Citation:Banerjee, S., Chandrashekar C. M. and Pati, A. K. (2013) 'Enhancement of geometric phase by frustration of decoherence: A Parrondo-like effect', Physical Review A, 87(4), 042119. (5pp). doi: 10.1103/PhysRevA.87.042119
Geometric phase plays an important role in evolution of pure or mixed quantum states. However, when a system undergoes decoherence the development of geometric phase may be inhibited. Here we show that when a quantum system interacts with two competing environments there can be enhancement of geometric phase. This effect is akin to a Parrondo-like effect on the geometric phase which results from quantum frustration of decoherence. Our result suggests that the mechanism of two competing decoherence can be useful in fault-tolerant holonomic quantum computation.
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