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Bounds on adiabatic path geometry from the width class of the gap profile
Mancheon Han, Sangkook Choi
In an adiabatic evolution, the wave function follows the path of ground states of a Hamiltonian as is tuned from to . The geometry of this adiaba…
Mitigating Trotter Errors via Post-Processed Symmetry Restoration
Sangjin Lee, Sangkook Choi
Quantum simulation is a powerful tool for exploring complex quantum many-body systems such as condensed matter physics and gauge theories. Trotterization, which approximates the id…
qSHIFT: An Adaptive Sampling Protocol for Higher-Order Quantum Simulation
Sangjin Lee, Sangkook Choi
Early fault-tolerant quantum computers are expected to support reliable but depth-limited quantum circuits, while classical computational resources remain available. These conditio…
The Constant Geometric Speed Schedule for Adiabatic State Preparation
Mancheon Han, Hyowon Park, Sangkook Choi
The efficiency of adiabatic quantum evolution is governed by the evolution time , which typically scales as with the minimum energy gap . However, the r…
Fermionic-Adapted Shadow Tomography for dynamical correlation functions
Taehee Ko, Mancheon Han, Hyowon Park +1
Dynamical correlation functions are essential for characterizing the response of the quantum many-body systems to the external perturbation. As their calculation is classically int…
Classical optimization algorithms for diagonalizing quantum Hamiltonians
Taehee Ko, Sangkook Choi, Hyowon Park +1
Diagonalizing a Hamiltonian, which is essential for simulating its long-time dynamics, is a key primitive in quantum computing and has been proven to yield a quantum advantage for…
Quantum random power method for ground state computation
Taehee Ko, Hyowon Park, Sangkook Choi
We present a quantum-classical hybrid random power method that approximates a ground state of a Hamiltonian. The quantum part of our method computes a fixed number of elements of a…
Quantum Zeno Monte Carlo for computing observables
Mancheon Han, Hyowon Park, Sangkook Choi
The recent development of logical quantum processors marks a pivotal transition from the noisy intermediate-scale quantum (NISQ) era to the fault-tolerant quantum computing (FTQC)…