Stochastic optimization on complex variables and pure-state quantum tomography.

Abstract:

:Real-valued functions of complex arguments violate the Cauchy-Riemann conditions and, consequently, do not have Taylor series expansion. Therefore, optimization methods based on derivatives cannot be directly applied to this class of functions. This is circumvented by mapping the problem to the field of the real numbers by considering real and imaginary parts of the complex arguments as the new independent variables. We introduce a stochastic optimization method that works within the field of the complex numbers. This has two advantages: Equations on complex arguments are simpler and easy to analyze and the use of the complex structure leads to performance improvements. The method produces a sequence of estimates that converges asymptotically in mean to the optimizer. Each estimate is generated by evaluating the target function at two different randomly chosen points. Thereby, the method allows the optimization of functions with unknown parameters. Furthermore, the method exhibits a large performance enhancement. This is demonstrated by comparing its performance with other algorithms in the case of quantum tomography of pure states. The method provides solutions which can be two orders of magnitude closer to the true minima or achieve similar results as other methods but with three orders of magnitude less resources.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Utreras-Alarcón A,Rivera-Tapia M,Niklitschek S,Delgado A

doi

10.1038/s41598-019-52289-0

subject

Has Abstract

pub_date

2019-11-06 00:00:00

pages

16143

issue

1

issn

2045-2322

pii

10.1038/s41598-019-52289-0

journal_volume

9

pub_type

杂志文章
  • Towards Quantification of Inflammation in Atherosclerotic Plaque in the Clinic - Characterization and Optimization of Fluorine-19 MRI in Mice at 3 T.

    abstract::Fluorine-19 (19F) magnetic resonance imaging (MRI) of injected perfluorocarbons (PFCs) can be used for the quantification and monitoring of inflammation in diseases such as atherosclerosis. To advance the translation of this technique to the clinical setting, we aimed to 1) demonstrate the feasibility of quantitative ...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-019-53905-9

    authors: Darçot E,Colotti R,Pellegrin M,Wilson A,Siegert S,Bouzourene K,Yerly J,Mazzolai L,Stuber M,van Heeswijk RB

    更新日期:2019-11-25 00:00:00

  • Meta-analysis of the prevalence of anxiety disorders in mainland China from 2000 to 2015.

    abstract::Although anxiety disorders (ADs) have been recognized as one of the most prevalent mental disorders in mainland China, the prevalence of ADs has not been reported until now. The lack of a consolidated and comparable review on the prevalence of ADs in mainland China necessitated this meta-analysis to measure the preval...

    journal_title:Scientific reports

    pub_type: 杂志文章,meta分析

    doi:10.1038/srep28033

    authors: Guo X,Meng Z,Huang G,Fan J,Zhou W,Ling W,Jiang J,Long J,Su L

    更新日期:2016-06-16 00:00:00

  • Developmental Validation of the Huaxia Platinum System and application in 3 main ethnic groups of China.

    abstract::STRs, scattered throughout the genome with higher mutation rate, are attractive to genetic application like forensic, anthropological and population genetics studies. STR profiling has now been applied in various aspects of human identification in forensic investigations. This work described the developmental validati...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/srep31075

    authors: Wang Z,Zhou D,Jia Z,Li L,Wu W,Li C,Hou Y

    更新日期:2016-08-08 00:00:00

  • Human Defensin-5 Blocks Ethanol and Colitis-Induced Dysbiosis, Tight Junction Disruption and Inflammation in Mouse Intestine.

    abstract::Alcohol consumption has been shown to cause dysbiosis, but the mechanism involved in it is unknown. Recurrent colitis is known to induce expression of α-defensins in the colon, but the effect of alcohol consumption on it is not known. We investigated the effect of ethanol on α-defensin expression in the small intestin...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-018-34263-4

    authors: Shukla PK,Meena AS,Rao V,Rao RG,Balazs L,Rao R

    更新日期:2018-11-02 00:00:00

  • Phosphatidylinositol-3-phosphate is light-regulated and essential for survival in retinal rods.

