We analyze lattice Hamiltonian systems whose global symmetries have't Hooft anomalies.
As is common in the study of anomalies, they are probed by coupling the system to classical …

We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

The Lieb-Schultz-Mattis (LSM) theorem provides a general constraint on quantum many-
body systems and plays a significant role in the Haldane gap phenomena and topological …

In closed systems, the celebrated Lieb–Schultz–Mattis (LSM) theorem states that a one-
dimensional locally interacting half-integer spin chain with translation and spin rotation …

Ground state preparation is classically intractable for general Hamiltonians. On quantum
devices, shallow parametrized circuits can be effectively trained to obtain short-range …

Some form of quantum error correction is necessary to produce large-scale fault-tolerant
quantum computers and finds broad relevance in physics. Most studies customarily assume …

Abstract Lieb-Schultz-Mattis (LSM) theorems impose non-perturbative constraints on the
zero-temperature phase diagrams of quantum lattice Hamiltonians (always assumed to be …

We study the symmetries of closed Majorana chains in 1+ 1d, including the translation,
fermion parity, spatial parity, and time-reversal symmetries. The algebra of the symmetry …

Symmetries and their anomalies are powerful tools for understanding quantum systems.
However, realistic systems are often subject to disorders, dissipation and decoherence. In …

Entanglement constitutes one of the key concepts in quantum mechanics and serves as an
indispensable tool in the understanding of quantum many-body systems. In this work, we …