Why can't all bits of an entanglement be read at once?

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The discussion centers on the nature of entanglement in quantum computing, specifically addressing why all bits of an entangled state cannot be read simultaneously. When measuring an entangled state involving multiple qubits, the act of measurement destroys the entanglement, necessitating the re-establishment of the entangled state for each qubit to access individual information. It is confirmed that the entanglement is only partially destroyed based on the information read, allowing for potential continued entanglement among unmeasured qubits.

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Kenneth Adam Miller
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Suppose we have an entanglement state between many qubits. When we measure this state anywhere, the entanglement is destroyed. In quantum computing, we have two bits of parity for each qubit, and we have to re-setup the entanglement state for each qubit to read each piece of information individually.

Why? And what state are the other bits in upon the entanglement state being destroyed/measured?
 
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Kenneth Adam Miller said:
Suppose we have an entanglement state between many qubits. When we measure this state anywhere, the entanglement is destroyed. In quantum computing, we have two bits of parity for each qubit, and we have to re-setup the entanglement state for each qubit to read each piece of information individually.

Why? And what state are the other bits in upon the entanglement state being destroyed/measured?

The entanglement will only be destroyed to the extent that it needs to be given the information that was read.

So if A, B, and C are mutually entangled qubits, reading C may could still leave A and B entangled.

Others can check me on this, but once you have applied all the operators to your qubits, I don't believe it matters what order you read them out.
 

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