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1.
Entropy (Basel) ; 26(7)2024 Jun 30.
Artigo em Inglês | MEDLINE | ID: mdl-39056930

RESUMO

The metrological limits of thermometry operated in nonequilibrium dynamical regimes are analyzed. We consider a finite-dimensional quantum system, employed as a quantum thermometer, in contact with a thermal bath inducing Markovian thermalization dynamics. The quantum thermometer is initialized in a generic quantum state, possibly including quantum coherence with respect to the Hamiltonian basis. We prove that the precision of the thermometer, quantified by the Quantum Fisher Information, is enhanced by the quantum coherence in its initial state. We analytically show this in the specific case of qubit thermometers for which the maximization of the Quantum Fisher Information occurs at a finite time during the transient thermalization dynamics. Such a finite-time precision enhancement can be better than the precision that is achieved asymptotically.

2.
Phys Rev Lett ; 129(15): 150602, 2022 Oct 07.
Artigo em Inglês | MEDLINE | ID: mdl-36269957

RESUMO

The third law of thermodynamics, also known as the Nernst unattainability principle, puts a fundamental bound on how close a system, whether classical or quantum, can be cooled to a temperature near to absolute zero. On the other hand, a fundamental assumption of quantum computing is to start each computation from a register of qubits initialized in a pure state, i.e., at zero temperature. These conflicting aspects, at the interface between quantum computing and thermodynamics, are often overlooked or, at best, addressed only at a single-qubit level. In this Letter, we argue how the existence of a small but finite effective temperature, which makes the initial state a mixed state, poses a real challenge to the fidelity constraints required for the scaling of quantum computers. Our theoretical results, carried out for a generic quantum circuit with N-qubit input states, are validated by test runs performed on a real quantum processor.

3.
Molecules ; 27(17)2022 Sep 02.
Artigo em Inglês | MEDLINE | ID: mdl-36080432

RESUMO

The 2(H)-pyran-2-one bearing electron-donating tert-butylcarbamate (BocNH-) group at the 5- position is a "chameleon" diene and undergoes efficient Diels-Alder cycloadditions with alkene dienophiles with both electron-rich and electron-deficient substituents. Cycloadditions afford the 5-substituted bicyclic lactone cycloadducts regardless of the electronic nature of the dienophile. However, cycloadditions with electronically matched electron-deficient dienophiles proceed faster than those with electronically mismatched electron-rich dienophiles.


Assuntos
Elétrons , Piranos , Carbamatos , Polienos , Estereoisomerismo
4.
Drug Deliv Transl Res ; 12(12): 3000-3006, 2022 12.
Artigo em Inglês | MEDLINE | ID: mdl-35441986

RESUMO

Hyperhidrosis is a condition in which the cholinergic receptors on the eccrine glands are overstimulated, resulting in excessive sweating. It is considered a serious cosmetic and psychological problem that affects the patient's quality of life. Searching for novel treatment modalities is required to minimize the side effects and to attain better patient satisfaction.Photodynamic therapy (PDT), using eosin as a photosensitizer, is developed as a promising modality of the treatment of palmar and axillary hyperhidrosis. In this study, we treated six cases suffering palmar hyperhidrosis by applying the fractional CO2 laser prior to PDT session. For PDT, a hydrogel of eosin loaded in a transfersomes as a nano-delivery carrier was applied for 5 min, followed by irradiation by intense pulsed light (IPL). The prepared transfersomes loaded by eosin were spherical in shape with encapsulation efficiency of 33 ± 3.5%, particle size 305.5 ± 5.7 nm, average zeta potential of - 54 ± 7.6 mV with 80 ± 4% of the loaded eosin was released after 3 h. Two cases achieved 90% improvement after four sessions, three patients needed six sessions to show 75% improvement, while one patient showed only 25% improvement after six sessions. This resulted in shortening the time of PS application and decreasing the number of sessions required to achieve acceptable improvement. More clinical studies on large number of patients are required to optimize the results.


