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Measurement uncertainty relations are lower bounds on the errors of any approximate joint measurement of two or more quantum observables.
Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
W. Heisenberg · 1927
Earlier work this paper cites.
Zur Quantenmechanik einfacher Bewegungstypen
E. Kennard · 1927
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On von Neumann’s minimax theorem
H. Nikaidô · 1954
Earlier work this paper cites.
Convex Analysis
R. T. Rockafellar · 1970
Earlier work this paper cites.
Statistical decision theory for quantum systems
A. S. Holevo · 1973
Earlier work this paper cites.
Quantum harmonic analysis on phase space
R. F. Werner · 1984
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Semidefinite programming
L. Vandenberghe and S. Boyd · 1996
Earlier work this paper cites.
Concept of experimental accuracy and simultaneous measurements of position and momentum
D. M. Appleby · 1998
Earlier work this paper cites.
Uncertainty relations for joint measurements of noncommuting observables
M. Ozawa · 2004
Cited alongside, same era.
Convex Optimization
L. Vandenberghe and S. Boyd · 2004
Cited alongside, same era.
The uncertainty relation for joint measurement of position and momentum
R. F. Werner · 2004
Cited alongside, same era.
Graph implementations for nonsmooth convex programs
M. Grant and S. Boyd · 2008
Cited alongside, same era.
Optimal Transport: Old and New
C. Villani · 2009
Cited alongside, same era.
Proof of Heisenberg’s Error-Disturbance Relation
P. Busch, P. Lahti, and R. F. Werner · 2013
Cited alongside, same era.
Measurement uncertainty relations
P. Busch, P. Lahti, and R. F. Werner · 2014
Later among the works it cites.
Quantum root-mean-square error and measurement uncertainty relations
P. Busch, P. Lahti, and R. F. Werner · 2014
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CVX: Matlab software for disciplined convex programming, version 2.1
M. Grant and S. Boyd · 2014
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Uncertainty relations for general phase spaces
R. F. Werner · 2014
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Uncertainty relations for angular momentum
L. Dammeier, R. Schwonnek, and R. F. Werner · 2015
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M. Ozawa · 2013
Cited alongside, same era.
Heisenberg uncertainty for qubit measurements
P. Busch, P. Lahti, and R. F. Werner · 2014
Cited alongside, same era.
On general minimax theorems
M. Sion
Cited in the paper.
Optimum testing of multiple hypotheses in quantum detection theory
H. P. Yuen, R. S. Kennedy, and M. Lax
Cited in the paper.
D. M. Appleby · 2016
Closest in time.
Sharp uncertainty relations for number and angle, 2016
P. Busch, J. Kiukas, and R. F. Werner · 2016
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