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quant-ph2026
On a discrete version of the position-momentum commutation relation
Nicolae Cotfas
The usual position-momentum commutation relation plays a fundamental role in the mathematical description of continuous-variable quantum systems. In the case of a qudit described b…
quant-ph2025
Frame-dependent coherence of a quantum state
Nicolae Cotfas
The tight frames can be regarded as a particular case of POVMs (positive operator-valued measures describing generalized measurements), namely the case when all the operators are r…
quant-ph2024
Frame representations of qudit quantum mechanics
Nicolae Cotfas
There exist many attempts to define a Wigner function for qudits, each of them coming with its advantages and limitations. The existing finite versions have simple definitions, but…