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quant-ph2026
Sparse-QITE: Discovering Compact Generators for Quantum Imaginary-Time Evolution via Regularization Methods
Rafael Gómez-Lurbe, Luca Ion, Alberto Acevedo +1
Quantum imaginary-time evolution (QITE) provides a systematic route to ground-state preparation, but its cost grows rapidly with the locality of the unitary approximation, for…
quant-ph2026
Arnold--Nielsen Geometry for Complexity-Deformed Noncommutative Transport
Alberto Acevedo, Antonio Falcó
We deform the Carlen--Maas--Wirth framework for noncommutative dynamical optimal transport by an Arnold--Nielsen type complexity operator. A positive state-independent operator …
quant-ph2026
Geometric Complexity of Quantum Channels via Unitary Dilations
Alberto Acevedo, Antonio Falcó
Nielsen's geometric approach to quantum circuit complexity provides a Riemannian framework for quantifying the cost of implementing unitary closed-system dynamics. For open evoluti…