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Systematic Analysis of Majorization in Quantum Algorithms
Roman Orus, Jose I. Latorre, Miguel A. Martin-Delgado
Motivated by the need to uncover some underlying mathematical structure of optimal quantum computation, we carry out a systematic analysis of a wide variety of quantum algorithms f…
Entanglement and Concurrence in the BCS State
M. A. Martin-Delgado
An extension of the notion of concurrence introduced by Wooters is used to quantify the entanglement of certain multipartite pure states, namely, the BCS state of superconducting c…
Natural majorization of the Quantum Fourier Transformation in phase-estimation algorithms
Roman Orus, Jose I. Latorre, Miguel A. Martin-Delgado
We prove that majorization relations hold step by step in the Quantum Fourier Transformation (QFT) for phase-estimation algorithms considered in the canonical decomposition. Our re…