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20202025
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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…

quant-ph2025

A graph-theoretic approach to chaos and complexity in quantum systems

Maxwell West, Neil Dowling, Angus Southwell +4

There has recently been considerable interest in studying quantum systems via dynamical Lie algebras (DLAs) -- Lie algebras generated by the terms which appear in the Hamiltonian o…

quant-ph2025

Bridging Entanglement and Magic Resources within Operator Space

Neil Dowling, Kavan Modi, Gregory A. L. White

Local-operator entanglement (LOE) dictates the complexity of simulating Heisenberg evolution using tensor network methods, {and bears witness to many-body chaos for local dynamics}…

quant-ph2024

Stabilizer Tensor Networks with Magic State Injection

Azar C. Nakhl, Ben Harper, Maxwell West +4

This work augments the recently introduced Stabilizer Tensor Network (STN) protocol with magic state injection, reporting a new framework with significantly enhanced ability to sim…

quant-ph2020

Second law of thermodynamics for relativistic fluids formulated with relative entropy

Neil Dowling, Stefan Floerchinger, Tobias Haas

The second law of thermodynamics is discussed and reformulated from a quantum information theoretic perspective for open quantum systems using relative entropy. Specifically, the r…