Unifying decoherence and the Heisenberg Principle

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Abstract

We exhibit three inequalities involving quantum measurement, all of which are sharp and state independent. The first inequality bounds the performance of joint measurement. The second quantifies the trade-off between the measurement quality and the disturbance caused on the measured system. Finally, the third inequality provides a sharp lower bound on the amount of decoherence in terms of the measurement quality. This gives a unified description of both the Heisenberg uncertainty principle and the collapse of the wave function.
Original languageEnglish
Pages (from-to)1557-1579
Number of pages23
JournalLetters in Mathematical Physics
Volume107
Issue number8
DOIs
Publication statusPublished - 1 Mar 2017
Externally publishedYes

Keywords

  • Decoherence
  • CP-maps
  • Uncertainty relations
  • Quantum measurement

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