Unifying decoherence and the Heisenberg Principle

Research output: Contribution to journalArticleScientificpeer-review


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
Issue number8
Publication statusPublished - 1 Mar 2017
Externally publishedYes


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

Fingerprint Dive into the research topics of 'Unifying decoherence and the Heisenberg Principle'. Together they form a unique fingerprint.

  • Cite this