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The near-term utility of quantum computers is hindered by hardware constraints in the form of noise. One path to achieving noise resilience in hybrid quantum algorithms is to decrease the required circuit depth - the number of applied gates - to solve a given problem. This work demonstrates how to reduce circuit depth by combining the transcorrelated (TC) approach with adaptive quantum ansätze and their implementations in the context of variational quantum imaginary time evolution (AVQITE). The combined TC-AVQITE method is used to calculate ground state energies across the potential energy surfaces of H4, LiH, and H2O. In particular, H4 is a notoriously difficult case where unitary coupled cluster theory, including singles and doubles excitations, fails to provide accurate results. Adding TC yields energies close to the complete basis set (CBS) limit while reducing the number of necessary operators - and thus circuit depth - in the adaptive ansätze. The reduced circuit depth furthermore makes our algorithm more noise-resilient and accelerates convergence. Our study demonstrates that combining the TC method with adaptive ansätze yields compact, noise-resilient, and easy-to-optimize quantum circuits that yield accurate quantum chemistry results close to the CBS limit.
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Motivational deficits in patients recovering from stroke are common and can reduce active participation in rehabilitation and thereby impede functional recovery. We investigated whether stroke patients with clinically reduced drive, initiation, and endurance during functional rehabilitative training (n = 30) display systematic alterations in effort-based decision making compared to age, sex, and severity-matched stroke patients (n = 30) whose drive appeared unaffected. Notably, the two groups did not differ in self-reported ratings of apathy and depression. However, on an effort-based decision-making task, stroke patients with clinically apparent drive impairment showed intact willingness to accept effort for reward, but were more likely to fail to execute the required effort compared to patients without apparent drive impairments. In other words, the decision behavioural assessment revealed that stroke patients that displayed reduced drive, initiation, and endurance during inpatient neurorehabilitation failed to persist in goal-directed effort production, even over very short periods. These findings indicate that reduced drive during rehabilitative therapy in post-stroke patients is not due to a diminished motivation to invest physical effort, but instead is related to a reduced persistence with effortful behaviour.
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Apatia , Tomada de Decisões , Humanos , Cognição , Motivação , RecompensaRESUMO
The modeling of spin-orbit coupling (SOC) remains a challenge in computational chemistry due to the high computational cost. With the rising popularity of spin-driven processes and f-block metals in chemistry and materials science, it is incumbent on the community to develop accurate multiconfigurational SOC methods that scale to large systems and understand the limits of different treatments of SOC. Herein, we introduce an implementation of perturbative SOC in scalar-relativistic two-component CASSCF (srX2C-CASSCF-SO). Perspectives on the limitations and accuracy of srX2C-CASSCF-SO are presented via benchmark calculations.
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We present a self-consistent field (SCF) approach within the adaptive derivative-assembled problem-tailored ansatz variational quantum eigensolver (ADAPT-VQE) framework for efficient quantum simulations of chemical systems on near-term quantum computers. To this end, our ADAPT-VQE-SCF approach combines the idea of generating an ansatz with a small number of parameters, resulting in shallow-depth quantum circuits with a direct minimization of an energy expression that is correct to second order with respect to changes in the molecular orbital basis. Our numerical analysis, including calculations for the transition-metal complex ferrocene [Fe (C5H5)2], indicates that convergence in the self-consistent orbital optimization loop can be reached without a considerable increase in the number of two-qubit gates in the quantum circuit by comparison to a VQE optimization in the initial molecular orbital basis. Moreover, the orbital optimization can be carried out simultaneously within each iteration of the ADAPT-VQE cycle. ADAPT-VQE-SCF thus allows us to implement a routine analogous to the complete active space SCF, a cornerstone of state-of-the-art computational chemistry, in a hardware-efficient manner on near-term quantum computers. Hence, ADAPT-VQE-SCF paves the way toward a paradigm shift for quantitative quantum-chemistry simulations on quantum computers by requiring fewer qubits and opening up for the use of large and flexible atomic orbital basis sets in contrast to earlier methods that are predominantly based on the idea of full active spaces with minimal basis sets.
