5 papers
Irreducible Geometry of Higher-Order Correlator Families
Kaito Kobayashi
Programmable quantum simulators are beginning to access correlators of increasing complexity, ranging from four-point out-of-time-ordered correlators to even higher-order many-body…
Holographic Representation of One-Dimensional Many-Body Quantum States via Isometric Tensor Networks
Kaito Kobayashi, Benjamin Sappler, Frank Pollmann
Tensor network methods, most prominently matrix product states (MPS), have become fundamental tools in modern quantum many-body physics. While MPS and extensions like the multiscal…
Maximum Cluster Diameter in Non-Critical Bond Percolation
Kaito Kobayashi
In this paper, we study independent (Bernoulli) bond percolation in dimensions , focusing on the maximum diameter of finite clusters in the non-critical regime ($p\neq p_c…
Edge of Many-Body Quantum Chaos in Quantum Reservoir Computing
Kaito Kobayashi, Yukitoshi Motome
Reservoir computing (RC) is a machine learning paradigm that harnesses dynamical systems as computational resources. In its quantum extension -- quantum reservoir computing (QRC) -…
Quantum reservoir probing of quantum phase transitions
Kaito Kobayashi, Yukitoshi Motome
Quantum phase transitions are highly remarkable phenomena manifesting in quantum many-body systems. However, their precise identifications in equilibrium systems pose significant t…