Complementarity and the uncertainty relations

Gunnar Björk; Jonas Söderholm; Alexei Trifonov; Tedros Tsegaye; Anders Karlsson

doi:10.1103/PhysRevA.60.1874

Complementarity and the uncertainty relations

Gunnar Björk
, Jonas Söderholm
, Alexei Trifonov
, Tedros Tsegaye
, Anders Karlsson

Research output: Contribution to journal › Article › peer-review

52 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1874-1882
Number of pages	9
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	60
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.60.1874
State	Published - 1999
Externally published	Yes

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10.1103/PhysRevA.60.1874

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title = "Complementarity and the uncertainty relations",

abstract = "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.",

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AU - Björk, Gunnar

AU - Söderholm, Jonas

AU - Trifonov, Alexei

AU - Tsegaye, Tedros

AU - Karlsson, Anders

PY - 1999

Y1 - 1999

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AB - 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.

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U2 - 10.1103/PhysRevA.60.1874

DO - 10.1103/PhysRevA.60.1874

M3 - Artículo

AN - SCOPUS:0000185093

SN - 1050-2947

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SP - 1874

EP - 1882

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

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Complementarity and the uncertainty relations

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