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We test the performance of the polarizable embedding variational quantum eigensolver self-consistent field (PE-VQE-SCF) model for computing electric field gradients with comparisons to conventional complete active space self-consistent-field (CASSCF) calculations and experimental results. We compute quadrupole coupling constants for ice VIII and ice IX. We find close agreement of the quantum-computing PE-VQE-SCF results with the results from the classical PE-CASSCF calculations and with experiment. Furthermore, we observe that the inclusion of the environment is crucial for obtaining results that match the experimental data. The calculations for ice VIII are within the experimental uncertainty for both CASSCF and VQE-SCF for oxygen and lie close to the experimental value for ice IX as well. With the VQE-SCF, which is based on an adaptive derivative-assembled problem-tailored (ADAPT) ansatz, we find that the inclusion of the environment and the size of the different basis sets do not directly affect the gate counts. However, by including an explicit environment, the wavefunction and therefore the optimization problem become more complicated, which usually results in the need to include more operators from the operator pool, thereby increasing the depth of the circuit.
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We formulate and implement the Variational Quantum Eigensolver Self Consistent Field (VQE-SCF) algorithm in combination with polarizable embedding (PE), thereby extending PE to the regime of quantum computing. We test the resulting algorithm, PE-VQE-SCF, on quantum simulators and demonstrate that the computational stress on the quantum device is only slightly increased in terms of gate counts compared to regular VQE-SCF. On the other hand, no increase in shot noise was observed. We illustrate how PE-VQE-SCF may lead to the modeling of real chemical systems using a simulation of the reaction barrier of the Diels-Alder reaction between furan and ethene as an example.
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The fully correlated frequency-independent Dirac-Coulomb-Breit Hamiltonian provides the most accurate description of electron-electron interaction before going to a genuine relativistic quantum electrodynamics theory of many-electron systems. In this work, we introduce a correlated Dirac-Coulomb-Breit multiconfigurational self-consistent-field method within the frameworks of complete active space and density matrix renormalization group. In this approach, the Dirac-Coulomb-Breit Hamiltonian is included variationally in both the mean-field and correlated electron treatment. We also analyze the importance of the Breit operator in electron correlation and the rotation between the positive- and negative-orbital space in the no-virtual-pair approximation. Atomic fine-structure splittings and lanthanide contraction in diatomic fluorides are used as benchmark studies to understand the contribution from the Breit correlation.
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In its current state the German healthcare system will not be able to adequately care for a growing proportion of older patients with a decreasing healthcare work force. This is particularly so in the postacute care of severely ill patients. In a second of two parts we discuss the perspectives and options at hand. A major conclusion is that substantial gains could be obtained by regulatory adjustments that better align acute care and rehabilitative measures.
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Reabilitação Neurológica , Humanos , Demografia , Alta do PacienteRESUMO
In the next two decades the aging baby boomers in Germany will gradually be leaving the work force. They are being followed by the much less numerous, "baby bust" generation who now need to finance and staff healthcare for the growing number of old people in society. In order to care for more needy persons with a smaller working population, the healthcare system must be restructured; however, despite these worrisome prospects, the awareness of the problem is still low in many areas. Here we focus on the area in the healthcare system that is growing particularly rapidly and additionally has the greatest need of personnel per patient: the care of the critically ill and functionally impaired patients. The lack of coordination of hospitals, rehabilitation centers and nursing institution is historical in origin. It promotes the tendency to discharge functionally impaired patients to nursing facilities without giving them a chance for recovery of functional autonomy. As the demographic change progresses, this tendency threatens to increase. In a first of two parts, we attempt to describe the present situation.
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Atenção à Saúde , Reabilitação Neurológica , Humanos , Demografia , AlemanhaRESUMO
Functional recovery after stroke is dose-dependent on the amount of rehabilitative training. However, rehabilitative training is subject to motivational hurdles. Decision neuroscience formalizes drivers and dampers of behaviour and provides strategies for tipping motivational trade-offs and behaviour change. Here, we used one such strategy, upfront voluntary choice restriction ('precommitment'), and tested if it can increase the amount of self-directed rehabilitative training in severely impaired stroke patients. In this randomized controlled study, stroke patients with working memory deficits (n = 83) were prescribed daily self-directed gamified cognitive training as an add-on to standard therapy during post-acute inpatient neurorehabilitation. Patients allocated to the precommitment intervention could choose to restrict competing options to self-directed training, specifically the possibility to meet visitors. This upfront choice restriction was opted for by all patients in the intervention group and highly effective. Patients in the precommitment group performed the prescribed self-directed gamified cognitive training twice as often as control group patients who were not offered precommitment [on 50% versus 21% of days, Pcorr = 0.004, d = 0.87, 95% confidence interval (CI95%) = 0.31 to 1.42], and, as a consequence, reached a 3-fold higher total training dose (90.21 versus 33.60 min, Pcorr = 0.004, d = 0.83, CI95% = 0.27 to 1.38). Moreover, add-on self-directed cognitive training was associated with stronger improvements in visuospatial and verbal working memory performance (Pcorr = 0.002, d = 0.72 and Pcorr = 0.036, d = 0.62). Our neuroscientific decision add-on intervention strongly increased the amount of effective cognitive training performed by severely impaired stroke patients. These results warrant a full clinical trial to link decision-based neuroscientific interventions directly with clinical outcome.