Assuntos
Dióxido de Carbono , Hiperidrose , Humanos , Amarelo de Eosina-(YS)/uso terapêutico , Qualidade de Vida , Hiperidrose/tratamento farmacológico , Lasers , Resultado do Tratamento
5.
Lancet Gastroenterol Hepatol ; 7(7): 658-665, 2022 07.
Artigo em Inglês | MEDLINE | ID: mdl-35489364

RESUMO

Until 2018, Egypt had the highest prevalence of hepatitis C virus (HCV) infection globally, affecting approximately 7% of the population. Despite efforts in diagnosis and treatment since 2006, nearly 2 million individuals with chronic HCV infection had yet to be diagnosed as of early 2018. In December, 2018, a mass HCV screening campaign for adolescents aged 15-18 years was initiated. Among 3 024 325 adolescents screened, the HCV antibody seroprevalence was 11 477 (0·38%), of whom 8187 (78·7%) were HCV RNA-positive. Sustained virological response 12 weeks after completion of treatment (SVR12) was attained by 7327 (99·6%) adolescents with a fixed-dose combination of generic ledipasvir 90 mg plus sofosbuvir 400 mg. Although mass screening in this age group might not be regularly adopted by many health systems and its cost-effectiveness might be lower than the screening of adults and high-risk groups (eg, patients on haemodialysis, people who inject drugs), breaking the chain of transmission in younger populations should lead to a reduction in HCV incidence and complications, and hasten the elimination of the disease.


Assuntos
Hepacivirus , Hepatite C Crônica , Adolescente , Adulto , Antivirais/uso terapêutico , Egito/epidemiologia , Genótipo , Hepacivirus/genética , Hepatite C Crônica/diagnóstico , Hepatite C Crônica/tratamento farmacológico , Hepatite C Crônica/epidemiologia , Humanos , Programas de Rastreamento , Instituições Acadêmicas , Estudos Soroepidemiológicos
6.
Exp Astron (Dordr) ; 51(3): 1677-1694, 2021.
Artigo em Inglês | MEDLINE | ID: mdl-34744306

RESUMO

Recently, the European Commission supported by many European countries has announced large investments towards the commercialization of quantum technology (QT) to address and mitigate some of the biggest challenges facing today's digital era - e.g. secure communication and computing power. For more than two decades the QT community has been working on the development of QTs, which promise landmark breakthroughs leading to commercialization in various areas. The ambitious goals of the QT community and expectations of EU authorities cannot be met solely by individual initiatives of single countries, and therefore, require a combined European effort of large and unprecedented dimensions comparable only to the Galileo or Copernicus programs. Strong international competition calls for a coordinated European effort towards the development of QT in and for space, including research and development of technology in the areas of communication and sensing. Here, we aim at summarizing the state of the art in the development of quantum technologies which have an impact in the field of space applications. Our goal is to outline a complete framework for the design, development, implementation, and exploitation of quantum technology in space.

7.
Health Informatics J ; 27(2): 14604582211009276, 2021.
Artigo em Inglês | MEDLINE | ID: mdl-33913369

RESUMO

Glaucoma is a serious eye disease characterized by dysfunction and loss of retinal ganglion cells (RGCs) which can eventually lead to loss of vision. Robust mass screening may help to extend the symptom-free life for the affected patients. The retinal optic nerve fiber layer can be assessed using optical coherence tomography, scanning laser polarimetry (SLP), and Heidelberg Retina Tomography (HRT) scanning methods which, unfortunately, are expensive methods and hence, a novel automated glaucoma diagnosis system is needed. This paper proposes a new model for mass screening that aims to decrease the false negative rate (FNR). The model is based on applying nine different machine learning techniques in a majority voting model. The top five techniques that provide the highest accuracy will be used to build a consensus ensemble to make the final decision. The results from applying both models on a dataset with 499 records show a decrease in the accuracy rate from 90% to 83% and a decrease in false negative rate (FNR) from 8% to 0% for majority voting and consensus model, respectively. These results indicate that the proposed model can reduce FNR dramatically while maintaining a reasonable overall accuracy which makes it suitable for mass screening.


Assuntos
Glaucoma , Fibras Nervosas , Glaucoma/diagnóstico , Humanos , Polarimetria de Varredura a Laser , Sensibilidade e Especificidade , Testes de Campo Visual
8.
Hum Vaccin Immunother ; 17(8): 2647-2651, 2021 08 03.
Artigo em Inglês | MEDLINE | ID: mdl-33720809

RESUMO

Misinformation and movements against vaccines put public health at risk. This study investigated vaccine awareness and opinions on the anti-vaccination movement among students at three faculties of Eastern Mediterranean University. Data were collected by questionnaire. Exposure to anti-vaccination propaganda increased proportionally with the size of the cities where participants were born. In total, 88.6% of the participants declared that they planned to vaccinate their children, while those who did not cited various reasons including the belief that vaccines do not work, that vaccines are harmful, and that it is better to be infected naturally. 60.6% of participants reported that they would get vaccinated against SARS-CoV-2 if there was an effective vaccine. Meanwhile, 24.5% of participants were not sure whether would get vaccinated even if it were possible, 11.4% of participants stated that they would not vaccinate their children for a variety of reasons. These results are important, especially in the context of a pandemic, because students will become leaders in education, business, and media, and thus shape the thoughts and opinions of future generations. The anti-vaccination movement is building momentum, and is especially influential in big cities; therefore, it is vital to change our approach to informing students about vaccination.


