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Observation of geometric phases for mixed states using NMR interferometry

Du, J F and Zou, P and Shi, M J and Kwek, L C and Pan, J W and Oh, C H and Ekert, A and Oi, D K L and Ericsson, M (2003) Observation of geometric phases for mixed states using NMR interferometry. Physical Review Letters, 91 (10). -. ISSN 0031-9007


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Examples of geometric phases abound in many areas of physics. They offer both fundamental insights into many physical phenomena and lead to interesting practical implementations. One of them, as indicated recently, might be an inherently fault-tolerant quantum computation. This, however, requires one to deal with geometric phases in the presence of noise and interactions between different physical subsystems. Despite the wealth of literature on the subject of geometric phases very little is known about this very important case. Here we report the first experimental study of geometric phases for mixed quantum states. We show how different they are from the well-understood, noiseless, pure-state case.