A topological investigation of the Quantum Adiabatic Phase
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چکیده
منابع مشابه
the investigation of the relationship between type a and type b personalities and quality of translation
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Topological Aspects of the Non-adiabatic Berry Phase
The topology of the non-adiabatic parameter space bundle is discussed for evolution of exact cyclic state vectors in Berry’s original example of split angular momentum eigenstates. It turns out that the change in topology occurs at a critical frequency. The first Chern number that classifies these bundles is proportional to angular momentum. The non-adiabatic principal bundle over the parameter...
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15 صفحه اولIntrinsic geometry of quantum adiabatic evolution and quantum phase transitions
A. T. Rezakhani,1,2 D. F. Abasto,2,3 D. A. Lidar,1,2,3,4 and P. Zanardi2,3 1Department of Chemistry, University of Southern California, Los Angeles, California 90089, USA 2Center for Quantum Information Science and Technology, University of Southern California, Los Angeles, California 90089, USA 3Department of Physics, University of Southern California, Los Angeles, California 90089, USA 4Depar...
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We design an adiabatic quantum algorithm for the counting problem, i.e., approximating the proportion, α, of the marked items in a given database. As the quantum system undergoes a designed cyclic adiabatic evolution, it acquires a Berry phase 2πα. By estimating the Berry phase, we can approximate α, and solve the problem. For an error bound ǫ, the algorithm can solve the problem with cost of o...
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ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1987
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf01238907