8 papers
Kasner Exponents from the Bouncing Singularity
Hyunwoo Oh
The black hole singularity can be probed by the thermal boundary two-point correlator. When there is a bouncing geodesic, the boundary correlator reveals the singular behavior $G(t…
Signal-to-noise problems in fault-tolerant quantum computation
Hyunwoo Oh
Quantum computation offers a promising alternative to classical Monte Carlo methods by naturally avoiding sign problems through unitary evolution. A common misconception follows fr…
The Hagedorn transition as a Plancherel wall: Tracy-Widom statistics, Polyakov loops and partial deconfinement
Robert de Mello Koch, Minkyoo Kim, Hyunwoo Oh
We study the Hagedorn transition of the single-winding Dutta-Gopakumar unitary matrix model at finite rank . Its Schur expansion is a sum of Plancherel probabilities restricted…
Practical limitations of the switching theorem for adiabatic state preparation
Thomas D. Cohen, Andrew Li, Hyunwoo Oh +1
The viability of adiabatic quantum computation depends on the slow evolution of the Hamiltonian. The adiabatic switching theorem provides an asymptotic series for error estimates i…
Asymptotic errors in adiabatic evolution
Thomas D. Cohen, Hyunwoo Oh
The adiabatic theorem in quantum mechanics implies that if a system is in a discrete eigenstate of a Hamiltonian and the Hamiltonian evolves in time arbitrarily slowly, the system…
Numerical study of computational cost of maintaining adiabaticity for long paths
Thomas D. Cohen, Hyunwoo Oh, Veronica Wang
Recent work argued that the scaling of a dimensionless quantity with path length is a better proxy for quantifying the scaling of the computational cost of maintaining adiaba…
Corrections to adiabatic behavior for long paths
Thomas D. Cohen, Hyunwoo Oh
The cost and the error of the adiabatic theorem for preparing the final eigenstate are discussed in terms of path length. Previous studies in terms of the norm of the Hamiltonian a…
Efficient vacuum state preparation for quantum simulation of strongly interacting local quantum field theories
Thomas D. Cohen, Hyunwoo Oh
We present an efficient approach for preparing ground states in the context of strongly interacting local quantum field theories on quantum computers. The approach produces the vac…