Assuntos
COVID-19 , Vacinas , Estudos Transversais , Chipre , Conhecimentos, Atitudes e Prática em Saúde , Humanos , SARS-CoV-2 , Estudantes , Universidades , Vacinação
9.
Bioorg Chem ; 97: 103657, 2020 04.
Artigo em Inglês | MEDLINE | ID: mdl-32086052

RESUMO

Herin we report the design, synthesis, full characterization and biological investigation of new 15-LOX/COX dual inhibitors based on 1,3-thiazolidin-4-one (15-lipoxygenase pharmacophore) and 1,3,4-thiadiazole (COX pharmacophore) scaffolds. This series of molecular modifications is an extension of a previously reported series to further explore the structural activity relationship. Compounds 3a, 4e, 4n, 4q, 7 and 8 capable of inhibiting 15-LOX at (2.74, 4.2, 3.41, 10.21, 3.71 and 3.36 µM, respectively) and COX-2 at (0.32, 0.28, 0.28, 0.1, 0.28 and 0.27 µM, respectively). The results revealed that binding to 15-LOX and COX is sensitive to the bulkiness of the substituents at the 5 positions. 15-LOX bind better with small substituents, while COXs bind better with bulky substituents. Compounds 3a, 4r and 4q showed comparable in vivo anti-inflammatory activity to the reference drug (celecoxib). The ulcer liability test showed no sign of ulceration which ensures the safe gastric profile. Docking study was performed to explore the possible mode of interaction of the new compounds with the active site of human 15-LOX and COX-2. This study discloses some structural features for binding to 15-LOX and COX, thus pave the way to design anti-inflammatory agents with balanced dual inhibition of these enzymes.


Assuntos
Anti-Inflamatórios/farmacologia , Inibidores de Ciclo-Oxigenase 2/farmacologia , Inibidores de Lipoxigenase/farmacologia , Tiadiazóis/farmacologia , Tiazolidinedionas/farmacologia , Animais , Anti-Inflamatórios/química , Anti-Inflamatórios/uso terapêutico , Araquidonato 15-Lipoxigenase/metabolismo , Ciclo-Oxigenase 2/metabolismo , Inibidores de Ciclo-Oxigenase 2/química , Inibidores de Ciclo-Oxigenase 2/uso terapêutico , Humanos , Inflamação/tratamento farmacológico , Inflamação/metabolismo , Inibidores de Lipoxigenase/química , Inibidores de Lipoxigenase/uso terapêutico , Masculino , Simulação de Acoplamento Molecular , Ratos , Tiadiazóis/química , Tiadiazóis/uso terapêutico , Tiazolidinedionas/química , Tiazolidinedionas/uso terapêutico
10.
Neural Netw ; 122: 273-278, 2020 Feb.
Artigo em Inglês | MEDLINE | ID: mdl-31731044

RESUMO

Memristors, resistors with memory whose outputs depend on the history of their inputs, have been used with success in neuromorphic architectures, particularly as synapses and non-volatile memories. However, to the best of our knowledge, no model for a network in which both the synapses and the neurons are implemented using memristors has been proposed so far. In the present work we introduce models for single and multilayer perceptrons based exclusively on memristors. We adapt the delta rule to the memristor-based single-layer perceptron and the backpropagation algorithm to the memristor-based multilayer perceptron. Our results show that both perform as expected for perceptrons, including satisfying Minsky-Papert's theorem. As a consequence of the Universal Approximation Theorem, they also show that memristors are universal function approximators. By using memristors for both the neurons and the synapses, our models pave the way for novel memristor-based neural network architectures and algorithms. A neural network based on memristors could show advantages in terms of energy conservation and open up possibilities for other learning systems to be adapted to a memristor-based paradigm, both in the classical and quantum learning realms.


