11 papers
Conditional dependence and Scrooge ensembles in shallow random quantum circuits
Yinchen Liu, Max McGinley, Thomas Schuster +1
The output state of a 2D geometrically local shallow random quantum circuit does not have long range correlations due to its lightcone structure. But this changes if one measures a…
Solvable Quantum Circuits with non-Markovian Influence Matrices
Samuel H. Pickering, Max McGinley, Bhavik Kumar +1
Influence matrices encode the action exerted on local subsystems by the rest of an extended quantum many-body system during their evolution. Thus, knowledge of the influence matrix…
Mixed-state topological order and error-correction thresholds in non-Abelian codes: rigorous results
Sun Woo P. Kim, Max McGinley
We present a versatile and mathematically rigorous technique for bounding recovery thresholds in topological codes subject to noise. Our method captures the effect of applying an a…
Projected logical ensembles in surface codes via the random-matrix theory of quantum dots
Mircea Bejan, Jan Behrends, Max McGinley +1
Measurements underpin active quantum error correction (QEC) and have been recognized as a source of novel measurement-induced many-body phenomena. Here, we study the statistical pr…
Quantum State Designs via Magic Teleportation
Hugo Lóio, Guglielmo Lami, Lorenzo Leone +3
We investigate how non-stabilizer resources enable the emergence of quantum state designs within the projected ensemble. Starting from initial states with finite magic and applying…
The Scrooge ensemble in many-body quantum systems
Max McGinley, Thomas Schuster
In many physical settings, the statistical properties of quantum states are thought to be described by the Scrooge ensemble, a more structured generalization of the Haar ensemble.…