynamics, and works to identify the limits of quantum theory.
The lab also studies dynamical systems theory for both quantum and classical systems, aiming to tackle problems in theoretical physics by making use of geometric perspectives and methodologies.
Prof. Tanimura asks that students who wish to join the lab have at least an understanding of linear algebra and calculus, and notes that understanding quantum mechanics makes it easier to carry out research.
Key terms
- quantum foundations
- A field that asks why quantum theory holds, how it relates to other physical theories, and where its limits lie
- Bell's inequalities
- Inequalities used to test through experiments whether the values of physical quantities are already determined before they are measured
- uncertainty relations
- Relations showing that two quantities, such as the position and momentum of an object, cannot both be determined precisely at the same time
- dynamical systems theory
- A theory that uses mathematics to study how the state of a system changes over time
ResearchResearch themes
The lab aims to clarify the foundations on which quantum theory stands, and to examine the relationship between quantum theory and classical mechanics, thermodynamics, and other theories, as well as the limits of quantum theory. Making use of geometric perspectives, it also studies dynamical systems theory for both quantum and classical systems.
*Illustrative imageQuestioning the foundations of quantum theory
The lab aims to clarify the foundations of quantum theory from two sides: its mathematical formulation and the empirical facts that support it. Topics include Bell's inequalities, uncertainty relations, algebraic quantum theory, quantum measurement theory, and weak values.
*Illustrative imageDynamical systems theory for quantum and classical systems
The lab studies dynamical systems theory for both quantum and classical systems. Its strengths are geometric perspectives and methodology, and it aims to address problems across theoretical physics through geometric approaches.
MembersFaculty
- ProfessorShogo Tanimura
VoicesStudent voices
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Report an errorAbout the images
The top and research theme images are illustrative and were not taken at the lab. They are cropped from Wikimedia Commons images. Cropped CC BY-SA images are provided under the same CC BY-SA license as the original (version shown on each line).
- Top image: “Double slit intensity” Bleckneuhaus / CC0 (cropped)
- Questioning the foundations of quantum theory: “Quantum Entangled Photon Generator - DEF CON 17 - Aug. 2009” Nate Grigg from Salt Lake / CC BY 2.0 (cropped)
- Dynamical systems theory for quantum and classical systems: “Pendulum phase space 3D 1” Buc1234 / CC0 (cropped)
- Related lab (多自由度システム情報論講座 中村 泰之): “Tabletunterricht 06” Aigner Ronja, Kohlmeier Michelle / CC0 (cropped)
- Related lab (時田研究室
（Tokita Laboratory） ): “C.elegans-brain-network” Mentatseb / CC BY-SA 3.0 (cropped) - Related lab (
青木研究室 （Aoki Lab） ): “Physcomitrella” Pirex at English Wikipedia / Public domain (cropped) - Related lab (塚本研究室): “Round bottom flask” GOKLuLe / CC BY-SA 3.0 (cropped)
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