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- W4320812505 abstract "In this paper, firstly considering that in separable states, the measurement on one particle has no effect on the measurement of the second particle, we show that Alice and Bob can find directions in which the result of their measurement on the spin of the particle is always maximized. In other word, the state of the particle is a eigenstate for the operator that is applied in that direction, so the sum of the spins of two particles can have a maximum value. We will argue that in entangled states, due to the effect of particle measurement results on each other, Alice and Bob cannot find the desired operators. Therefore, in the measurement, the total spin of the particles will always be less than the mentioned maximum But we ask them to try and measure in directions that will get the most value. Because this value is maximum for separable states and minimum for fully entangled states, and for the rest of the states, it will be proportional to the degree of entanglement between the two maximum and minimum values, we set this parameter as We called it separability index. Then, based on this index, the measure of entanglement was introduced and extended to states with higher dimensions. In the end, examples of qubit states and di-qubit states and di-qubit states were investigated and the efficiency of the measure was confirmed by the results of the examples." @default.
- W4320812505 created "2023-02-15" @default.
- W4320812505 creator A5057350070 @default.
- W4320812505 date "2022-11-14" @default.
- W4320812505 modified "2023-09-27" @default.
- W4320812505 title "Introduction Of Quantum Entanglement Measure Based On The Expectation Values Of Pauli Operators" @default.
- W4320812505 doi "https://doi.org/10.48550/arxiv.2211.08981" @default.
- W4320812505 hasPublicationYear "2022" @default.
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