Quantum Error-Corrected Computation of Molecular Energies

arXiv:2505.09133 · quant-ph · Submitted 2025-05-14 · Read on arXiv

quant-ph

Submitted: 2025-05-14

Updated: 2026-09-16

Comments: 22 pages, 7 figures

DOI: 10.1103/m7j3-5sk6

Code: https://github.com/CQCL/qec

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Calibration — 8× in this paper · explained in 7 episodes
• Fidelity — 5× in this paper · explained in 2 episodes
• Quantum Circuits — 4× in this paper · explained in 2 episodes
• Accuracy — 3× in this paper · explained in 1 episode
• Distillation — 3× in this paper · explained in 2 episodes
• Quantum Phase Estimation (QPE) — 3× in this paper · explained in 3 episodes
• Ancilla Qubits — 2× in this paper · explained in 1 episode
• Benchmarking — 2× in this paper · explained in 3 episodes
• Decoupling — 2× in this paper · explained in 2 episodes
• Active Volume — 1× in this paper · explained in 1 episode
• Benchmark — 1× in this paper · explained in 2 episodes
• Decode — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Redundancy — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Stabilizer States — 1× in this paper · explained in 2 episodes

Sources

• Faster quantum chemistry simulations on a quantum computer with improved tensor factorization and active volume compilation
• Quantum measurements and the Abelian Stabilizer Problem
• Qubitization of Arbitrary Basis Quantum Chemistry Leveraging Sparsity and Low Rank Factorization
• Applications of the Quantum Phase Difference Estimation Algorithm to the Excitation Energies in Spin Systems on a NISQ Device
• Quantum Phase Estimation without Controlled Unitaries
• Variational Quantum Algorithms in the era of Early Fault Tolerance
• Practical quantum advantage on partially fault-tolerant quantum computer
• Benchmarking logical three-qubit quantum Fourier transform encoded in the Steane code on a trapped-ion quantum computer
• Demonstration of logical qubits and repeated error correction with better-than-physical error rates
• Fault-tolerant quantum computation with a neutral atom processor
• Demonstrating real-time and low-latency quantum error correction with superconducting qubits
• Scaling and logic in the color code on a superconducting quantum processor
• Magic state cultivation: growing T states as cheap as CNOT gates
• Survival of the Optimized: An Evolutionary Approach to T-depth Reduction
• Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates
• Open Quantum Assembly Language
• Digital quantum magnetism on a trapped-ion quantum computer
• Order-of-magnitude extension of qubit lifetimes with a decoherence-free subspace quantum error correction code
• Error mitigation and circuit division for early fault-tolerant quantum phase estimation
• Locality-aware Pauli-based computation for local magic state preparation

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