Phys. Rev. A 60, 1874–1882 (1999)

Complementarity and the uncertainty relations

Abstract

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Gunnar Björk^*, Jonas Söderholm, Alexei Trifonov^†, Tedros Tsegaye, and Anders Karlsson
Department of Electronics, Royal Institute of Technology (KTH) Electrum 229, SE-164 40 Kista, Sweden

Received 16 April 1999; published in the issue dated September 1999

We formulate a general complementarity relation starting from any Hermitian operator with discrete nondegenerate eigenvalues. We then elucidate the relationship between quantum complementarity and the Heisenberg-Robertson uncertainty relation. We show that they are intimately connected. Finally we exemplify the general theory with some specific suggested experiments.

URL:

http://link.aps.org/doi/10.1103/PhysRevA.60.1874

DOI:

10.1103/PhysRevA.60.1874

PACS:

03.65.Bz

^*Electronic address: gunnarb@ele.kth.se

^†Permanent address: Ioffe Physical Technical Institute, 26 Polytekhnicheskaya, 194021 St. Petersburg, Russia.

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Phys. Rev. A 60, 1874–1882 (1999)

Complementarity and the uncertainty relations