385 citations · 446 across the 14 of their papers we have counts for
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Reply to Andrew Hodges
Tien D. Kieu
We separate the criticisms of Hodges \cite{Hodges2005} and others into those against the algorithm itself and those against its physical implementation. We then point out that {\em…
A mathematical proof for a ground-state identification criterion
Tien D. Kieu
We give a mathematical proof for an identification criterion by a probability measure for the ground state among an infinite number of available states, or a finitely truncated num…
On the identification of the ground state based on occupation probabilities: An investigation of Smith's apparent counterexamples
Tien D. Kieu
We study a set of truncated matrices, given by Smith~\cite{Smith2005}, in connection to an identification criterion for the ground state in our proposed quantum adiabatic algorithm…
Quantum Adiabatic Computation and the Travelling Salesman Problem
Tien D. Kieu
The NP-complete problem of the travelling salesman (TSP) is considered in the framework of quantum adiabatic computation (QAC). We first derive a remarkable lower bound for the com…