2 papers
quant-ph2025
Anticoncentration and State Design of Doped Real Clifford Circuits and Tensor Networks
Beatrice Magni, Markus Heinrich, Lorenzo Leone +1
We investigate the statistical properties of orthogonal, or real, Clifford circuits doped with magic and imaginary resources. By developing the Weingarten calculus for the real Cli…
quant-ph2025
Free Independence and Unitary Design from Random Matrix Product Unitaries
Neil Dowling, Jacopo De Nardis, Markus Heinrich +2
Unitary randomness underpins both fundamental tasks in quantum information and the modern theory of quantum chaos. On one side, a central concept is that of approximate unitary des…