I What is the physical meaning of concurence (quantum information)?

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Concurrence is a key measure of entanglement between two qubits or spin-1/2 particles, reflecting the degree of correlation in their states. It is mathematically defined using the density matrix of the two-qubit system. A concurrence value of 1 indicates maximal entanglement, while a value of 0 signifies no entanglement. High concurrence suggests a greater likelihood of the qubits being in the same quantum state, whereas low concurrence indicates they are more likely to be in different states. Understanding concurrence is essential for studying quantum information and entanglement in quantum systems.
Arquimedes
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Hello, I am currently studying about entanglement on spin-1/2 chains and I was able to find some information about the mathematical point of view of concurrence but I can't understand the physical meaning of it . Can somebody help me, please?
 
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Concurrence is a measure of entanglement between two qubits, or two spin-1/2 particles. It measures the degree of correlation between the two particles and is defined using the density matrix of the two-qubit system. When two qubits are in a maximally entangled state, the concurrence is 1, and when there is no entanglement between them, the concurrence is 0. Physically, this means that when the concurrence is high, the two qubits are more likely to be found in the same quantum state, while when it is low, they are more likely to be found in different states.
 
For the quantum state ##|l,m\rangle= |2,0\rangle## the z-component of angular momentum is zero and ##|L^2|=6 \hbar^2##. According to uncertainty it is impossible to determine the values of ##L_x, L_y, L_z## simultaneously. However, we know that ##L_x## and ## L_y##, like ##L_z##, get the values ##(-2,-1,0,1,2) \hbar##. In other words, for the state ##|2,0\rangle## we have ##\vec{L}=(L_x, L_y,0)## with ##L_x## and ## L_y## one of the values ##(-2,-1,0,1,2) \hbar##. But none of these...

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