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No-go result for quantum postselection measurements of rank-m degenerate subspace

Quantum Physics 2023-04-19 v1

Abstract

We present a no-go result for postselection measurements where the conditional expectation value of a joint system-device observable under postselection is nothing else than the conventional expectation value. Such a no-go result relies on the rank-m degenerate of the joint observable, where m is the dimension of the device subspace. Remarkable, we show that the error and disturbance in quantum measurements obey the no-go result, which implies that the error-disturbance uncertainty is unaffected under postselection measurements.

Keywords

Cite

@article{arxiv.2303.17090,
  title  = {No-go result for quantum postselection measurements of rank-m degenerate subspace},
  author = {Le Bin Ho},
  journal= {arXiv preprint arXiv:2303.17090},
  year   = {2023}
}

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