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Feasibility of encoding Shor's algorithm into the motional states of an ion in the anharmonic trap.
- Source :
-
Journal of Chemical Physics . 8/14/2012, Vol. 137 Issue 6, p064301. 12p. 1 Diagram, 1 Chart, 5 Graphs. - Publication Year :
- 2012
-
Abstract
- We demonstrate theoretically that it may be possible to encode states of a multi-qubit system into the progression of quantized motional/vibrational levels of an ion trapped in a weakly anharmonic potential. Control over such register of quantum information is achieved by applying oscillatory radio-frequency fields shaped optimally for excitation of the desired state-to-state transitions. Anharmonicity of the vibrational spectrum plays a key role in this approach to the control and quantum computation, since it allows resolving different state-to-state transitions and addressing them selectively. Optimal control theory is used to derive pulses for implementing the four-qubit version of Shor's algorithm in a single step. Accuracy of the qubit-state transformations, reached in the numerical simulations, is around 0.999. Very detailed insight is obtained by analysis of the time-evolution of state populations and by spectral analysis of the optimized pulse. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00219606
- Volume :
- 137
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Journal of Chemical Physics
- Publication Type :
- Academic Journal
- Accession number :
- 78720264
- Full Text :
- https://doi.org/10.1063/1.4742309