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I'm looking at papers like Demonstration of teleportation-based error correction in the IBM quantum computer (page) 10 and Role of syndrome information on a one-way quantum repeater using teleportation-based error correction (pages 3 and 4 and figure 2).

In all these, they mention that a QND measurement enables the detection of error due to loss but I didn't quite understand how it is detected and how it is corrected.

I saw several other papers, that simply say that errors due to loss can be detected using TEC but I don't understand its working.

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