Position and momentum can be jointly localized with probability ≥50% using new confidence-uncertainty measures; for θ_x + θ_p >1 the product is bounded below by an expression involving prolate-spheroidal eigenvalues.
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Uncertainty-disturbance relations are derived showing uncertainty prerequisites and upper-bounds disturbance, with applications to estimating quantum resources for rank-one projective measurements.
A generalized Heisenberg-Robertson uncertainty inequality holds across unbroken, broken, and exceptional-point regimes in non-Hermitian dynamics when consistent metrics are used to define expectation values and variances.
Derives relativistic corrections to the Heisenberg algebra using κ-Kaniadakis entropy and constrains the deformation parameter via fine-structure constant measurements.
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Confidence uncertainty: position and momentum can be jointly determined with a guaranteed probability
Position and momentum can be jointly localized with probability ≥50% using new confidence-uncertainty measures; for θ_x + θ_p >1 the product is bounded below by an expression involving prolate-spheroidal eigenvalues.
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Uncertainty-disturbance relations and applications
Uncertainty-disturbance relations are derived showing uncertainty prerequisites and upper-bounds disturbance, with applications to estimating quantum resources for rank-one projective measurements.
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Uncertainty inequalities in a non-Hermitian scenario
A generalized Heisenberg-Robertson uncertainty inequality holds across unbroken, broken, and exceptional-point regimes in non-Hermitian dynamics when consistent metrics are used to define expectation values and variances.
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$\kappa$-entropic statistical paradigm for relativistic corrections to the Heisenberg principle
Derives relativistic corrections to the Heisenberg algebra using κ-Kaniadakis entropy and constrains the deformation parameter via fine-structure constant measurements.