PIRSA:10090102 Scientific Series Quantum Foundations

DOI10.48660/10090102

Series: Quantum Foundations

Colbeck, R. (2010). The uncertainty principle in the presence of quantum memory. Perimeter Institute. https://pirsa.org/10090102

Colbeck, Roger. The uncertainty principle in the presence of quantum memory. Perimeter Institute, Sep. 28, 2010, https://pirsa.org/10090102 

@misc{ pirsa_PIRSA:10090102,
  doi = {10.48660/10090102},
  url = {https://pirsa.org/10090102},
  author = {Colbeck, Roger},
  keywords = {Quantum Foundations},
  language = {en},
  title = {The uncertainty principle in the presence of quantum memory},
  publisher = {Perimeter Institute},
  year = {2010},
  month = {sep},
  note = {PIRSA:10090102 see, \url{https://pirsa.org}}
}

Abstract

The uncertainty principle bounds the uncertainties about the outcomes of two incompatible measurements, such as position and momentum, on a particle. It implies that one cannot predict the outcomes for both possible choices of measurement to arbitrary precision, even if information about the preparation of the particle is available in a classical memory. However, if the particle is prepared entangled with a quantum memory, it is possible to predict the outcomes for both measurement choices precisely. I will explain a recent extension of the uncertainty principle to incorporate this case. The new relation gives a lower bound on the uncertainties, which depends on the amount of entanglement between the particle and the quantum memory. If time permits, I will also outline a couple of applications.

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