219 citations · 560 across the 9 of their papers we have counts for
9 papers
Experimental verification of the area law of mutual information in a quantum field simulator
Mohammadamin Tajik, Ivan Kukuljan, Spyros Sotiriadis +10
Theoretical understanding of the scaling of entropies and the mutual information has led to significant advances in the research of correlated states of matter, quantum field theor…
Reduced density matrix and entanglement in interacting quantum field theory with Hamiltonian truncation
Patrick Emonts, Ivan Kukuljan
Entanglement is the fundamental difference between classical and quantum systems and has become one of the guiding principles in the exploration of high- and low-energy physics. Th…
Tensor networks and efficient descriptions of classical data
Sirui Lu, Márton Kanász-Nagy, Ivan Kukuljan +1
We investigate the potential of tensor network based machine learning methods to scale to large image and text data sets. For that, we study how the mutual information between a su…
Continuum approach to real time dynamics of 1+1D gauge field theory: out of horizon correlations of the Schwinger model
Ivan Kukuljan
We develop a truncated Hamiltonian method to study nonequilibrium real time dynamics in the Schwinger model - the quantum electrodynamics in D=1+1. This is a purely continuum metho…
Out-of-horizon correlations following a quench in a relativistic quantum field theory
Ivan Kukuljan, Spyros Sotiriadis, Gabor Takacs
One of the manifestations of relativistic invariance in non-equilibrium quantum field theory is the "horizon effect" a.k.a. light-cone spreading of correlations: starting from an i…
Correlation Functions of the Quantum Sine-Gordon Model in and out of Equilibrium
Ivan Kukuljan, Spyros Sotiriadis, Gabor Takacs
Complete information on the equilibrium behaviour and dynamics of a quantum field theory (QFT) is provided by multipoint correlation functions. However, their theoretical calculati…
Weak Quantum Chaos
Ivan Kukuljan, Sašo Grozdanov, Tomaž Prosen
Out-of-time-ordered correlation functions (OTOC's) are presently being extensively debated as quantifiers of dynamical chaos in interacting quantum many-body systems. We argue that…
Corner transfer matrices for 2D strongly coupled many-body Floquet systems
Ivan Kukuljan, Tomaz Prosen
We develop, based on Baxter's corner transfer matrices, a renormalizable numerically exact method for computation of the level density of the quasi-energy spectra of two-dimensiona…
Quantum Circuits for Isometries
Raban Iten, Roger Colbeck, Ivan Kukuljan +2
We consider the decomposition of arbitrary isometries into a sequence of single-qubit and Controlled-NOT (C-NOT) gates. In many experimental architectures, the C-NOT gate is relati…