Temporal entropy and the complexity of computing the expectation value of local operators after a quench
We study the computational complexity of simulating the time-dependent expectation value
of a local operator in a one-dimensional quantum system by using temporal matrix product …
of a local operator in a one-dimensional quantum system by using temporal matrix product …
Extracting the speed of light from matrix product states
We provide evidence that the spectrum of the local effective Hamiltonian and the transfer
operator in infinite-system matrix product state simulations are identical up to a global …
operator in infinite-system matrix product state simulations are identical up to a global …
Emergent conformal boundaries from finite-entanglement scaling in matrix product states
The use of finite entanglement scaling with matrix product states (MPS) has become a
crucial tool for studying one-dimensional critical lattice theories, especially those with …
crucial tool for studying one-dimensional critical lattice theories, especially those with …
Temporal entanglement barriers in dual-unitary Clifford circuits with measurements
J Yao, PW Claeys - Physical Review Research, 2024 - APS
We study temporal entanglement in dual-unitary Clifford circuits with probabilistic
measurements preserving spatial unitarity. We exactly characterize the temporal …
measurements preserving spatial unitarity. We exactly characterize the temporal …
Lecture notes of tensor network contractions
Tensor network (TN), a young mathematical tool of high vitality and great potential, has been
undergoing extremely rapid developments in the last two decades, gaining tremendous …
undergoing extremely rapid developments in the last two decades, gaining tremendous …
Temporal Entanglement Profiles in Dual-Unitary Clifford Circuits with Measurements
J Yao, PW Claeys - arxiv preprint arxiv:2404.14374, 2024 - arxiv.org
We study temporal entanglement in dual-unitary Clifford circuits with probabilistic
measurements preserving spatial unitarity. We exactly characterize the temporal …
measurements preserving spatial unitarity. We exactly characterize the temporal …
Two-dimensional tensor networks and contraction algorithms
In this section, we will first demonstrate in Sect. 3.1 that many important physical problems
can be transformed to 2D TNs, and the central tasks become to compute the corresponding …
can be transformed to 2D TNs, and the central tasks become to compute the corresponding …
[PDF][PDF] Quantum simulation for thermodynamics of infinite-size many-body systems by O (10) sites
In this work, we propose to simulate many-body thermodynamics of infinite-size quantum
lattice models by few-body models of only O (10) sites, which we coin as quantum …
lattice models by few-body models of only O (10) sites, which we coin as quantum …
Investigations of topological phases for quasi-1D systems
E Tirrito - 2020 - upcommons.upc.edu
For a long time, quantum states of matter have been successfully characterized by the
Ginzburg-Landau formalism that was able to classify all different types of phase transitions …
Ginzburg-Landau formalism that was able to classify all different types of phase transitions …
Entanglement and Bell correlations in strongly correlated many-body quantum systems
A Piga - 2020 - upcommons.upc.edu
During the past two decades, thanks to the mutual fertilization of the research in quantum
information and condensed matter, new approaches based on purely quantum features …
information and condensed matter, new approaches based on purely quantum features …