paper / nathanwiebe / Apr 17
A novel quantum algorithm is presented for simulating pre-Born-Oppenheimer electron-nuclear dynamics using a first-quantized real-space grid. This method achieves significant cost reductions by optimizing Hamiltonian block-encoding through linear scaling swap networks and an alternating sign implementation of Coulomb interactions. The algorithm demonstrates substantial efficiency improvements, lowering resource requirements for fault-tolerant photochemical reaction simulations.
quantum-computingquantum-algorithmsmolecular-simulationcomputational-chemistryfault-tolerant-quantum-computingquantum-chemistry
“The quantum algorithm provides direct first-principles simulation of electron-nuclear dynamics.”
paper / nathanwiebe / Apr 17
A novel quantum algorithm is proposed to accurately simulate Resonant Inelastic X-ray Scattering (RIXS) spectra for molecular clusters found in Li-excess cathodes. This method utilizes quantum phase estimation and quantum signal processing to overcome current classical simulation challenges in interpreting RIXS experimental data, which is crucial for understanding structural degradation in high-capacity battery materials. The algorithm can effectively model complex quantum phenomena, offering a significant advancement in material science research.
quantum-algorithmsquantum-computingbattery-materialsx-ray-scatteringmaterials-sciencequantum-chemistry
“Interpreting RIXS experimental spectra is challenging due to the lack of accurate simulations.”
paper / nathanwiebe / Apr 17
This paper extends the connection between Quantum Error Correction (QEC) and Lattice Gauge Theories (LGTs) by representing Z_N gauge theories with dynamical matter as qudit stabilizer codes. This formalism allows for an exact mapping of the encoded Z_N gauge theory onto two distinct bosonic models, revealing a logical duality. The work demonstrates how QEC acts as a unifying language for understanding dual descriptions of LGTs and generalizes previous Z_2 constructions to N-level qudits, offering a method for fault-tolerant gate implementation via state injection.
quantum-physicsquantum-error-correctionlattice-gauge-theoryqudit-stabilizer-codesbosonic-modelsquantum-computing
“Z_N lattice gauge theories with prime dimension N and dynamical matter can be expressed as qudit stabilizer codes.”
paper / nathanwiebe / Apr 17
This paper introduces a quantum algorithm designed for efficiently simulating nonlinear stochastic differential equations (NSDEs) driven by the Ornstein-Uhlenbeck stochastic process. The algorithm addresses the inherent challenges of simulating NSDEs on both classical (due to degrees of freedom) and quantum (due to quantum mechanics' linear and unitary nature) computers. It achieves logarithmic query complexity with error tolerance and nearly quadratic scaling with simulation time, making it a significant advancement for large-scale NSDE simulations.
quantum-simulationnonlinear-stochastic-differential-equationsquantum-algorithmsornstein-uhlenbeck-processcarleman-linearizationhamiltonian-simulationquantum-physics
“A quantum algorithm efficiently simulates nonlinear stochastic differential equations (NSDEs) driven by the Ornstein-Uhlenbeck (OU) stochastic process.”
paper / nathanwiebe / Apr 17
The paper introduces Encoded Quantum Signal Processing (EQSP), a framework unifying quantum error detection and quantum signal processing for robust quantum metrology. EQSP enables the construction of logical sensors highly resistant to noise while preserving sensitivity to target signals. This approach facilitates Heisenberg-limited precision even under realistic noise conditions, a significant advancement in quantum sensing.
quantum-computingquantum-metrologyquantum-error-correctionheisenberg-limitquantum-signal-processingnoise-resilience
“Encoded Quantum Signal Processing (EQSP) allows for Heisenberg-limited measurement precision in the presence of noise.”