Generalized quantum partial adiabatic evolution
Due to the intrinsic similarity between partial adiabatic evolution and global adiabatic evolution, we generalize the partial adiabatic evolution proposed recently to its local adiabatic algorithm version. However, unlike that the local adiabatic evolution can speed up the global adiabatic algorithm...
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| Published in | Quantum information processing Vol. 13; no. 4; pp. 909 - 916 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
New York
Springer US
01.04.2014
Springer |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1570-0755 1573-1332 |
| DOI | 10.1007/s11128-013-0700-z |
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| Abstract | Due to the intrinsic similarity between partial adiabatic evolution and global adiabatic evolution, we generalize the partial adiabatic evolution proposed recently to its local adiabatic algorithm version. However, unlike that the local adiabatic evolution can speed up the global adiabatic algorithm quadratically, we prove that this
new
quantum algorithm presented here just has the same time complexity as the original partial adiabatic evolution. This may imply the optimality of the original partial adiabatic evolution or its generalized version. Additionally, a concrete example is given to further support our conclusion. |
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| AbstractList | Due to the intrinsic similarity between partial adiabatic evolution and global adiabatic evolution, we generalize the partial adiabatic evolution proposed recently to its local adiabatic algorithm version. However, unlike that the local adiabatic evolution can speed up the global adiabatic algorithm quadratically, we prove that this
new
quantum algorithm presented here just has the same time complexity as the original partial adiabatic evolution. This may imply the optimality of the original partial adiabatic evolution or its generalized version. Additionally, a concrete example is given to further support our conclusion. |
| Author | Sun, Jie Liu, Fang Lu, Songfeng |
| Author_xml | – sequence: 1 givenname: Jie surname: Sun fullname: Sun, Jie organization: School of Computer Science and Technology, Huazhong University of Science and Technology – sequence: 2 givenname: Songfeng surname: Lu fullname: Lu, Songfeng email: lusongfeng@hotmail.com organization: School of Computer Science and Technology, Huazhong University of Science and Technology – sequence: 3 givenname: Fang surname: Liu fullname: Liu, Fang organization: School of Computer Science and Technology, Huazhong University of Science and Technology |
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| Cites_doi | 10.1103/PhysRevA.77.052331 10.1088/1674-1056/20/4/040309 10.1103/PhysRevA.73.022329 10.1103/PhysRevLett.108.010501 10.1103/PhysRevA.57.2403 10.1088/1674-1056/21/1/010306 10.1126/science.1057726 10.1103/PhysRevLett.99.070502 10.1016/j.physleta.2006.01.098 10.1103/PhysRevLett.79.325 10.1103/PhysRevA.80.052328 10.1103/PhysRevLett.106.050502 10.1103/PhysRevA.65.042308 10.1103/PhysRevA.78.012352 10.1209/0295-5075/99/57004 10.1137/S0097539705447323 10.1103/PhysRevA.82.034304 |
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| Issue | 4 |
| Keywords | Partial adiabatic evolution Local adiabatic evolution Quantum search Adiabatic passage Quantum computation Quantum algorithm Time complexity Search algorithm |
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| Snippet | Due to the intrinsic similarity between partial adiabatic evolution and global adiabatic evolution, we generalize the partial adiabatic evolution proposed... |
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| SubjectTerms | Algorithmics. Computability. Computer arithmetics Applied sciences Classical and quantum physics: mechanics and fields Computer science; control theory; systems Data Structures and Information Theory Exact sciences and technology Mathematical Physics Physics Physics and Astronomy Quantum computation Quantum Computing Quantum information Quantum Information Technology Quantum Physics Spintronics Theoretical computing |
| Title | Generalized quantum partial adiabatic evolution |
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