    abstract::Phosphoinositides play important roles in numerous intracellular membrane pathways. Little is known about the regulation or function of these lipids in rod photoreceptor cells, which have highly active membrane dynamics. Using new assays with femtomole sensitivity, we determined that whereas levels of phosphatidylinos...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/srep26978

    authors: He F,Agosto MA,Anastassov IA,Tse DY,Wu SM,Wensel TG

    更新日期:2016-06-01 00:00:00

  • Inhibitory effect of toothbrush monofilament containing surface pre-reacted glass-ionomer (S-PRG) filler on Streptococcus mutans.

    abstract::The oral environment affects not only oral health, but also general health, and the importance of oral self-care has recently been recognised. Although toothbrushes are the most important self-care product, there are few toothbrushes that have an inhibitory effect on oral bacteria. In the present study, monofilaments ...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-020-80646-x

    authors: Matayoshi S,Nomura R,Kitamura T,Okawa R,Nakano K

    更新日期:2021-01-08 00:00:00

  • Shape analysis of the basioccipital bone in Pax7-deficient mice.

    abstract::We compared the cranial base of newborn Pax7-deficient and wildtype mice using a computational shape modeling technology called particle-based modeling (PBM). We found systematic differences in the morphology of the basiooccipital bone, including a broadening of the basioccipital bone and an antero-inferior inflection...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-017-18199-9

    authors: Cates J,Nevell L,Prajapati SI,Nelon LD,Chang JY,Randolph ME,Wood B,Keller C,Whitaker RT

    更新日期:2017-12-20 00:00:00

  • ME1 promotes basal-like breast cancer progression and associates with poor prognosis.

    abstract::Basal-like breast cancer (BLBC) is associated with a poor clinical outcome due to the few treatment options and absence of effective targeted agents. Here, we show that malic enzyme 1 (ME1) is dramatically upregulated in BLBC due to ME1 copy number amplification. ME1 expression increases glucose uptake and lactate pro...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-018-35106-y

    authors: Liao R,Ren G,Liu H,Chen X,Cao Q,Wu X,Li J,Dong C

    更新日期:2018-11-13 00:00:00

  • Vascular Remodelling Relates to an Elevated Oscillatory Shear Index and Relative Residence Time in Spontaneously Hypertensive Rats.

    abstract::Haemodynamic disorders are common clinical findings in hypertension and lead to adverse cardiovascular events. However, the haemodynamic conditions in hypertension models are poorly understood. This study aimed to observe the characteristics of haemodynamics in spontaneously hypertensive rats (SHRs) and antihypertensi...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-017-01906-x

    authors: Chen Z,Yu H,Shi Y,Zhu M,Wang Y,Hu X,Zhang Y,Chang Y,Xu M,Gao W

    更新日期:2017-05-17 00:00:00

  • Functional interactors of three genome-wide association study genes are differentially expressed in severe chronic obstructive pulmonary disease lung tissue.

    abstract::In comparison to genome-wide association studies (GWAS), there has been poor replication of gene expression studies in chronic obstructive pulmonary disease (COPD). We performed microarray gene expression profiling on a large sample of resected lung tissues from subjects with severe COPD. Comparing 111 COPD cases and ...

    journal_title:Scientific reports

    pub_type: 临床试验,杂志文章,多中心研究

    doi:10.1038/srep44232

    authors: Morrow JD,Zhou X,Lao T,Jiang Z,DeMeo DL,Cho MH,Qiu W,Cloonan S,Pinto-Plata V,Celli B,Marchetti N,Criner GJ,Bueno R,Washko GR,Glass K,Quackenbush J,Choi AM,Silverman EK,Hersh CP

    更新日期:2017-03-13 00:00:00

  • PLD1 participates in BDNF-induced signalling in cortical neurons.

    abstract::The brain-derived neurotrophic factor BDNF plays a critical role in neuronal development and the induction of L-LTP at glutamatergic synapses in several brain regions. However, the cellular and molecular mechanisms underlying these BDNF effects have not been firmly established. Using in vitro cultures of cortical neur...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/srep14778

    authors: Ammar MR,Thahouly T,Hanauer A,Stegner D,Nieswandt B,Vitale N

    更新日期:2015-10-06 00:00:00

  • Seabird distribution patterns observed with fishing vessel's radar reveal previously undescribed sub-meso-scale clusters.

