Long-range entanglement—the backbone of topologically ordered states—cannot be
created in finite time using local unitary circuits, or, equivalently, adiabatic state preparation …

We propose a general framework for studying two-dimensional (2D) topologically ordered
states subject to local correlated errors and show that the resulting mixed state can display …

Despite fundamental interests in learning quantum circuits, the existence of a
computationally efficient algorithm for learning shallow quantum circuits remains an open …

Anomalies of global symmetries are important tools for understanding the dynamics of
quantum systems. We investigate anomalies of non-invertible symmetries in 3+ 1d using 4+ …

Finite-depth quantum circuits preserve the long-range entanglement structure in quantum
states and map between states within a gapped phase. To map between states of different …

We construct Pauli topological subsystem codes characterized by arbitrary two-dimensional
Abelian anyon theories–this includes anyon theories with degenerate braiding relations and …

We construct a Pauli stabilizer model for every two-dimensional Abelian topological order
that admits a gapped boundary. Our primary example is a Pauli stabilizer model on four …

Random quantum circuits continue to inspire a wide range of applications in quantum
information science and many-body quantum physics, while remaining analytically tractable …

We investigate the evolution of quantum information under Pauli measurement circuits. We
focus on the case of one-and two-dimensional systems, which are relevant to the recently …

Quantum calculi and formalisms are useful tools for ensuring security and computational
capabilities in blockchain and cryptography. They aid in designing and analysing new …