Chemistry on quantum computers with virtual quantum subspace expansion

Several novel methods for performing calculations relevant to quantum chemistry on quantum computers have been proposed but not yet explored experimentally. Virtual quantum subspace expansion [T. Takeshita et al., Phys. Rev. X 10, 011004 (2020)] is one such algorithm developed for modeling complex molecules using their full orbital space and without the need for additional quantum resources. We implement this method on the IBM Q platform and calculate the potential energy curves of the hydrogen and lithium dimers using only two qubits and simple classical post-processing. A comparable level of accuracy would require twenty qubits with previous approaches. We also develop an approach to minimize the impact of experimental noise on the stability of a generalized eigenvalue problem that is a crucial component of the algorithm. Our results demonstrate that virtual quantum subspace expansion works well in practice

Approximate Quantum Circuit Synthesis using Block-Encodings

One of the challenges in quantum computing is the synthesis of unitary operators into quantum circuits with polylogarithmic gate complexity. Exact synthesis of generic unitaries requires an exponential number of gates in general. We propose a novel approximate quantum circuit synthesis technique by relaxing the unitary constraints and interchanging them for ancilla qubits via block-encodings. This approach combines smaller block-encodings, which are easier to synthesize, into quantum circuits for larger operators. Due to the use of block-encodings, our technique is not limited to unitary operators and can also be applied for the synthesis of arbitrary operators. We show that operators which can be approximated by a canonical polyadic expression with a polylogarithmic number of terms can be synthesized with polylogarithmic gate complexity with respect to the matrix dimension

Approximate Green's Function Coupled Cluster Method Employing Effective Dimension Reduction

The Green's function coupled cluster (GFCC) method is a powerful many-body tool for computing the electronic structure of molecular and periodic systems, especially when electrons of the system are strongly correlated. However, for the GFCC to be routinely used in the electronic structure calculations, robust numerical techniques and approximations must be employed to reduce its high computational overhead. In our recent studies, we demonstrated that the GFCC equations can be solved directly in the frequency domain using iterative linear solvers, which can be easily distributed in a massively parallel environment. In the present work, we demonstrate a successful application of model-order-reduction (MOR) techniques in the GFCC framework. Briefly, for a frequency regime which requires high resolution spectral function, instead of solving GFCC linear equation of full dimension for every single frequency point, an efficiently-solvable linear system model of a reduced dimension may be built upon projecting the original GFCC linear system onto a subspace. From this reduced order model is obtained a reasonable approximation to the full dimensional GFCC linear equations in both interpolative and extrapolative spectral regions. Here, we show that the subspace can be properly constructed in an iterative manner from the auxiliary vectors of the GFCC linear equations at some selected frequencies within the spectral region of interest. During the iterations, the quality of the subspace and the linear system model can be systematically improved. The method is tested in terms of the efficiency and accuracy of computing spectral functions for some typical molecular systems such as carbon monoxide, 1,3-butadiene, benzene, and adenine. As a byproduct, the obtained reduced order model may provide a high quality initial guess which improves the convergence rate for the existing iterative linear solver.Comment: 29 pages, 8 figure

Hydrogen peroxide scavenging is not a virulence determinant in the pathogenesis of Haemophilus influenzae type b strain Eagan

BACKGROUND: A potentially lethal flux of hydrogen peroxide (H(2)O(2)) is continuously generated during aerobic metabolism. It follows that aerobic organisms have equipped themselves with specific H(2)O(2 )dismutases and H(2)O(2 )reductases, of which catalase and the alkyl hydroperoxide reductase (AhpR) are the best-studied prokaryotic members. The sequenced Haemophilus influenzae Rd genome reveals one catalase, designated HktE, and no AhpR. However, Haemophilus influenzae type b strain Eagan (Hib), a causative agent of bacterial sepsis and meningitis in young children, disrupted in its hktE gene is not attenuated in virulence, and retains the ability to rapidly scavenge H(2)O(2). This redundancy in H(2)O(2)-scavenging is accounted for by peroxidatic activity which specifically uses glutathione as the reducing substrate. RESULTS: We show here that inside acatalasaemic H. influenzae all of the residual peroxidatic activity is catalyzed by PGdx, a hybrid peroxiredoxin-glutaredoxin glutathione-dependent peroxidase. In vitro kinetic assays on crude hktE(- )pgdx(- )H. influenzae Rd extracts revealed the presence of NAD(P)H:peroxide oxidoreductase activity, which, however, appears to be physiologically insignificant because of its low affinity for H(2)O(2 )(K(m )= 1.1 mM). Hydroperoxidase-deficient hktE(- )pgdx(- )H. influenzae Rd showed a slightly affected aerobic growth phenotype in rich broth, while, in chemically defined medium, growth was completely inhibited by aerobic conditions, unless the medium contained an amino acid/vitamin supplement. To study the role of PGdx in virulence and to assess the requirement of H(2)O(2)-scavenging during the course of infection, both a pgdx single mutant and a pgdx/hktE double mutant of Hib were assayed for virulence in an infant rat model. The ability of both mutant strains to cause bacteremia was unaffected. CONCLUSION: Catalase (HktE) and a sole peroxidase (PGdx) account for the majority of scavenging of metabolically generated H(2)O(2 )in the H. influenzae cytoplasm. Growth experiments with hydroperoxidase-deficient hktE(- )pgdx(- )H. influenzae Rd suggest that the cytotoxicity inflicted by the continuous accumulation of H(2)O(2 )during aerobic growth brings about bacteriostasis rather than bacterial killing. Finally, H(2)O(2)-scavenging is not a determinant of Hib virulence in the infant rat model of infection

Structural interpretation of the amino acid sequence of a second domain from the Artemia covalent polymer globin

Artemia has a complex extracellular hemoglobin of Mr 260,000 comprising two globin chains (Mr 130,000) each of which is a polymer of eight covalently linked domains of Mr 16,000. The primary structure of this polymeric globin was studied to understand how globin folded domains are ordered within a globin chain and, in turn, how the latter associate into a functional hemoglobin molecule. Here we report the amino acid sequence of a second domain, E7 (Mr 16,081, excluding the heme), and interpretations of sequence data by computer-assisted alignment and modeling. This clearly shows that, as with domain E1 (Moens, L. Van Hauwaert, M.-L. De Smet, K. Geelen, D. Verpooten, G. Van Beeumen, J. Wodak, S. Alard, P. & Trotman, C. (1988) J. Biol. Chem. 263, 4679-4685), domain E7 is compatible with a globin folded structure of the β-type chain. Several specific differences of domains E7 and E1 from the classic globins are identified. They possibly can be interpreted in terms of specific requirements for a double octameric functional molecule.SCOPUS: ar.jinfo:eu-repo/semantics/publishe