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19972023
most citedConstructing Mutually Unbiased Bases in Dimension Six

119 citations · 1.1k across the 47 of their papers we have counts for

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43 papers · 1 filter

quant-ph2023★ 3 cited

A Quantum Theory with Non-Collapsing Measurements

Vincenzo Fiorentino, Stefan Weigert

A collapse-free version of quantum theory is examined to systematically study the role of the projection postulate. This foil theory assumes "passive" measurements that do not upda…

quant-ph2022★ 4 cited

Uncertainty relations for the support of quantum states

Vincenzo Fiorentino, Stefan Weigert

Given a narrow signal over the real line, there is a limit to the localisation of its Fourier transform. In spaces of prime dimensions, Tao derived a sharp state-independent uncert…

quant-ph2020★ 12 cited

General Probabilistic Theories with a Gleason-type Theorem

Victoria J Wright, Stefan Weigert

Gleason-type theorems for quantum theory allow one to recover the quantum state space by assuming that (i) states consistently assign probabilities to measurement outcomes and that…

quant-ph2019★ 34 cited

Optimal Detection of Rotations about Unknown Axes by Coherent and Anticoherent States

John Martin, Stefan Weigert, Olivier Giraud

Coherent and anticoherent states of spin systems up to spin j=2 are known to be optimal in order to detect rotations by a known angle but unknown rotation axis. These optimal quant…

quant-ph2019★ 8 cited

Gleason-type Theorems from Cauchy's Functional Equation

Victoria J Wright, Stefan Weigert

Gleason-type theorems derive the density operator and the Born rule formalism of quantum theory from the measurement postulate, by considering additive functions which assign proba…

quant-ph2018★ 18 cited

A Gleason-type theorem for qubits based on mixtures of projective measurements

Victoria J Wright, Stefan Weigert

We derive Born's rule and the density-operator formalism for quantum systems with Hilbert spaces of dimension two or larger. Our extension of Gleason's theorem only relies upon the…