The uncertainty relations, pioneered by Werner Heisenberg nearly 90 years ago, set a fundamental limitation on the joint measurability of complementary observables. This limitation has long been a subject of debate, which has been reignited recently due to new proposed forms of measurement uncertainty relations. The present work is associated with a new error trade-off relation for compatible observables approximating two incompatible observables, in keeping with the spirit of Heisenberg's original ideas of 1927. We report the first direct test and confirmation of the tight bounds prescribed by such an error trade-off relation, based on an experimental realisation of optimal joint measurements of complementary observables using a single ult...
The quantification of the "measurement uncertainty"aspect of Heisenberg's uncertainty principle - th...
Joint, or simultaneous, measurements of non-commuting observables are possible within quantum mechan...
The uncertainty relation, which displays an elementary property of quantum theory, was originally de...
The uncertainty relations, pioneered by Werner Heisenberg nearly 90 years ago, set a fundamental lim...
In standard formulations of the uncertainty principle, two fundamental features are typically cast a...
Heisenberg's uncertainty relations have played an essential role in quantum physics since its very b...
Heisenberg's uncertainty relations have played an essential role in quantum physics since its very b...
Heisenberg's uncertainty principle is one of the main tenets of quantum theory. Nevertheless, and de...
Quantum physics constrains the accuracy of joint measurements of incompatible observables. Here we t...
Heisenberg’s uncertainty principle has recently led to general measurement uncertainty relations for...
Measurement uncertainty relations are lower bounds on the errors of any approximate joint measuremen...
Two generalizations of a known approach to the joint measurement of position and momentum to the joi...
The well-known Heisenberg’s uncertainty relation is an inequality between uncertainties of canonical...
We investigate the optimal approximation to triple incompatible quantum measurements within the fram...
Joint, or simultaneous, measurements of noncommuting observables are possible within quantum mechani...
The quantification of the "measurement uncertainty"aspect of Heisenberg's uncertainty principle - th...
Joint, or simultaneous, measurements of non-commuting observables are possible within quantum mechan...
The uncertainty relation, which displays an elementary property of quantum theory, was originally de...
The uncertainty relations, pioneered by Werner Heisenberg nearly 90 years ago, set a fundamental lim...
In standard formulations of the uncertainty principle, two fundamental features are typically cast a...
Heisenberg's uncertainty relations have played an essential role in quantum physics since its very b...
Heisenberg's uncertainty relations have played an essential role in quantum physics since its very b...
Heisenberg's uncertainty principle is one of the main tenets of quantum theory. Nevertheless, and de...
Quantum physics constrains the accuracy of joint measurements of incompatible observables. Here we t...
Heisenberg’s uncertainty principle has recently led to general measurement uncertainty relations for...
Measurement uncertainty relations are lower bounds on the errors of any approximate joint measuremen...
Two generalizations of a known approach to the joint measurement of position and momentum to the joi...
The well-known Heisenberg’s uncertainty relation is an inequality between uncertainties of canonical...
We investigate the optimal approximation to triple incompatible quantum measurements within the fram...
Joint, or simultaneous, measurements of noncommuting observables are possible within quantum mechani...
The quantification of the "measurement uncertainty"aspect of Heisenberg's uncertainty principle - th...
Joint, or simultaneous, measurements of non-commuting observables are possible within quantum mechan...
The uncertainty relation, which displays an elementary property of quantum theory, was originally de...