6 papers
Correlation and entanglement dynamics of free fermions in disguise
Dávid Szász-Schagrin, Pablo Bayona-Pena, Lorenzo Piroli +1
We study the nonequilibrium dynamics following a quantum quench in spin chains that can be solved via a mapping to free fermions in disguise. These models feature an exponential de…
Lattice non-invertible symmetry from non-commuting transfer matrices
Eric Vernier, Yuan Miao, Masahito Yamazaki
Conventional quantum integrability is encoded in a commuting algebra of transfer matrices. By contrast, several models possess additional non-commuting conserved charges with impor…
Integrability of Goldilocks quantum cellular automata
Logan E. Hillberry, Lorenzo Piroli, Eric Vernier +3
Goldilocks quantum cellular automata (QCA) have been simulated on quantum hardware and produce emergent small-world correlation networks. In Goldilocks QCA, a single-qubit unitary…
The Hilbert-space structure of free fermions in disguise
Eric Vernier, Lorenzo Piroli
Free fermions in disguise (FFD) Hamiltonians describe spin chains which can be mapped to free fermions, but not via a Jordan-Wigner transformation. Although the mapping gives acces…
Construction and simulability of quantum circuits with free fermions in disguise
Dávid Szász-Schagrin, Daniele Cristani, Lorenzo Piroli +1
We provide a systematic construction for local quantum circuits hosting free fermions in disguise, both with staircase and brickwork architectures. Similar to the original Hamilton…
Generalized hydrodynamics of integrable quantum circuits
Friedrich Hübner, Eric Vernier, Lorenzo Piroli
Quantum circuits make it possible to simulate the continuous-time dynamics of a many-body Hamiltonian by implementing discrete Trotter steps of duration . However, when is…