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Reabilitação Neurológica/métodos , Reabilitação Neurológica/psicologia , Cooperação do Paciente/psicologia , Reabilitação do Acidente Vascular Cerebral/métodos , Reabilitação do Acidente Vascular Cerebral/psicologia , Idoso , Transtornos Cognitivos/etiologia , Transtornos Cognitivos/reabilitação , Feminino , Humanos , Masculino , Pessoa de Meia-Idade , Motivação , Recuperação de Função Fisiológica , Acidente Vascular Cerebral/complicações , Jogos de VídeoRESUMO
In this work we develop a variational relativistic density matrix renormalization group (DMRG) approach within the exact-two-component (X2C) framework (X2C-DMRG), using spinor orbitals optimized with the two-component relativistic complete active space self-consistent field. We investigate fine-structure splittings of p- (Ga, In, Tl) and d-block (Sc, Y, La) atoms and excitation energies of monohydride molecules (GeH, SnH, and TlH) with X2C-DMRG calculations using an all-electron relativistic Hamiltonian in a Kramers-unrestricted basis. We find that X2C-DMRG yields accurate 2P and 2D splittings compared to multireference configuration interaction with singles and doubles (MRCISD). We also investigated the degree of symmetry breaking in the atomic multiplets and convergence of electron correlation in the total energies. Symmetry breaking can be large in some cases (â¼30 meV); however, increasing the number of renormalized block states m for the DMRG optimization recovers the symmetry breaking by several orders of magnitude. Encouragingly, we find the convergence of electron correlation to be close to MRCISDTQ5 quality. Relativistic X2C-DMRG approaches are important for cases where spin-orbit coupling is significant and the underlying reference wave function requires a large determinantal space. We are able to obtain quantitatively correct fine-structure splittings for systems up to 1019 number of determinants with traditional CI approaches, which are currently unfeasible to converge for the field.
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Based on self-consistent field (SCF) atomic mean-field (amf) quantities, we present two simple yet computationally efficient and numerically accurate matrix-algebraic approaches to correct both scalar-relativistic and spin-orbit two-electron picture-change effects (PCEs) arising within an exact two-component (X2C) Hamiltonian framework. Both approaches, dubbed amfX2C and e(xtended)amfX2C, allow us to uniquely tailor PCE corrections to mean-field models, viz. Hartree-Fock or Kohn-Sham DFT, in the latter case also avoiding the need for a point-wise calculation of exchange-correlation PCE corrections. We assess the numerical performance of these PCE correction models on spinor energies of group 18 (closed-shell) and group 16 (open-shell) diatomic molecules, achieving a consistent ≈10-5 Hartree accuracy compared to reference four-component data. Additional tests include SCF calculations of molecular properties such as absolute contact density and contact density shifts in copernicium fluoride compounds (CnFn, n = 2,4,6), as well as equation-of-motion coupled-cluster calculations of x-ray core-ionization energies of 5d- and 6d-containing molecules, where we observe an excellent agreement with reference data. To conclude, we are confident that our (e)amfX2C PCE correction models constitute a fundamental milestone toward a universal and reliable relativistic two-component quantum-chemical approach, maintaining the accuracy of the parent four-component one at a fraction of its computational cost.
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Very little is known about the Rydberg states of molecular cations, i.e., Rydberg states having a doubly charged ion core. With the example of MgAr+, we present general features of the structure and dynamics of the Rydberg states of molecular cations, which we find are subject to the process of charge-transfer-induced predissociation. Our study focuses on the spectrum of low-n Rydberg states with potential-energy functions associated with the Mg+(3d and 4s) + Ar(1S0) dissociation asymptotes. In particular, we have recorded spectra of the 3dπΩ' (Ω' = 1/2, 3/2) Rydberg states, extending from the lowest (v' = 0) vibrational levels to their dissociation limits. This spectral range encompasses the region where the onset of predissociation by interaction with the mostly repulsive 2Σ and 2Π charge-transfer states associated with the Mg(3s2) + Ar+(2P1/2,3/2) dissociation asymptotes is observed. This interaction leads to very strong perturbations of the 3dπ Rydberg states of MgAr+, revealed by vibrational progressions exhibiting large and rapid variations of the vibrational intervals, line widths, and spin-orbit splittings. We attribute the anomalous sign and magnitude of the spin-orbit coupling constant of the 3dπ state to the interaction with a 2Π Rydberg state correlating to the Mg+(4p) + Ar(1S0) dissociation limit. To analyze our spectra and elucidate the underlying process of charge-transfer-induced predissociation, we implemented a model that allowed us to derive the potential-energy functions of the charge-transfer states and to quantitatively reproduce the experimental results. This analysis characterizes the main features of the dynamics of the Rydberg series converging to the ground state of MgAr2+. We expect that the results and analysis reported here are qualitatively valid for a broader range of singly charged molecular cations, which are inherently prone to charge-transfer interactions.
