3 papers
quant-ph2026
Quantum mechanics over real numbers fully reproduces standard quantum theory
Alan C. Maioli, Evaldo M. F. Curado, Jean-Pierre Gazeau
Standard quantum mechanics employs complex Hilbert spaces, but whether complex numbers are fundamental or merely convenient has long been debated. For decades, real-valued equivale…
quant-ph2025
The Geometry of Qubit Decoherence: Linear vs. Nonlinear Dynamics in the Bloch Ball
Alan C. Maioli, Evaldo M. F. Curado, Jean-Pierre Gazeau +1
We present two complementary approaches to the GKSL equation for an open qubit. The first, based on linearity, yields solutions illustrated by mixed states trajectories in the Bloc…
quant-ph2024
Quantum circuit complexity for linearly polarised light
E. M. F. Curado, S. Faci, J. P. Gazeau +3
In this study, we explore a form of quantum circuit complexity that extends to open systems. To illustrate our methodology, we focus on a basic model where the projective Hilbert s…