2014
DOI: 10.1007/s11433-014-5504-3
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Computable upper bounds for the adiabatic approximation errors

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Cited by 9 publications
(2 citation statements)
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“…This transitionless evolution is ensured by the adiabatic theorem, which is one of the oldest and most explored tools in quantum mechanics 1 2 3 . The huge amount of applications of the adiabatic behavior has motivated renewed interest in the adiabatic theorem, which has implied in its rigorous formulation 4 5 6 7 8 9 10 as well as in new bounds for adiabaticity 11 12 13 . In quantum information processing, the adiabatic theorem is the basis for the methodology of adiabatic quantum computation (AQC) 14 , which has been originally proposed as an approach for the solution of hard combinatorial search problems.…”
mentioning
confidence: 99%
“…This transitionless evolution is ensured by the adiabatic theorem, which is one of the oldest and most explored tools in quantum mechanics 1 2 3 . The huge amount of applications of the adiabatic behavior has motivated renewed interest in the adiabatic theorem, which has implied in its rigorous formulation 4 5 6 7 8 9 10 as well as in new bounds for adiabaticity 11 12 13 . In quantum information processing, the adiabatic theorem is the basis for the methodology of adiabatic quantum computation (AQC) 14 , which has been originally proposed as an approach for the solution of hard combinatorial search problems.…”
mentioning
confidence: 99%
“…2(b) as the product Haar twirling procedure: Let |ψ 0 and |Φ 0 the fixed state for the subsystem H A D and H B D , respectively. The two arbitrary states in (19), Ψ and Φ, may be related to the arbitrary unitary operation U and V…”
Section: Estimating the Average Fidelity Of The Bipartite Systemmentioning
confidence: 99%