Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device

Kuji, Hiroki; Shingu, Yuta; Nikuni, Tetsuro; Imoto, Takashi; Sugisaki, Kenji; Matsuzaki, Yuichiro

Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device

Hiroki Kuji
(
- Tokyo U. of Sci. and
- Chuo U., Tokyo
)
,
Yuta Shingu
(
- Tokyo U. of Sci.
)
,
Tetsuro Nikuni
(
- Tokyo U. of Sci.
)
,
Takashi Imoto
(
- AIST, Tsukuba
)
,
Kenji Sugisaki
(
- Keio U. and
- IISER, Kolkata
)

Dec 27, 2024

e-Print:

2412.19590 [quant-ph]

View in:

ADS Abstract Service

pdf

reference search0 citations

Citations per year

0 Citations

Abstract: (arXiv)

Estimating the ground-state energy of Hamiltonians in quantum systems is an important task. In this work, we demonstrate that the ground-state energy can be accurately estimated without controlled time evolution by using adiabatic state preparation (ASP) and Ramsey-type measurement. By considering the symmetry of the Hamiltonian governing the time evolution during ASP, we can prepare a superposition of the ground state and reference state whose eigenvalue is known. This enables the estimation of the ground-state energy via Ramsey-type measurement. Furthermore, our method is robust against non-adiabatic transitions, making it suitable for use with early fault-tolerant quantum computers and quantum annealing.

References(0)

Figures(1)

Loading ...