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It is known that one can do quantum error correction without syndrome measurement, which is often done in operator quantum error correction (OQEC).
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C.-K. Li, M. Nakahara, Y.-T. Poon, N.-S. Sze, and H. Tomita, Phys. Lett. A 375
2011
Closest in time.
C.-K. Li, M. Nakahara, Y.-T. Poon, N.-S. Sze, and H. Tomita, Phys. Rev. A 84
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