We point out that the main results—the analytic expressions for the Groverian measure of entanglement, in the above mentioned paper are erroneous. The technical mistake of the paper is discussed. It is shown by an explicit example that the formula for calculating the Groverian measure yields G(|ψ� ) = 0f or some entangled states. Keyword Groverian measure of entanglement

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A new quantum information measure for mixed-state entanglement

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Groverian measure of entanglement for mixed states (4 pages)

Daniel Shapira, Yishai Shimoni

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A new quantum information measure for mixed-state entanglement

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日本物理学会講演概要集Jan 1, 20200 citations

n

qubits is obtained by a purification procedure into a pure state of

2n

qubits, followed by an optimization process, before the resulting state is fed into Grover's search algorithm. It is expressed in terms of the maximal success probability of the algorithm and in this sense provides an operational measure of entanglement.