    abstract::Seabirds are known to concentrate on prey patches or at predators aggregations standing for potential feeding opportunities. They may search for prey using olfaction or by detecting visually feeding con-specifics and sub-surface predators, or even boats. Thus, they might form a foraging network. We hypothesized that c...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-017-07480-6

    authors: Assali C,Bez N,Tremblay Y

    更新日期:2017-08-04 00:00:00

  • Independently tunable electromagnetically induced transparency effect and dispersion in a multi-band terahertz metamaterial.

    abstract::In this article, we experimentally and numerically investigate a planar terahertz metamaterial (MM) geometry capable of exhibiting independently tunable multi-band electromagnetically induced transparency effect (EIT). The MM structure exhibits multi-band EIT effect due to the strong near field coupling between the br...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-019-54414-5

    authors: Sarkar R,Ghindani D,Devi KM,Prabhu SS,Ahmad A,Kumar G

    更新日期:2019-12-02 00:00:00

  • Age, primary symptoms, and genotype characteristics of norovirus outbreaks in Shanghai schools in 2017.

    abstract::Sixty norovirus outbreaks that occurred in Pudong District, Shanghai in 2017 and affected 959 people were summarised. Of the outbreaks, 29 (48.3%), 27 (45.0%), and 4 (6.7%) occurred in kindergartens, primary schools, and middle schools, respectively. Although the total number of outbreaks peaked in March (13/60, 21.7%...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-018-33724-0

    authors: Wang Y,Hao L,Pan L,Xue C,Liu Q,Zhao X,Zhu W

    更新日期:2018-10-15 00:00:00

  • Host circadian rhythms are disrupted during malaria infection in parasite genotype-specific manners.

    abstract::Infection can dramatically alter behavioural and physiological traits as hosts become sick and subsequently return to health. Such "sickness behaviours" include disrupted circadian rhythms in both locomotor activity and body temperature. Host sickness behaviours vary in pathogen species-specific manners but the influe...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-019-47191-8

    authors: Prior KF,O'Donnell AJ,Rund SSC,Savill NJ,van der Veen DR,Reece SE

    更新日期:2019-07-29 00:00:00

  • A Highly Potent and Broadly Neutralizing H1 Influenza-Specific Human Monoclonal Antibody.

    abstract::Influenza's propensity for antigenic drift and shift, and to elicit predominantly strain specific antibodies (Abs) leaves humanity susceptible to waves of new strains with pandemic potential for which limited or no immunity may exist. Subsequently new clinical interventions are needed. To identify hemagglutinin (HA) e...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-018-22307-8

    authors: Nogales A,Piepenbrink MS,Wang J,Ortega S,Basu M,Fucile CF,Treanor JJ,Rosenberg AF,Zand MS,Keefer MC,Martinez-Sobrido L,Kobie JJ

    更新日期:2018-03-12 00:00:00

  • Structural dynamics of Populus euphratica forests in different stages in the upper reaches of the Tarim River in China.

    abstract::We selected four Populus euphratica Oliv. forest plots (100 m × 100 m) in the upper reaches of the Tarim River in the Xinjiang Uygur Autonomous Region of China. Each of the four forest plots was chosen to represent a different growth and death stage of P. euphratica forest: juvenile forest, mature forest, dying forest...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-020-60139-7

    authors: Miao N,Jiao P,Tao W,Li M,Li Z,Hu B,Moermond TC

    更新日期:2020-02-21 00:00:00

  • Assessment of the energy recovery potential of waste Photovoltaic (PV) modules.

    abstract::Global exponential increase in levels of Photovoltaic (PV) module waste is an increasing concern. The purpose of this study is to investigate if there is energy value in the polymers contained within first-generation crystalline silicon (c-Si) PV modules to help contribute positively to recycling rates and the circula...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-019-41762-5

    authors: Farrell C,Osman AI,Zhang X,Murphy A,Doherty R,Morgan K,Rooney DW,Harrison J,Coulter R,Shen D

    更新日期:2019-03-27 00:00:00

  • Predicting clinical decline and conversion to Alzheimer's disease or dementia using novel Elecsys Aβ(1-42), pTau and tTau CSF immunoassays.

    abstract::We evaluated the performance of CSF biomarkers for predicting risk of clinical decline and conversion to dementia in non-demented patients with cognitive symptoms. CSF samples from patients in two multicentre longitudinal studies (ADNI, n = 619; BioFINDER, n = 431) were analysed. Aβ(1-42), tTau and pTau CSF concentrat...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-019-54204-z

    authors: Blennow K,Shaw LM,Stomrud E,Mattsson N,Toledo JB,Buck K,Wahl S,Eichenlaub U,Lifke V,Simon M,Trojanowski JQ,Hansson O

