210 citations · 2.1k across the 53 of their papers we have counts for
54 papers
Measurement-induced phase transitions in quantum inference problems and quantum hidden Markov models
Sun Woo P. Kim, Curt von Keyserlingk, Austen Lamacraft
Recently, there is interest in coincident 'sharpening' and 'learnability' transitions in monitored quantum systems. In the latter, an outside observer's ability to infer properties…
Operator dynamics and entanglement in space-time dual Hadamard lattices
Pieter W. Claeys, Austen Lamacraft
Many-body quantum dynamics defined on a spatial lattice and in discrete time -- either as stroboscopic Floquet systems or quantum circuits -- has been an active area of research fo…
The planted directed polymer: inferring a random walk from noisy images
Sun Woo P. Kim, Austen Lamacraft
We introduce and study the planted directed polymer, in which the path of a random walker is inferred from noisy 'images' accumulated at each timestep. Formulated as a nonlinear pr…
From dual-unitary to biunitary: a 2-categorical model for exactly-solvable many-body quantum dynamics
Pieter W. Claeys, Austen Lamacraft, Jamie Vicary
Dual-unitary brickwork circuits are an exactly-solvable model for many-body chaotic quantum systems, based on 2-site gates which are unitary in both the time and space directions.…
Exact dynamics in dual-unitary quantum circuits with projective measurements
Pieter W. Claeys, Marius Henry, Jamie Vicary +1
Dual-unitary circuits have emerged as a minimal model for chaotic quantum many-body dynamics in which the dynamics of correlations and entanglement remains tractable. Simultaneousl…
Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics
Pieter W. Claeys, Austen Lamacraft
Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensembl…