Operational Concealment of Measurement Incompatibility by Quantum Channels

Published
Source
arXiv
Paper number
617
Field
Research
arXiv ID
2607.11762

Key points

  • It defined operational concealment as the phenomenon in which measurement incompatibility can no longer be certified when all input states pass through a quantum channel.
  • In finite dimensions, it proved that some binary POVM pair is exactly concealed only if the channel's Heisenberg adjoint has a nontrivial kernel.
  • It distinguished injective dynamics that only contract from cases where information rank decreases, and derived an exact expression for concealment robustness in qubit channels.
  • Using quotient-space duality, it interpreted this robustness as an experimentally accessible reward advantage in channel-output games.
  • The analysis is limited to finite-dimensional, finite-outcome measurements, exact knowledge of the channel, complete input tomography, and single use; it does not cover adaptive multiple uses.

Paper links

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