Improved hardness results for the guided local Hamiltonian problem

Estimating the ground state energy of a local Hamiltonian is a central problem in quantum chemistry. In order to further investigate its complexity and the potential of quantum algorithms for quantum chemistry, Gharibian and Le Gall (STOC 2022) recently introduced the guided local Hamiltonian problem (GLH), which is a variant of the local Hamiltonian problem where an approximation of a ground state (which is called a guiding state) is given as an additional input. Gharibian and Le Gall showed quantum advantage (more precisely, BQP-completeness) for GLH with 6-local Hamiltonians when the guiding state has fidelity (inverse-polynomially) close to 1/2 with a ground state. In this paper, we optimally improve both the locality and the fidelity parameter: we show that the BQP-completeness persists even with 2-local Hamiltonians, and even when the guiding state has fidelity (inverse-polynomially) close to 1 with a ground state. Moreover, we show that the BQP-completeness also holds for 2-local physically motivated Hamiltonians on a 2D square lattice or a 2D triangular lattice. Beyond the hardness of estimating the ground state energy, we also show BQP-hardness persists when considering estimating energies of excited states of these Hamiltonians instead. Those make further steps towards establishing practical quantum advantage in quantum chemistry

A Neuro-Fuzzy Based Alarm System for Septic Shock Patients with a Comparison to Medical Scores

During the last years we collected data of abdominal septic shock patients from clinics all over Germany. The mortality of septic shock is about 50%. Septic shock is related to immune system reactions and unusual measurements. Septic shock patients are intensely medicated during their stay at the intensive care unit. To help physicians recognizing the critical states of their patients as early as possible, we built a rule based alarm system based on a neuro-fuzzy inference machine. Analysing the patient data..

Frequency and characteristics of pruritus in patients with monoclonal gammopathy: a case-control study

International audienceChronic pruritus (CP) is a frequent symptom in many skin and systemic diseases(1), including haematological malignancies. It is described in 30% of Hodgkin lymphoma patients and in patients with myeloproliferative disorders, particularly in polycythaemia vera(2,3). Serum protein electrophoresis (SPEP) is recommended in laboratory screening for CP(4). However, the literature about pruritus in monoclonal gammapathies (MGs) is scarce(5-7). The aim of this study was to determine the frequency and clinical characteristics of pruritus in patients with MGs in comparison to controls with normal SPEP results

Reassessment of branched Lithophyllum spp. (Corallinales, Rhodophyta) in the Caribbean Sea with global implications

Plastid-encoded rbcL and psbA sequences from branched, Caribbean Sea Lithophyllum specimens indicate that four species are present, not one. Short (263 base pairs) rbcL sequences from an isolectotype of L. kaiseri (Gulf of Suez) and the holotypes of L. congestum, L. daedaleum and L. platyphyllum (Caribbean Sea) show that L. congestum and L. daedaleum are conspecific with L. kaiseri, the last having nomenclatural priority. Lithophyllum platyphyllum, currently considered a synonym of L. congestum, is recognised as a valid species. Lithophyllum stictaeforme, originally described from the Mediterranean Sea, is not conspecific with L. kaiseri (as L. congestum) as previously suggested. Lithophyllum neocongestum sp. nov. and L. pseudoplatyphyllum sp. nov. are proposed. Together with L. platyphyllum, these three branched species are so far endemic to the Caribbean Sea. This is the first report, documented by DNA sequence data, of a coralline species (L. kaiseri) widespread through the tropical Indo-West Pacific Oceans, Red Sea and Caribbean Sea