Perspective on Time, Uncertainty and Quantum computation

Scope

The main themes of the workshop will include the theoretical foundations of time operators and uncertainty relations, as well as experimental demonstrations using quantum computers. Theoretical studies of the Rabi model will also be featured as one of the key topics, given its relevance as a foundational model in quantum computing.

In 2025, we commemorate the 100th anniversary of the discovery of the matrix mechanical formulation of quantum phenomena by Heisenberg, Born, and Jordan. This workshop aims to foster multifaceted discussions, ranging from pure mathematics to experimental physics, on fundamental concepts in quantum mechanics such as time and measurement, as well as cutting-edge topics including quantum walks and quantum computers. By addressing a wide spectrum of themes -- including experimental verification of time operators, novel developments in measurement theory based on Ozawa inequality, the mathematics of quantum walks, quantum optics exemplified by the quantum Rabi model, and applications of quantum computing to quantum measurement theory. We hope to pave the way toward a new horizon in quantum mechanics.

1. Time Operators

Spectral analysis of time operators and POVMs

Experimental demonstration of the Arai--Miyamoto inequality

Quantum mechanical arrival of time problem

2. Ozawa Inequality and Quantum Measurement Theory

Quantification of error and disturbance via quantum computing

Experimental verification through weak measurement

3. Quantum Rabi Model

Spectral analysis of the quantum Rabi model as a self-adjoint operator

Applications to quantum simulations

4. Quantum Walks

Implementation of quantum computing algorithms via chiral-symmetric quantum walks

Spectral theory and scattering theory

5. Quantum Computing

Experimental demonstration of Ozawa inequality

Fundamental theory of qubits and quantum gates