Assuntos
Redes Neurais de Computação , Neurônios , Sinapses , Algoritmos
11.
Phys Rev Lett ; 123(2): 020601, 2019 Jul 12.
Artigo em Inglês | MEDLINE | ID: mdl-31386501

RESUMO

The transport of a particle in the presence of a potential that changes periodically in space and in time can be characterized by the amount of work needed to shift a particle by a single spatial period of the potential. In general, this amount of work, when averaged over a single temporal period of the potential, can take any value in a continuous fashion. Here, we present a topological effect inducing the quantization of the average work. We find that this work is equal to the first Chern number calculated in a unit cell of a space-time lattice. Hence, this quantization of the average work is topologically protected. We illustrate this phenomenon with the example of an atom whose center of mass motion is coupled to its internal degrees of freedom by electromagnetic waves.

12.
Bioorg Chem ; 80: 461-471, 2018 10.
Artigo em Inglês | MEDLINE | ID: mdl-29986191

RESUMO

Selective inhibition of both cyclooxygenase-2 (COX-2) and 15-lipooxygenase (15-LOX) may provide good strategy for alleviation of inflammatory disorders while minimizing side effects associated with current anti-inflammatory drugs. The present study describes the synthesis, full characterization and biological evaluation of a series of thiadiazole-thiazolidinone hybrids bearing 5-alk/arylidene as dual inhibitors of these enzymes. Our design was based on merging pharmacophores that exhibit portent anti-inflammatory activities in one molecular frame. 5-(4-hydroxyphenyl)-1,3,4-thiadiazol-2-amine (3) was efficiently synthesized, chloroacetylated and cyclized to give the key 4-thiazolidinone (5). Knovenagel condensation of 5 with different aldehydes afforded the final compounds 6a-m, 7, 8 and 9. These compounds were subjected to in vitro COX-1/COX-2, 15-LOX inhibition assays. Compounds (6a, 6f, 6i, 6l, 6m and 9) with promising potency (IC50 = 70-100 nM) and selectivity index (SI = 220-55) were further tested for in vivo anti-inflammatory activity and effect on gastric mucosa. The most promising compound (6l) inhibits COX-2 enzyme at a nanomolar concentration (IC50 = 70 nM, SI = 220) with simultaneous inhibition of 15-LOX (IC50 = 11 µM). These results are comparable to the potency and selectivity of the standard drugs of both enzymes; celecoxib (COX-2 IC50 = 49 nM, SI = 308) and zileuton (15-LOX IC50 = 15 µM) in one construct. Interestingly three compounds (6a, 6l and 9) exhibited equivalent to or even higher than that of celecoxib in vivo anti-inflammatory activity at 3 h interval with good GIT safety profile. Molecular docking study conferred binding sites of these compounds on COX-2 and 15-LOX. Such type of compounds would represent valuable leads for further investigation and derivatization.


Assuntos
Inibidores de Ciclo-Oxigenase 2/química , Inibidores de Ciclo-Oxigenase 2/farmacologia , Inibidores de Lipoxigenase/química , Inibidores de Lipoxigenase/farmacologia , Tiazolidinas/química , Tiazolidinas/farmacologia , Animais , Anti-Inflamatórios/síntese química , Anti-Inflamatórios/química , Anti-Inflamatórios/farmacologia , Anti-Inflamatórios/uso terapêutico , Araquidonato 15-Lipoxigenase/metabolismo , Ciclo-Oxigenase 2/metabolismo , Inibidores de Ciclo-Oxigenase 2/síntese química , Inibidores de Ciclo-Oxigenase 2/uso terapêutico , Edema/tratamento farmacológico , Edema/metabolismo , Humanos , Inibidores de Lipoxigenase/síntese química , Inibidores de Lipoxigenase/uso terapêutico , Masculino , Simulação de Acoplamento Molecular , Ratos , Tiadiazóis/síntese química , Tiadiazóis/química , Tiadiazóis/farmacologia , Tiadiazóis/uso terapêutico , Tiazolidinas/síntese química , Tiazolidinas/uso terapêutico
13.
Phys Rev Lett ; 119(22): 220503, 2017 Dec 01.
Artigo em Inglês | MEDLINE | ID: mdl-29286791

