Two Implementations of Quantum Operations

2008 ◽  
pp. 307-313
Keyword(s):  
2005 ◽  
Vol 5 (4&5) ◽  
pp. 335-349
Author(s):  
M.I. Dykman ◽  
L.F. Santos ◽  
M. Shapiro ◽  
F. .M. Izrailev

We demonstrate that, in a quantum computer with perpetually coupled qubits, all excitations can be confined to their sites (qubits) even without refocusing. The on-site localization is obtained by constructing a sequence of qubit energies that efficiently suppresses resonant hopping. The time during which a many-excitation state remains strongly localized in an infinite chain can exceed the reciprocal hopping frequency by $\agt 10^5$ already for a moderate bandwidth of qubit energies. The proposed energy sequence is also convenient for performing quantum operations on the qubits.


2007 ◽  
Vol 21 (08n09) ◽  
pp. 1372-1378 ◽  
Author(s):  
N. E. BONESTEEL ◽  
L. HORMOZI ◽  
G. ZIKOS ◽  
S. H. SIMON

In topological quantum computation quantum information is stored in exotic states of matter which are intrinsically protected from decoherence, and quantum operations are carried out by dragging particle-like excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world-lines in three dimensional space-time, and the corresponding quantum operations depend only on the topology of the braids formed by these world-lines. We describe recent work showing how to find braids which can be used to perform arbitrary quantum computations using a specific kind of quasiparticle (those described by the so-called Fibonacci anyon model) which are thought to exist in the experimentally observed ν = 12/5 fractional quantum Hall state.


2016 ◽  
Vol 18 (11) ◽  
pp. 113050 ◽  
Author(s):  
D J Bedingham ◽  
O J E Maroney
Keyword(s):  

2007 ◽  
Vol 176 (9-10) ◽  
pp. 617-633 ◽  
Author(s):  
T. Radtke ◽  
S. Fritzsche

2000 ◽  
Vol 273 (1-2) ◽  
pp. 10-14 ◽  
Author(s):  
Anthony Chefles ◽  
Claire R Gilson ◽  
Stephen M Barnett
Keyword(s):  

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