25 citations · 40 across the 4 of their papers we have counts for
6 papers
Markov-Shielded Typicality for Thermal Quantum States
Atsushi Iwaki, Chisa Hotta
Pure states of quantum many-body systems at thermal equilibrium are known to be typical, in a sense that a randomly chosen pure state from an appropriate energy shell reproduces th…
Polylog-depth Quantum Thermal Simulation via Local Recovery Channels
Hideaki Hakoshima, Atsushi Iwaki, Nobuyuki Yoshioka
We establish sufficient conditions for preparing quantum thermal states of noncommuting local Hamiltonians with polylogarithmic circuit depth in arbitrary fixed spatial dimension.…
Sample complexity of matrix product states at finite temperature
Atsushi Iwaki, Chisa Hotta
For quantum many-body systems in one dimension, computational complexity theory reveals that the evaluation of ground-state energy remains elusive on quantum computers, contrasting…
Thermal pure matrix product state in two dimensions: tracking thermal equilibrium from paramagnet down to the Kitaev honeycomb spin liquid state
Matthias Gohlke, Atsushi Iwaki, Chisa Hotta
We present the first successful application of the matrix product state (MPS) representing a thermal quantum pure state (TPQ) in equilibrium in two spatial dimensions over almost t…
Purity of thermal mixed quantum states
Atsushi Iwaki, Chisa Hotta
We develop a formula to evaluate the purity of a series of thermal equilibrium states that can be calculated in numerical experiments without knowing the exact form of the quantum…
Thermal Pure Quantum Matrix Product States Recovering a Volume Law Entanglement
Atsushi Iwaki, Akira Shimizu, Chisa Hotta
We propose a way to construct a thermal pure quantum matrix product state (TPQ-MPS) that can simulate finite temperature quantum many-body systems with a minimal numerical cost com…