Quantum phases with differing computational power

Jian Cui (), Mile Gu, Leong Chuan Kwek, Marcelo França Santos, Heng Fan and Vlatko Vedral
Additional contact information
Jian Cui: Institute of Physics, Chinese Academy of Sciences
Mile Gu: Centre for Quantum Technologies, National University of Singapore
Leong Chuan Kwek: Centre for Quantum Technologies, National University of Singapore
Marcelo França Santos: Universidade Federal de Minas Gerais, Belo Horizonte, Caixa Postal 702, 30123-970 Minas Gerais, Brazil.
Heng Fan: Institute of Physics, Chinese Academy of Sciences
Vlatko Vedral: Centre for Quantum Technologies, National University of Singapore

Nature Communications, 2012, vol. 3, issue 1, 1-6

Abstract: Abstract The observation that concepts from quantum information has generated many alternative indicators of quantum phase transitions hints that quantum phase transitions possess operational significance with respect to the processing of quantum information. Yet, studies on whether such transitions lead to quantum phases that differ in their capacity to process information remain limited. Here we show that there exist 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, we show that in certain quantum phases of the XY model, adiabatic perturbations of the external magnetic field can be simulated by local spin operations, whereas the resulting effect within other phases results in coherent non-local interactions. We discuss the potential implications to adiabatic quantum computation, where a computational advantage exists only when adiabatic perturbation results in coherent multi-body interactions.

Date: 2012
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DOI: 10.1038/ncomms1809

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