Even shorter quantum circuit for phase estimation on early fault-tolerant quantum computers with applications to ground-state energy estimation

Z Ding, L Lin - PRX Quantum, 2023 - APS
We develop a phase-estimation method with a distinct feature: its maximal run time (which
determines the circuit depth) is δ/ϵ, where ϵ is the target precision, and the preconstant δ …

Initial state preparation for quantum chemistry on quantum computers

S Fomichev, K Hejazi, MS Zini, M Kiser, J Fraxanet… - PRX Quantum, 2024 - APS
Quantum algorithms for ground-state energy estimation of chemical systems require a high-
quality initial state. However, initial state preparation is commonly either neglected entirely …

[PDF][PDF] Early fault-tolerant quantum computing

A Katabarwa, K Gratsea, A Caesura, PD Johnson - PRX Quantum, 2024 - APS
In recent years, research in quantum computing has largely focused on two approaches:
near-term intermediate-scale quantum (NISQ) computing and future fault-tolerant quantum …

Statistical phase estimation and error mitigation on a superconducting quantum processor

NS Blunt, L Caune, R Izsák, ET Campbell, N Holzmann - PRX Quantum, 2023 - APS
Quantum phase estimation (QPE) is a key quantum algorithm, which has been widely
studied as a method to perform chemistry and solid-state calculations on future fault-tolerant …

Compilation of a simple chemistry application to quantum error correction primitives

NS Blunt, GP Gehér, AE Moylett - Physical Review Research, 2024 - APS
A number of exciting recent results have been seen in the field of quantum error correction.
These include initial demonstrations of error correction on current quantum hardware and …

Simultaneous estimation of multiple eigenvalues with short-depth quantum circuit on early fault-tolerant quantum computers

Z Ding, L Lin - Quantum, 2023 - quantum-journal.org
We introduce a multi-modal, multi-level quantum complex exponential least squares (MM-
QCELS) method to simultaneously estimate multiple eigenvalues of a quantum Hamiltonian …

On low-depth algorithms for quantum phase estimation

H Ni, H Li, L Ying - Quantum, 2023 - quantum-journal.org
Quantum phase estimation is one of the critical building blocks of quantum computing. For
early fault-tolerant quantum devices, it is desirable for a quantum phase estimation algorithm …

Implementing any linear combination of unitaries on intermediate-term quantum computers

S Chakraborty - Quantum, 2024 - quantum-journal.org
We develop three new methods to implement any Linear Combination of Unitaries (LCU), a
powerful quantum algorithmic tool with diverse applications. While the standard LCU …

Counterdiabatic optimized driving in quantum phase sensitive models

FP Barone, O Kiss, M Grossi, S Vallecorsa… - New Journal of …, 2024 - iopscience.iop.org
State preparation plays a pivotal role in numerous quantum algorithms, including quantum
phase estimation. This paper extends and benchmarks counterdiabatic driving protocols …

Quantum simulation of battery materials using ionic pseudopotentials

MS Zini, A Delgado, R dos Reis, PAM Casares… - Quantum, 2023 - quantum-journal.org
Ionic pseudopotentials are widely used in classical simulations of materials to model the
effective potential due to the nucleus and the core electrons. Modeling fewer electrons …