Colloquium: Quantum root-mean-square error and measurement uncertainty relations

P Busch, P Lahti, RF Werner - Reviews of Modern Physics, 2014 - APS
Recent years have witnessed a controversy over Heisenberg's famous error-disturbance
relation. Here the conflict is resolved by way of an analysis of the possible …

The uncertainty relations in quantum mechanics

D Sen - Current Science, 2014 - JSTOR
The notion of uncertainty in the description of a physical system has assumed prodigious
importance in the development of quantum theory. Overcoming the early misunderstanding …

Violation of Heisenberg's measurement-disturbance relationship by weak measurements

LA Rozema, A Darabi, DH Mahler, A Hayat… - Physical review …, 2012 - APS
While there is a rigorously proven relationship about uncertainties intrinsic to any quantum
system, often referred to as “Heisenberg's uncertainty principle,” Heisenberg originally …

Experimental demonstration of a universally valid error–disturbance uncertainty relation in spin measurements

J Erhart, S Sponar, G Sulyok, G Badurek, M Ozawa… - Nature Physics, 2012 - nature.com
The uncertainty principle generally prohibits simultaneous measurements of certain pairs of
observables and forms the basis of indeterminacy in quantum mechanics. Heisenberg's …

Error-tradeoff and error-disturbance relations for incompatible quantum measurements

C Branciard - Proceedings of the National Academy of …, 2013 - National Acad Sciences
Heisenberg's uncertainty principle is one of the main tenets of quantum theory.
Nevertheless, and despite its fundamental importance for our understanding of quantum …

A dynamical quantum Cheshire Cat effect and implications for counterfactual communication

Y Aharonov, E Cohen, S Popescu - Nature communications, 2021 - nature.com
Here we report a type of dynamic effect that is at the core of the so called “counterfactual
computation” and especially “counterfactual communication” quantum effects that have …

Experimental test of error-disturbance uncertainty relations by weak measurement

F Kaneda, SY Baek, M Ozawa, K Edamatsu - Physical review letters, 2014 - APS
We experimentally test the error-disturbance uncertainty relation (EDR) in generalized,
strength-variable measurement of a single photon polarization qubit, making use of weak …

Heisenberg uncertainty for qubit measurements

P Busch, P Lahti, RF Werner - Physical Review A, 2014 - APS
Reports on experiments recently performed in Vienna [Erhard, Nature Phys. 8, 185 (2012)
1745-2473 10.1038/nphys2194] and Toronto [Rozema, Phys. Rev. Lett. 109, 100404 (2012) …

Experimental joint quantum measurements with minimum uncertainty

M Ringbauer, DN Biggerstaff, MA Broome, A Fedrizzi… - Physical review …, 2014 - APS
Quantum physics constrains the accuracy of joint measurements of incompatible
observables. Here we test tight measurement-uncertainty relations using single photons. We …

Quantifying the presence of a neutron in the paths of an interferometer

H Lemmel, N Geerits, A Danner, HF Hofmann… - Physical Review …, 2022 - APS
It is commonly assumed that no accurate experimental information can be obtained on the
path taken by a particle when quantum interference between the paths is observed …