We present a framework for investigating wave function spreading in PT-symmetric quantum
systems using spread complexity and spread entropy. We consider a tight-binding chain …

A bstract Krylov complexity characterizes the operator growth in the quantum many-body
systems or quantum field theories. The existing literatures have studied the Krylov …

The complexity of quantum states under dynamical evolution can be investigated by
studying the spread with time of the state over a predefined basis. It is known that this …

A bstract By analyzing the global density of states (DOS) in the Double-Scaled Sachdev-Ye-
Kitaev (DSSYK) model, we construct a finite-dimensional Hamiltonian that replicates this …

A bstract We investigate Krylov complexity of the fermion chain operator which consists of
multiple Majorana fermions in the double-scaled SYK (DSSYK) model with finite …

A bstract Recently, a superdiffusion exhibiting the Kardar-Parisi-Zhang (KPZ) scaling in late-
time correlators and autocorrelators of certain interacting many-body systems, such as …

Utilizing singular value decomposition, our investigation focuses on the spectrum of the
singular values within a sparse non-Hermitian Sachdev-Ye-Kitaev (SYK) model. Unlike the …

We propose a general, fully gate-based quantum algorithm for counterdiabatic driving. The
algorithm does not depend on heuristics as in previous variational methods and exploits …

We present an expansion of a many-body correlation function in a sum of pseudomodes-
exponents with complex frequencies that encompass both decay and oscillations. We …

Recent proposals equate the size of Einstein-Rosen bridges in JT gravity to spread
complexity of a dual, double-scaled SYK theory (DSSYK). We show that the auxiliary``chord …