Universal quantum gates based on a pair of orthogonal cyclic states: Application to NMR systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 2, 2003, Pages

  Zhu, Shi Liang ^a,b   Wang, Z D ^a,c  

^a UNIVERSITY OF HONG KONG   (Hong Kong)

^b SOUTH CHINA NORMAL UNIVERSITY   (China)

^c UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CONFORMAL MAPPING; EIGENVALUES AND EIGENFUNCTIONS; GRAPH THEORY; HAMILTONIANS; INTEGRAL EQUATIONS; MAGNETIC FIELDS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; NUCLEAR MAGNETIC RESONANCE; PARTIAL DIFFERENTIAL EQUATIONS;

QUANTUM COMPUTATION; QUANTUM GATES; SCHRODINGER EQUATION;

QUANTUM THEORY;

EID: 0037965693     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

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47. ±>. However, it is possible to define a more strictly geometric gate U where the phase accumulated is a pure geometric phase for any input state. The latter gates have not been studied here.
48. (3)(ŷ, α′-α) in Eq. (33) is not necessary in some cases. For example, another constraint α′-α=0 may be simultaneously satisfied by appropriate choosing parameters in the example addressed below.
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