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OBJECTIVE: This prospective study investigated the extent to which patients undergoing neurorehabilitation reported pain, how this pain developed during inpatient stay and whether patients were treated accordingly (using pain medication). METHODS: The extent of pain, performance in daily activities, with a focus on possible impairment from pain, and pain medication were assessed at the beginning and the end of neurorehabilitation treatment. Overall 584 patients, with various neurological diagnoses, such as stroke, intracerebral hemorrhage, polyneuropathy, etc. were classified into four groups based on whether they reported having "no pain," "mild pain," "moderate pain," or "severe pain." All patients received conventional neurorehabilitation therapy in the Mauritius Hospital, Germany. RESULTS: A total of 149 patients had clinically relevant pain at the beginning of their inpatient stay, at a group level this did not change significantly during the treatment period. At the end of inpatient stay, a slight increase was noted in patients reporting pain. Overall 164 patients suffered from moderate or severe pain, operationalized of pain scores >3 on the visual analog scale. A total of 145 patients who had pain at the end of inpatient stay, did not receive pain medication. There was a weak negative association between pain at baseline and activities of daily living at the end of the treatment period, such that, patients with higher pain levels tended to showed lower Barthel Index scores at the end. CONCLUSION: In our study, about one-third of patients suffered from clinically relevant pain during neurorehabilitation treatment and most of them did not receive any pain medication.
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Doenças do Sistema Nervoso/complicações , Doenças do Sistema Nervoso/reabilitação , Reabilitação Neurológica , Dor/diagnóstico , Dor/epidemiologia , Adulto , Idoso , Feminino , Alemanha , Hospitalização , Humanos , Masculino , Pessoa de Meia-Idade , Doenças do Sistema Nervoso/diagnóstico , Dor/reabilitação , Medição da Dor , Estudos Prospectivos , Resultado do TratamentoRESUMO
Treatment in hospitals differs from treatment in rehabilitation centers from a legal perspective because German law mandates that in hospitals physicians and other qualified personnel must be on duty at all times. This is not required for inpatient rehabilitation centers. Since this Act was passed more than 30 years ago, more acute medical interventions are now carried out and the number of older people in the population has increased. As a result patients are nowadays older, more multimorbid and therefore have a greater risk for medical complications. This is especially true for postacute neurological care. For this reason, the original legal framework for neurological rehabilitation treatment has become questionable. Therefore, we prospectively tested how often patients in inpatient neurorehabilitation suffer from complications that require immediate attention by qualified personnel. In 759 patients observed over a period of 6 months we found 602 complications requiring immediate interventions by physicians (e.g. falls, urinary tract infections, other forms of fever, diarrhea associated with Clostridium difficile, pneumonia, respiratory insufficiency, sepsis, epileptic seizures and arrhythmia). On average at least three acute care interventions occurred per day at the facility examined. We conclude that neurological inpatient rehabilitation has outgrown its legal foundations and now incorporates hospital care.
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Pacientes Internados , Reabilitação Neurológica , Idoso , Idoso de 80 Anos ou mais , Cuidados Críticos , Humanos , Centros de ReabilitaçãoRESUMO
We report on the experimental observation of the B+ 2Σ+ state of MgAr+ located below the Mg+(3p 2P3/2) + Ar(1S0) dissociation asymptote. Using the technique of isolated-core multiphoton Rydberg-dissociation spectroscopy, we have recorded rotationally resolved spectra of the B+ 2Σ+(v') â X+ 2Σ+(vâ³ = 7) transitions, which extend from the vibrational ground state (v' = 0) to the dissociation continuum above the Mg+(3p 2P3/2) + Ar(1S0) dissociation threshold. The analysis of the rotational structure reveals a transition from Hund's angular-momentum-coupling case (b) at low v' values to case (c) at high v' values caused by the spin-orbit interaction. Measurements of the kinetic-energy release and the angular distribution of the Mg+ fragments detected in the experiments enabled the characterization of the dissociation mechanisms. The vibrational levels of the B+ state above v' = 6 are subject to predissociation into the Mg+(3p 2P1/2) + Ar(1S0) continuum, and the fragment angular distributions exhibit anisotropy ß parameters around 0.5, whereas direct dissociation into the continuum above the Mg+(3p 2P3/2) + Ar(1S0) asymptote is characterized by ß parameters approaching 2. Molecular ions excited to the B+ state with v' = 0-6 efficiently absorb a second photon to the repulsive part of the 2Σ+ state associated with the Mg+(3d 2D3/2,5/2) + Ar(1S0) continua. The interpretation of the data is validated by the results of ab initio calculations of the low-lying electronic states of MgAr+, which provided initial evidence for the existence of bound vibrational levels of the B+ state and for the photodissociation mechanisms of its low vibrational levels.
