9 Quantum Operations on Qubitsand Their Characterization

2004 ◽  
pp. 333-371
Author(s):  
Francesco Martini ◽  
Marco Ricci ◽  
Fabio Sciarrino
Keyword(s):  
Quantum Operations

On-site localization of excitations

2005 ◽  
Vol 5 (4&5) ◽  
pp. 335-349
Author(s):  
M.I. Dykman ◽  
L.F. Santos ◽  
M. Shapiro ◽  
F. .M. Izrailev
Keyword(s):  
Quantum Computer ◽  
Infinite Chain ◽  
Quantum Operations ◽  
Site Localization ◽  
Excitation State ◽  
Coupled Qubits

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.

QUANTUM COMPUTING WITH NON-ABELIAN QUASIPARTICLES

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1372-1378 ◽  
Author(s):  
N. E. BONESTEEL ◽  
L. HORMOZI ◽  
G. ZIKOS ◽  
S. H. SIMON
Keyword(s):  
Dimensional Space ◽  
Quantum Hall ◽  
Three Dimensional ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Operations ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
Two Space Dimensions ◽  
Topological Quantum Computation

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.

scholarly journals The thermodynamic cost of quantum operations

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

Simulation of n-qubit quantum systems. III. Quantum operations

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

scholarly journals Entanglement and collective quantum operations

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