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Geometric Quantum Computation with Shortcuts to Adiabaticity
Author(s) -
Du Yanxiong,
Liang Zhentao,
Yan Hui,
Zhu Shiliang
Publication year - 2019
Publication title -
advanced quantum technologies
Language(s) - English
Resource type - Journals
ISSN - 2511-9044
DOI - 10.1002/qute.201900013
Subject(s) - quantum decoherence , quantum computer , adiabatic process , quantum process , computation , robustness (evolution) , quantum algorithm , quantum , hamiltonian (control theory) , quantum error correction , adiabatic quantum computation , geometric phase , open quantum system , quantum operation , physics , statistical physics , computer science , quantum mechanics , mathematics , algorithm , quantum dynamics , mathematical optimization , biochemistry , chemistry , gene
Realization of a large‐scale quantum computation relies on fast and high‐fidelity quantum control. Geometric quantum control is thought to be a promising candidate for quantum computation which consolidates the robustness against both random noise (through the global geometrical feature) and systematic errors (through adiabatic characteristic). The adiabatic process of geometric control can be accelerated through an auxiliary Hamiltonian in different scenarios by means of shortcuts to adiabaticity (STA). Especially, the auxiliary Hamiltonian can be absorbed into the original interacting configuration in most of the cases, which allows STA to coalesce with the Abelian or the non‐Abelian geometric control. As a consequence, geometric quantum control can have an enhanced robustness against decoherence after speeding up by STA. Here, the recent theoretical and experimental advances in geometric quantum computation based on STA are reviewed.