Description

The primary objective of our studies is to achieve a deeper theoretical understanding of the geometric phase and its implementation as fast and robust quantum gates in quantum circuits. Several approaches will be explored, including but not limited by the following:

• When we have two or more systems interacting - such as an atom and a quantized field, we can construct a whole range of different geometric phases which can be used to simulate anyonic phases. We shall also investigate the geometric phases induced by quantized fields, simulate two-anyon statistics and study collective effects of many anyons: entanglement and phase transitions
  
  
• The issue of geometric phase for open system is important since all physical systems are essentially open. Although there have been some attempts to address this issue, a complete understanding is somewhat lacking. A good understanding will indeed provide impetus for new ideas in fault tolerant quantum computations.
  
  
• It is envisaged that quantum operations can take advantage of non-Abelian (Yang-Mills) gauge potentials which may provide extra features and may suppress decoherence. We propose to study how a desired Yang-Mills gauge potential may be realized by coupling a fast quantum system to a slow system (which could be described also classically).

CQT people involved in the project

Oh Choo Hiap, Vlatko Vedral, Lai Choy Heng, Kuldip Singh, Kwek Leong Chuan