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报告题目:
One-way Quantum Computing with Valence Bond Solids
 报告人:
Bei Zeng (曾蓓)
Institute for Quantum Computing,University of Waterloo, Canada
报告时间:
2010-04-08 16:00
报告地点:
理学院报告厅(郑裕彤讲堂)
主办单位:
物理系
  简介:

报告人介绍:Bei Zeng received the B.Sc. degree in physics and mathematics and M.Sc. degree in physics from Tsinghua University, Beijing, China, in 2002 and 2004, respectively. She received the Ph.D. degree in physics from Massachusetts Institute of Technology (MIT), Cambridge, Massachusetts, USA, in 2009. She is currently a postdoctoral fellow at the Institute for Quantum Computing (IQC) and the department of combinatorics & optimization, University of Waterloo, Waterloo, Ontario, Canada. In September 2010, She will join the department of mathematics & statistics at the University of Guelph, Guelph, Ontario, Canada, as an assistant professor. She is working on quantum information theory, quantum computation, coding theory, foundations of quantum mechanics, and mathematical physics.

报告摘要:One-way quantum computing, which requires only single particle measurements on a universal resource state to achieve the full power of quantum computing, has been recognized as one of the most promising models for the physical realization of quantum computers. Is it possible to reduce the task of generating resource states simply to cooling a strongly-correlated quantum many-body system to its ground state? Such an approach would be remarkably valuable, if only the resource state were thermodynamically stable and experimentally accessible. We discuss some recent efforts of finding such states, based on the picture of valence bond solids first described by Affleck, Kennedy, Lieb, and Tasaki (AKLT). We show, in a transparent way, how the AKLT state can be used as a resource state on a one dimensional chain. We further introduce a resource state and a Hamiltonian, which correspond to particles on a hexagonal lattice, each of which can adopt six possible states. This resource state possesses many sought after properties. That is, it is the exact unique ground state of the Hamiltonian, which involves only two-body nearest-neighbor interactions and has a fixed energy gap between its ground state and its first excited state, so it is robust to thermal noises. The tools used to construct this state open the way for simpler versions and link the fields of condensed matter and quantum information.

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