302 citations · 2.1k across the 45 of their papers we have counts for
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On Quantum Uncertainty Relations and Uncertainty Regions
Paul Busch, Oliver Reardon-Smith
Given two or more non-commuting observables, it is generally not possible to simultaneously assign precise values to each. This quantum mechanical uncertainty principle is widely u…
Optimal joint measurements of complementary observables by a single trapped ion
T. P. Xiong, L. L. Yan, Z. H. Ma +5
The uncertainty relations, pioneered by Werner Heisenberg nearly 90 years ago, set a fundamental limitation on the joint measurability of complementary observables. This limitation…
Symmetry, Reference Frames, and Relational Quantities in Quantum Mechanics
Leon Loveridge, Takayuki Miyadera, Paul Busch
We propose that observables in quantum theory are properly understood as representatives of symmetry-invariant quantities relating one system to another, the latter to be called a…
Relativity of Quantum States and Observables
Leon Loveridge, Paul Busch, Takayuki Miyadera
Under the principle that quantum mechanical observables are invariant under relevant symmetry transformations, we explore how the usual, non-invariant quantities may capture measur…
Sharp uncertainty relations for number and angle
Paul Busch, Jukka Kiukas, Reinhard F. Werner
We study uncertainty relations for pairs of conjugate variables like number and angle, of which one takes integer values and the other takes values on the unit circle. The translat…
Approximating relational observables by absolute quantities: A quantum accuracy-size trade-off
Takayuki Miyadera, Leon Loveridge, Paul Busch
The notion that any physical quantity is defined and measured relative to a reference frame is traditionally not explicitly reflected in the theoretical description of physical exp…