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DIRAC is a freely distributed general-purpose program system for one-, two-, and four-component relativistic molecular calculations at the level of Hartree-Fock, Kohn-Sham (including range-separated theory), multiconfigurational self-consistent-field, multireference configuration interaction, electron propagator, and various flavors of coupled cluster theory. At the self-consistent-field level, a highly original scheme, based on quaternion algebra, is implemented for the treatment of both spatial and time reversal symmetry. DIRAC features a very general module for the calculation of molecular properties that to a large extent may be defined by the user and further analyzed through a powerful visualization module. It allows for the inclusion of environmental effects through three different classes of increasingly sophisticated embedding approaches: the implicit solvation polarizable continuum model, the explicit polarizable embedding model, and the frozen density embedding model.
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MOLCAS/OpenMolcas is an ab initio electronic structure program providing a large set of computational methods from Hartree-Fock and density functional theory to various implementations of multiconfigurational theory. This article provides a comprehensive overview of the main features of the code, specifically reviewing the use of the code in previously reported chemical applications as well as more recent applications including the calculation of magnetic properties from optimized density matrix renormalization group wave functions.
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Neurorehabilitation comprises medical and functional treatment. If patients in the post-hospital phase need acute medical interventions but these cannot be provided by the rehabilitation center, patients must be referred to suitable acute care hospitals; however, such referrals incur additional costs, are fraught with medical risks and delay further rehabilitation. We evaluated how integrating non-neurological medical specialties and a hospital unit into a neurorehabilitation center affects the rate of acute hospital referrals. The special situation in North-Rhine Westfalia, which was the last state in Germany to grant restricted hospital certification to neurorehabilitation centers, enabled a longitudinal assessment over 10 years. We analyzed the referral rate at one of the first hospitals in the state, which in addition to rehabilitation treatment (according to § 40 of the Social Security Code V, SGB V) now also provide hospital treatment (according to § 39 SGB V) and have reorganized in preparation for integrated treatment structures. In the center investigated (St. Mauritius Therapy Hospital Meerbusch) the average patient age increased between 2007 and 2017 from 69 years to 72 years and the proportion of severely ill patients on admission by 70%. Starting in 2012 integrated structures were established in a stepwise fashion with the inclusion of specialists in intensive care, cardiology and neurosurgery, extension of the diagnostic and interventional spectrum and establishment of a 24/7 emergency team with back-up from a new intensive care and mechanical ventilation unit. As a result referrals to hospitals dropped by more than 50% in all categories of disease severity despite the increase in age and morbidity. In view of the savings in costs of hospital treatment, reduced risks due to transfer and less interruption of rehabilitation, it is concluded that the efficacy of patient treatment is improved by discipline and sector integrated neurorehabilitation compared to isolated structures.
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Reabilitação Neurológica , Centros de Reabilitação , Custos e Análise de Custo , Alemanha , Humanos , Reabilitação Neurológica/economia , Reabilitação Neurológica/normas , Centros de Reabilitação/economia , Centros de Reabilitação/normasRESUMO
We analyze resonance Raman spectra of the nucleobase uracil in the short-time approximation calculated with multiconfigurational methods. We discuss the importance of static electron correlation by means of density-matrix renormalization group self-consistent field (DMRG-SCF) calculations. Our DMRG-SCF results reveal that a minimal active orbital space that leads to a qualitatively correct description of the resonance Raman spectrum of uracil should encompass parts of the σ/σ* bonding/anti-bonding orbitals of the pyrimidine ring. We trace these findings back to the considerable entanglement between the σ/σ* bonding/anti-bonding as well as valence π/π* orbitals in the excited-state electronic structure of uracil, which indicates non-negligible non-dynamical correlation effects that are less pronounced in the electronic ground state.