RESUMO

To investigate the performance of quantum information tasks on networks whose topology changes in time, we study the spatial search algorithm by continuous time quantum walk to find a marked node on a random temporal network. We consider a network of n nodes constituted by a time-ordered sequence of Erdös-Rényi random graphs G(n,p), where p is the probability that any two given nodes are connected: After every time interval τ, a new graph G(n,p) replaces the previous one. We prove analytically that, for any given p, there is always a range of values of τ for which the running time of the algorithm is optimal, i.e., O(sqrt[n]), even when search on the individual static graphs constituting the temporal network is suboptimal. On the other hand, there are regimes of τ where the algorithm is suboptimal even when each of the underlying static graphs are sufficiently connected to perform optimal search on them. From this first study of quantum spatial search on a time-dependent network, it emerges that the nontrivial interplay between temporality and connectivity is key to the algorithmic performance. Moreover, our work can be extended to establish high-fidelity qubit transfer between any two nodes of the network. Overall, our findings show that one can exploit temporality to achieve optimal quantum information tasks on dynamical random networks.


Assuntos
Serviços de Informação , Modelos Teóricos , Teoria Quântica , Algoritmos
14.
Phys Biol ; 14(6): 066001, 2017 11 16.
Artigo em Inglês | MEDLINE | ID: mdl-28976354

RESUMO

In this paper, we work out a parameterization of environmental noise within the Haken-Strobl-Reinenker (HSR) model for the PE545 light-harvesting complex, based on atomic-level quantum mechanics/molecular mechanics (QM/MM) simulations. We use this approach to investigate the role of various auto- and cross-correlations in the HSR noise tensor, confirming that site-energy autocorrelations (pure dephasing) terms dominate the noise-induced exciton mobility enhancement, followed by site energy-coupling cross-correlations for specific triplets of pigments. Interestingly, several cross-correlations of the latter kind, together with coupling-coupling cross-correlations, display clear low-frequency signatures in their spectral densities in the 30-70 [Formula: see text] region. These slow components lie at the limits of validity of the HSR approach, which requires that environmental fluctuations be faster than typical exciton transfer time scales. We show that a simple coarse-grained elastic-network-model (ENM) analysis of the PE545 protein naturally spotlights collective normal modes in this frequency range that represent specific concerted motions of the subnetwork of cysteines covalenty linked to the pigments. This analysis strongly suggests that protein scaffolds in light-harvesting complexes are able to express specific collective, low-frequency normal modes providing a fold-rooted blueprint of exciton transport pathways. We speculate that ENM-based mixed quantum classical methods, such as Ehrenfest dynamics, might be promising tools to disentangle the fundamental designing principles of these dynamical processes in natural and artificial light-harvesting structures.


Assuntos
Complexos de Proteínas Captadores de Luz/química , Pigmentos Biológicos/química , Complexos de Proteínas Captadores de Luz/metabolismo , Simulação de Dinâmica Molecular , Teoria Quântica
15.
Phys Rev E ; 95(2-1): 022135, 2017 Feb.
Artigo em Inglês | MEDLINE | ID: mdl-28297986

RESUMO

We propose a quantum thermal machine composed of two nanomechanical resonators (two membranes suspended over a trench in a substrate) placed a few µm from each other. The quantum thermodynamical cycle is powered by the Casimir interaction between the resonators and the working fluid is the polariton resulting from the mixture of the flexural (out-of-plane) vibrations. With the help of piezoelectric cells, we select and sweep the polariton frequency cyclically. We calculate the performance of the proposed quantum thermal machines and show that high efficiencies are achieved thanks to (i) the strong coupling between the resonators and (ii) the large difference between the membrane stiffnesses. Our findings can be of particular importance for applications in nanomechanical technologies where a sensitive control of temperature is needed.

16.
J Crit Care ; 38: 284-288, 2017 04.
Artigo em Inglês | MEDLINE | ID: mdl-28013094

RESUMO

PURPOSE: Understanding the underlying cause of mortality in sepsis has broad implications for both clinical care and interventional trial design. However, reasons for death in sepsis remain poorly understood. We sought to characterize reasons for in-hospital mortality in a population of patients with sepsis or septic shock. MATERIALS AND METHODS: We performed a retrospective review of patients admitted to the intensive care unit with sepsis or septic shock who died during their index admission. Reasons for death were classified into 6 categories determined a priori by group consensus. Interrater reliability was calculated and Fleiss κ reported. The associations between selected patient characteristics (eg, serum lactate) and reason for death were also assessed. RESULTS: One hundred fifteen patients were included. Refractory shock (40%) and comorbid withdrawal of care (44%) were the most common reasons for death. Overall interrater agreement was substantial (κ = 0.61, P<.01). Lactate was higher in patients who died because of refractory shock as compared with those who died for other reasons (4.7 vs 2.8 mmol/L, P<.01). CONCLUSION: In this retrospective cohort, refractory shock and comorbid withdrawal of care were the most common reasons for death. Following prospective validation, the classification methodology presented here may be useful in the design/interpretation of trials in sepsis.


