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Volumn 73, Issue 6, 2006, Pages

General error estimate for adiabatic quantum computing

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; COMPUTER SIMULATION; ENERGY GAP; ERROR ANALYSIS; ERROR CORRECTION;

EID: 33744964955     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.062307     Document Type: Article
Times cited : (59)

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    • Since the functions γ1 (s), F01 (s), and ΔE(s) are supposed to be well-behaved near the real s axis, there are no small (or large) numbers in the problem apart from those generated by the minimum of the gap ΔE(s). Thus, the significant changes of the eigenvectors are also localized around this minimum. In the complex plane, this minimum along the real axis becomes a saddle point. For analytic functions, the characteristic length scale of variation must be the same along the real axis and into the complex plane (of order Im (s) 1) and is determined by the lowest nontrivial Taylor coefficient at that point.
    • Since the functions γ1 (s), F01 (s), and ΔE(s) are supposed to be well-behaved near the real s axis, there are no small (or large) numbers in the problem apart from those generated by the minimum of the gap ΔE(s). Thus, the significant changes of the eigenvectors are also localized around this minimum. In the complex plane, this minimum along the real axis becomes a saddle point. For analytic functions, the characteristic length scale of variation must be the same along the real axis and into the complex plane (of order Im (s1) and is determined by the lowest nontrivial Taylor coefficient at that point.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.