Non-Abelian Berry connections for quantum computation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 61, Issue 1, 2000, Pages 4-

  Pachos, Jiannis ^a   Zanardi, Paolo ^a,b   Rasetti, Mario ^a,b  

^a ISI FOUNDATION   (Italy)

^b POLITECNICO DI TORINO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84878236541     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.61.010305     Document Type: Article

References (18)

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11. We thank H. Barnum for pointing out this possibility.
12. The notation (Formula presented) means that X has nontrivial action only on the (Formula presented)th factor of (Formula presented).
13. When the system geometry is given, one can restrict to “local” gates without loss of efficiency.
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16. For example, one could consider N qu-trits, i.e., (Formula presented) such that (Formula presented) admits a four-dimensional degenerate eigenspace (Formula presented). Assuming for the (Formula presented)’s the conditions stated in the text, HQC can be efficiently implemented over (Formula presented). Notice that in this case the dimension of the physical state space is increased (Formula presented) instead of (Formula presented).
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