Assuntos
Causas de Morte , Morte Súbita Cardíaca , Hipóxia/mortalidade , Choque Séptico/mortalidade , Suspensão de Tratamento , Idoso , Idoso de 80 Anos ou mais , Estudos de Coortes , Consenso , Feminino , Mortalidade Hospitalar , Humanos , Unidades de Terapia Intensiva , Ácido Láctico/sangue , Masculino , Pessoa de Meia-Idade , Reprodutibilidade dos Testes , Estudos Retrospectivos , Sepse/sangue , Sepse/mortalidade , Choque Séptico/sangue
17.
Phys Rev Lett ; 116(24): 249901, 2016 Jun 17.
Artigo em Inglês | MEDLINE | ID: mdl-27367413

RESUMO

This corrects the article DOI: 10.1103/PhysRevLett.116.100501.

18.
Phys Rev Lett ; 116(10): 100501, 2016 Mar 11.
Artigo em Inglês | MEDLINE | ID: mdl-27015464

RESUMO

The problem of finding a marked node in a graph can be solved by the spatial search algorithm based on continuous-time quantum walks (CTQW). However, this algorithm is known to run in optimal time only for a handful of graphs. In this work, we prove that for Erdös-Renyi random graphs, i.e., graphs of n vertices where each edge exists with probability p, search by CTQW is almost surely optimal as long as p≥log^{3/2}(n)/n. Consequently, we show that quantum spatial search is in fact optimal for almost all graphs, meaning that the fraction of graphs of n vertices for which this optimality holds tends to one in the asymptotic limit. We obtain this result by proving that search is optimal on graphs where the ratio between the second largest and the largest eigenvalue is bounded by a constant smaller than 1. Finally, we show that we can extend our results on search to establish high fidelity quantum communication between two arbitrary nodes of a random network of interacting qubits, namely, to perform quantum state transfer, as well as entanglement generation. Our work shows that quantum information tasks typically designed for structured systems retain performance in very disordered structures.

19.
Sci Rep ; 6: 18142, 2016 Jan 04.
Artigo em Inglês | MEDLINE | ID: mdl-26726133

RESUMO

We investigate quantum transport in binary tree structures and in hypercubes for the disordered Frenkel-exciton Hamiltonian under pure dephasing noise. We compute the energy transport efficiency as a function of disorder and dephasing rates. We demonstrate that dephasing improves transport efficiency not only in the disordered case, but also in the ordered one. The maximal transport efficiency is obtained when the dephasing timescale matches the hopping timescale, which represent new examples of the Goldilocks principle at the quantum scale. Remarkably, we find that in weak dephasing regimes, away from optimal levels of environmental fluctuations, the average effect of increasing disorder is to improve the transport efficiency until an optimal value for disorder is reached. Our results suggest that rational design of the site energies statistical distributions could lead to better performances in transport systems at nanoscale when their natural environments are far from the optimal dephasing regime.

20.
Sci Rep ; 5: 13304, 2015 Sep 02.
Artigo em Inglês | MEDLINE | ID: mdl-26330082

RESUMO

Continuous time quantum walks provide an important framework for designing new algorithms and modelling quantum transport and state transfer problems. Often, the graph representing the structure of a problem contains certain symmetries that confine the dynamics to a smaller subspace of the full Hilbert space. In this work, we use invariant subspace methods, that can be computed systematically using the Lanczos algorithm, to obtain the reduced set of states that encompass the dynamics of the problem at hand without the specific knowledge of underlying symmetries. First, we apply this method to obtain new instances of graphs where the spatial quantum search algorithm is optimal: complete graphs with broken links and complete bipartite graphs, in particular, the star graph. These examples show that regularity and high-connectivity are not needed to achieve optimal spatial search. We also show that this method considerably simplifies the calculation of quantum transport efficiencies. Furthermore, we observe improved efficiencies by removing a few links from highly symmetric graphs. Finally, we show that this reduction method also allows us to obtain an upper bound for the fidelity of a single qubit transfer on an XY spin network.

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