Fetching the paper…
Reading the bibliography…
The well-known Robertson-Schr\"odinger uncertainty relations have state-dependent lower bounds which are trivial for certain states.
Earle H. Kennard, “Zur Quantenmechanik einfacher Bewegungstypen,” Zeitschrift für Physik 43
1927
Earlier work this paper cites.
Werner Heisenberg, “Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik,” Zeitschrift für Physik 43
1927
Earlier work this paper cites.
Howard P. Robertson, “The uncertainty principle,” Physical Review 34
1929
Earlier work this paper cites.
E. Schrödinger, “Zum Heisenbergschen Unschärfeprinzip,” Sitzungsberichte der Preussischen Akademie der Wissenschaften, Physikalisch-mathematische Klasse 14
1930
Earlier work this paper cites.
Jr. I. I. Hirschman, “A note on entropy,” American Journal of Mathematics 79
1957
Earlier work this paper cites.
David Deutsch, “Uncertainty in quantum mechanics,” Physical Review Letters 50
1983
Earlier work this paper cites.
John A. Wheeler and Wojciech H. Zurek, eds., Quantum Theory and Measurement (Princeton University Press, Princeton, NJ, 1983)
1983
Earlier work this paper cites.
R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985)
1985
Earlier work this paper cites.
Hans Maassen and J. B. M. Uffink, “Generalized entropic uncertainty relations,” Physical Review Letters 60
1988
Earlier work this paper cites.
A. J. M. Garrett and S. F. Gull, “Numerical study of the information uncertainty principle,” Physics Letters A 151
1990
Earlier work this paper cites.
Jorge Sánchez-Ruiz, “Optimal entropic uncertainty relation in two-dimensional Hilbert space,” Physics Letters A 244
1998
Earlier work this paper cites.
Masanao Ozawa, “Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement,” Physical Review A 67
2003
Cited alongside, same era.
GianCarlo Ghirardi, Luca Marinatto, and Raffaele Romano, “An optimal entropic uncertainty relation in a two-dimensional Hilbert space,” Physics Letters A 317
2003
Cited alongside, same era.
Holger F. Hofmann and Shigeki Takeuchi, “Violation of local uncertainty relations as a signature of entanglement,” Physical Review A 68
2003
Cited alongside, same era.
Gen Kimura, “The Bloch vector for n n -level systems,” Physics Letters A 314
2003
Cited alongside, same era.
Michael J. W. Hall, “Prior information: How to circumvent the standard joint-measurement uncertainty relation,” Physical Review A 69
2004
Cited alongside, same era.
Masanao Ozawa, “Disproving Heisenberg’s error-disturbance relation,” arXiv:1308.3540 (2013)
2013
Later among the works it cites.
Justin Dressel and Franco Nori, “Certainty in Heisenberg’s uncertainty principle: Revisiting definitions for estimation errors and disturbance,” Physical Review A 89
2014
Later among the works it cites.
Jedrzej Kaniewski, Marco Tomamichel, and Stephanie Wehner, “Entropic uncertainty from effective anticommutators,” Physical Review A 90
2014
Later among the works it cites.
Lorenzo Maccone and Arun K. Pati, “Stronger uncertainty relations for all incompatible observables,” Physical Review Letters 113
2014
Later among the works it cites.
Cyril Branciard, “Deriving tight error-trade-off relations for approximate joint measurements of incompatible quantum observables,” Physical Review A 89
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Juilo I. de Vicente and Jorge Sánchez-Ruiz, “Improved bounds on entropic uncertainty relations,” Physical Review A 77
2008
Cited alongside, same era.
Reinhold A. Bertlmann and Philipp Krammer, “Bloch vector for qudits,” Journal of Physics A: Mathematical and Theoretical 41
2008
Cited alongside, same era.
Yichen Huang, “Variance-based uncertainty relations,” Physical Review A 86
2012
Cited alongside, same era.
Cyril Branciard, “Error-tradeoff and error-disturbance relations for incompatible quantum measurements,” Proceedings of the National Academy of Sciences 110
2013
Cited alongside, same era.
Paul Busch, Pekka Lahti, and Reinhard F. Werner, “Proof of Heisenberg’s error-disturbance relation,” Physical Review Letters 111
2013
Cited alongside, same era.
Paul Busch, Pekka Lahti, and Reinhard F. Werner, “Colloquium: Quantum root-mean-square error and measurement uncertainty relations,” Reviews of Modern Physics 86
Cited in the paper.
Paul Busch, Pekka Lahti, and Reinhard F. Werner, “Heisenberg uncertainty for qubit measurements,” Physical Review A 89
Cited in the paper.
2014
Later among the works it cites.
2015
Closest in time.
2015
Closest in time.
Jun-Li Li and Cong-Feng Qiao, “Reformulating the quantum uncertainty relation,” Scientific Reports 5
2015
Closest in time.
Lars Dammeier, René Schwonnek, and Reinhard F. Werner, “Uncertainty relations for angular momentum,” New Journal of Physics 17
2015
Closest in time.
Paul Busch, “Qubit uncertainty tutorial,” (2015), quantum Physics and Logic – QPL 2015, Oxford
2015
Closest in time.