Multi-nucleon structure and dynamics via quantum computing

We propose a method for computing the structure and dynamics for second-quantized many-nucleon Hamiltonians on quantum computers. We develop an oracle-based Hamiltonian input model that computes the many-nucleon states and non-zero Hamiltonian matrix elements of the many-nucleon system. With our Fock-state based input model, we show how to implement the sparse matrix simulation algorithms to calculate the dynamics of the second-quantized many-nucleon Hamiltonian. Based on the dynamics simulation methods, we also present the methodology for structure calculations of the many-nucleon system. In this work, we provide explicit design of our input model of the second-quantized Hamiltonian within a direct encoding scheme that maps the occupation of each available single-particle state in the many-nucleon state to the state of specific qubit in a quantum register. We analyze our method and provide the asymptotic cost in computing resources for structure and dynamics calculations of many-nucleon systems. For pedagogical purposes, we demonstrate our input model with two model problems in restricted model spaces.Comment: 32 pages, 3 figures. We welcome comment

Formation of High-Quality BaSi2 Thin-films with Large Photoresponsivity and the Structure Design for BaSi2 Solar Cells

筑波大学 (University of Tsukuba)201

Novel heart failure biomarkers:Physiological studies to understand their complexity

The emerging novel heart failure (HF) biomarkers have been shown to provide additional value for prognosis and disease management. However, their plasma levels can be affected by other diseases and potential HF co-morbidities. This may explain why these purported HF biomarkers have still not found their way into daily clinical practice, in contrast to natriuretic peptides. Additionally, these biomarkers may also constitute interesting therapeutic targets. Therefore, we explore the potential of therapeutic targeting of certain HF biomarkers and investigate the cardiac and non-cardiac contribution of HF biomarkers in cardiac disease by using mouse and rat HF models. We demonstrated mechanistic insights of miR-328 in promoting cardiac fibrosis and the potentials as a therapeutic target for treatment of cardiac fibrotic disease by a specific antagomir. Pharmacological inhibition of myeloperoxidase (MPO), only temporally delayed but did not inhibit cardiac remodeling upon pressure overload. The absence of MPO elevation post-TAC is opposite to what has been found in post-MI mouse studies, indicating the role of MPO in cardiac remodeling may be dependent on the etiology. Our comprehensive HF animal models in mouse and in rat revealed that only ANP plasma levels can indicated specific indices for cardiac remodeling, but other alleged novel biomarkers (Gal-3, GDF-15 and TIMP1) may also reflect stress in other organs, either as a consequence of the failing heart and/or as a consequence of other underlying comorbidities. More studies are needed to better understand organ plasma biomarker contribution under different disease states for providing better explanation of their biology

Sub Coulomb barrier d+208^{208}Pb scattering in the time-dependent basis function approach

We employ the ab initio non-perturbative time-dependent basis function (tBF) approach to study the scattering of the deuteron on $^{208}$Pb below the Coulomb barrier. We obtain the bound and discretized scattering states of the projectile, which form the basis representation of the tBF approach, by diagonalizing a realistic Hamiltonian in a large harmonic oscillator basis. We find that the higher-order inelastic scattering effects are noticeable for sub barrier scatterings with the tBF method. We have successfully reproduced experimental sub Coulomb barrier elastic cross section ratios with the tBF approach by considering only the electric dipole (E1) component of the Coulomb interaction between the projectile and the target during scatterings. We find that the correction of the polarization potential to the Rutherford trajectory is dominant in reproducing the data at very low bombarding energies, whereas the role of internal transitions of the deuteron projectile induced by the E1 interaction during the scattering becomes increasingly dominant at higher bombarding energies.Comment: 9 pages, 4 figure

An Efficient Quantum Circuit for Block Encoding a Pairing Hamiltonian

We present an efficient quantum circuit for block encoding pairing Hamiltonian often studied in nuclear physics. Our block encoding scheme does not require mapping the creation and annihilation operators to the Pauli operators and representing the Hamiltonian as a linear combination of unitaries. Instead, we show how to encode the Hamiltonian directly using controlled swap operations. We analyze the gate complexity of the block encoding circuit and show that it scales polynomially with respect to the number of qubits required to represent a quantum state associated with the pairing Hamiltonian. We also show how the block encoding circuit can be combined with the quantum singular value transformation to construct an efficient quantum circuit for approximating the density of states of a pairing Hamiltonian. The techniques presented can be extended to encode more general second-quantized Hamiltonians.Comment: 27 pages, 18 figure