Physics – Quantum Physics
Scientific paper
2011-10-14
Physics
Quantum Physics
Format changed into two columns in the text, with 6 figures embedded
Scientific paper
The observation that concepts from quantum information has generated many alternative indicators of quantum phase transitions hints that quantum phase transitions could possess operational significance with respect to the processing of quantum information. Yet, there has remained few studies on whether the different quantum phases that result from such transitions differ in their capacity to process information. We show there exists quantum phase transitions that cause a distinct qualitative change in our ability to simulate certain quantum systems under perturbation of an external field by local operations and classical communication. In particular, by studying the general XY model we show that in certain quantum phases, the effect of adiabatic perturbations of the external magnetic field can be simulated by local spin operations, whereas the resulting effect within other phases results in fundamentally non-local interactions. We discuss the potential implications of such phase transitions to adiabatic quantum computation, where a computational advantage exists only when adiabatic perturbation of ground states results in multi-body interactions.
Cui Jian
Fan Heng
França Santos Marcelo
Gu Mile
Kwek Leong Chuan
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