119 citations · 1.1k across the 47 of their papers we have counts for
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The Gram Matrix of a PT-symmetric Quantum System
Stefan Weigert
The eigenstates of a diagonalizable PT-symmetric Hamiltonian satisfy unconventional completeness and orthonormality relations. These relations reflect the properties of a pair of b…
Lueders Theorem for Coherent-State POVMs
Stefan Weigert, Paul Busch
Lueders theorem states that two observables commute if measuring one of them does not disturb the measurement outcomes of the other. We study measurements which are described by co…
Completeness and Orthonormality in PT-symmetric Quantum Systems
Stefan Weigert
Some PT-symmetric non-hermitean Hamiltonians have only real eigenvalues. There is numerical evidence that the associated PT-invariant energy eigenstates satisfy an unconventional c…
Quantum Correlation Games
Azhar Iqbal, Stefan Weigert
A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as function…
Quantum Search for Zeros of Polynomials
Stefan Weigert
A quantum mechanical search procedure to determine the real zeros of a polynomial is introduced. It is based on the construction of a spin observable whose eigenvalues coincide wit…
The quantum way to diagonalize hermitean matrices
Stefan Weigert
An entirely quantum mechanical approach to diagonalize hermitean matrices has been presented recently. Here, the genuinely quantum mechanical approach is considered in detail for (…