Growth reduction of similarity transformed electronic Hamiltonians in qubit space

Accurately solving the electronic structure problem through the variational quantum eigensolver (VQE) is hindered by the available quantum resources of current and near-term devices. One approach to relieving the circuit depth requirements for VQE is to "pre-process" the electronic Hamiltonian by a similarity transformation incorporating some degree of electronic correlation, with the remaining correlation left to be addressed by the circuit ansatz. This often comes at the price of a substantial increase in the number of terms to measure in the unitarily transformed Hamiltonian. In this work, we propose an efficient approach to sampling elements from the unrestricted pool of N-qubit Pauli products which minimize the onset of new terms in the transformed Hamiltonian, while facilitating substantial energy lowering. We find that utilizing an operator selection criteria which takes into account both energy gradients and expected growth can substantially reduce the number of Pauli products in effective Hamiltonians used for a subsequent VQE optimization

Algorithmic presentation of the independent work of the students of the vocational pedagogical university in the conditions of the synchronous pedagogical control

The topicality of the investigated problem is stipulated by the demand for specialists able to develop algorithmic preparedness to perform professional activities, the level of which corresponds to modern level of technological production. The purpose of the article is to diagnose the influence of the synchronous pedagogical control on the development of preparedness for the algorithmic presentation of the independent work of the students of professional and pedagogical university. The leading approach to the study of this problem is the method of algorithmic presentation of the synchronous pedagogical control of the process of assimilation by the students of the professional knowledge and skills, enabling them to develop in algorithmic preparedness corresponding to the level of complexity of the implemented educational and professional activities. The article deals with the psychological and pedagogical approaches in the study of algorithmic preparedness to work independently as well as with the arrangements for the synchronous type of the pedagogical control in the discipline of profile preparation of students of the Russian State Vocational Pedagogical University and with the results achieved during experimental search of work indicating the effectiveness and efficiency of this type of control. The materials of the article may be useful to teachers of vocational training in the organization of practical training in the disciplines of profile preparation containing procedural knowledge and skills and, consequently, an algorithmic nature. © 2016 Dneprov et al

Quantum Kinetic Rates within the Nonequilibrium Steady State

The nonequilibrium steady state (NESS) of a quantum network is central to a host of physical and biological scenarios. Examples include natural processes such as vision and photosynthesis, as well as technical devices such as photocells, both activated by incoherent light (e.g. sunlight) and leading to quantum transport. Here, a completely general approach to defining components of a quantum network in the NESS, and obtaining rates of processes between these components is provided. Quantum effects are explicitly included throughout, both in (a) defining network components via projection operators, and (b) in determining the role of coherences in rate processes. As examples, the methodology is applied to model cases, two versions of the V-level system, and to the spin-boson model, wherein the role of the environment and of internal system properties in determining the rates is examined. In addition, the role of Markovian vs. non-Markovian contributions is quantified, exposing conditions under which NESS rates can be obtained by perturbing the nonequilibrium steady state

Professor V.N. Shubin - a doctor, scientist, teacher. 120th birth anniversary

In the article devoted to the 120th birth anniversary of Professor V.N. Shubin, his life path from a student of the medical department to the head of the Department of General surgery of Kazan medical institute is presented. Vladimir Nikolaevich Shubin was awarded the order of Lenin, ten medals, the “excellent worker of public health of RSFSR” badge, certificates of honor. He is the author of over 100 scientific papers and 6 monographs. Under his supervision, 5 doctoral and 13 master's theses were executed. Two of his followers were in charge of surgical departments in Kazan (Professor N.P. Medvedev and Professor V.G. Morozov). From 1952 to 1968 Shubin V.N. was a vice-rector for scientific work at Kazan medical institute. On August 25, 2017, in a solemn atmosphere, the memorial plaque was installed on the facade of the “old clinic”. On the memorial plaque it is written “In this building from 1937 to 1971 worked an outstanding surgeon, scientist and public figure, Professor Shubin V.N.”. Scientific heritage of V.N. Shubin is our memory of Kazan school of surgeons. The study of life of V.N. Shubin is an incentive for all of us for thinking about modern medicine and surgery

Assessment of various Hamiltonian partitionings for the electronic structure problem on a quantum computer using the Trotter approximation

Solving the electronic structure problem via unitary evolution of the electronic Hamiltonian is one of the promising applications of digital quantum computers. One of the practical strategies to implement the unitary evolution is via Trotterization, where a sequence of short-time evolutions of fast-forwardable (i.e. efficiently diagonalizable) Hamiltonian fragments is used. Given multiple choices of possible Hamiltonian decompositions to fast-forwardable fragments, the accuracy of the Hamiltonian evolution depends on the choice of the fragments. We assess efficiency of multiple Hamiltonian partitioning techniques using fermionic and qubit algebras for the Trotterization. Use of symmetries of the electronic Hamiltonian and its fragments significantly reduces the Trotter error. This reduction makes fermionic-based partitioning Trotter errors lower compared to those in qubit-based techniques. However, from the simulation-cost standpoint, fermionic methods tend to introduce quantum circuits with a greater number of T-gates at each Trotter step and thus are more computationally expensive compared to their qubit counterparts.Comment: 13 pages, 4 figure

Proposal for SPS beam time for the baby MIND and TASD neutrino detector prototypes

The design, construction and testing of neutrino detector prototypes at CERN are ongoing activities. This document reports on the design of solid state baby MIND and TASD detector prototypes and outlines requirements for a test beam at CERN to test these, tentatively planned on the H8 beamline in the North Area, which is equipped with a large aperture magnet. The current proposal is submitted to be considered in light of the recently approved projects related to neutrino activities with the SPS in the North Area in the medium term 2015-2020

Application of adaptive tools in relaparotomy wound surgery

Aim. To evaluate the clinical effectiveness of the developed adaptive tools for mechanical treatment of wound surface and suturing of relaparotomy wounds. Methods. 55 patients aged 43 to 79 years after relaparotomy operated on for various acute surgical diseases of the abdominal cavity were treated. In the main group (n=22. average age 63.5±4.75 years) in uncomplicated and complicated course of the wound process after relaparotomy for treatment of the wound surface and wound closure, adaptive tools were used as proposed by the authors. In the comparison group (n=33, average age 62±6 years; p=0.98) traditional mechanical methods of wound defect sanation and wound suturing (simple nodal, 8-shaped and U-shaped sutures) were used. Monitoring of relaparotomy wound healing was performed using an ultrasound method. The analysis of postoperative local complications in the discussed groups of patients was carried out according to Clavien-Dindo classification. Results. In patients of the main group, the multiplicity of wound surface treatment decreased by 1.8 times compared to the comparison group. There were no cases of damage to the underlying tissues of the wound edges. Wound postoperative complications corresponded to severity grade I, II, and IIIa according to Clavien-Dindo classification: in the main group - 27.3% and in the comparison group - 54.5%. Suppuration occurred respectively in 9.1 and 33.3% of patients (p=0.049). Conclusion. The developed adaptive tools are safe and effective mechanical means of prevention of wound postoperative complications after relaparotomy