    更新日期:2019-12-13 00:00:00

  • W-box and G-box elements play important roles in early senescence of rice flag leaf.

    abstract::Plant cis-elements play important roles in global regulation of gene expression. Based on microarray data from rice flag leaves during early senescence, we identified W-box and G-box cis-elements as positive regulators of senescence in the important rice variety Minghui 63. Both cis-elements were bound by leaf senesce...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/srep20881

    authors: Liu L,Xu W,Hu X,Liu H,Lin Y

    更新日期:2016-02-11 00:00:00

  • Iron acquisition in Pseudomonas aeruginosa by the siderophore pyoverdine: an intricate interacting network including periplasmic and membrane proteins.

    abstract::Pyoverdine (PVDI) has been reported to act both as a siderophore for scavenging iron (a key nutrient) and a signaling molecule for the expression of virulence factors. This compound is itself part of a core set of virulence factors produced by Pseudomonas aeruginosa during infections. Once secreted into the bacterial ...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-019-56913-x

    authors: Bonneau A,Roche B,Schalk IJ

    更新日期:2020-01-10 00:00:00

  • Y-box protein-associated acidic protein (YBAP1/C1QBP) affects the localization and cytoplasmic functions of YB-1.

    abstract::The Y-box proteins are multifunctional nucleic acid-binding proteins involved in various aspects of gene regulation. The founding member of the Y-box protein family, YB-1, functions as a transcription factor as well as a principal component of messenger ribonucleoprotein particles (mRNPs) in somatic cells. The nuclear...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-018-24401-3

    authors: Matsumoto K,Kose S,Kuwahara I,Yoshimura M,Imamoto N,Yoshida M

    更新日期:2018-04-18 00:00:00

  • A longitudinal study of semen quality among Chinese sperm donor candidates during the past 11 years.

    abstract::Studies suggest that semen quality is declining globally, however, the debate remains open due to the possible effects of ethnic and geographical differences. This study aimed to explore whether semen quality of sperm donor candidates has changed in Henan Province, China from 2009 to 2019. In this retrospective study,...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-020-67707-x

    authors: Liu J,Dai Y,Li Y,Yuan E,Wang Q,Wang X,Guan Y

    更新日期:2020-07-01 00:00:00

  • High prevalence of ventricular repolarization abnormalities in people carrying TGFβR2 mutations.

    abstract::Mutations in the TGFβR2 gene have been associated with a life threatening risk of aortic dissection but no arrhythmic death has been previously reported. Two young females carrying a TGFβR2 mutation, initially diagnosed as Marfan syndrome or Loeys Dietz syndrome, presented sudden death with autopsy ruling out dissecti...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-018-31298-5

    authors: Extramiana F,Milleron O,Elbitar S,Uccellini A,Langeois M,Spentchian M,Delorme G,Arnoult F,Denjoy I,Bouleti C,Fressart V,Iserin F,Maison-Blanche P,Abifadel M,Leenhardt A,Boileau C,Jondeau G

    更新日期:2018-08-29 00:00:00

  • A Metabolomics Pilot Study on Desmoid Tumors and Novel Drug Candidates.

    abstract::Desmoid tumors (aggressive fibromatosis) are locally invasive soft tissue tumors that lack the ability to metastasize. There are no directed therapies or standard treatment plan, and chemotherapeutics, radiation, and surgery often have temporary effects. The majority of desmoid tumors are related to T41A and S45F muta...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-017-18921-7

    authors: Mercier KA,Al-Jazrawe M,Poon R,Acuff Z,Alman B

    更新日期:2018-01-12 00:00:00

  • Increasing mechanical strength of gelatin hydrogels by divalent metal ion removal.

    abstract::The usage of gelatin hydrogel is limited due to its instability and poor mechanical properties, especially under physiological conditions. Divalent metal ions present in gelatin such as Ca(2+) and Fe(2+) play important roles in the gelatin molecule interactions. The objective of this study was to determine the impact ...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/srep04706

    authors: Xing Q,Yates K,Vogt C,Qian Z,Frost MC,Zhao F

    更新日期:2014-04-16 00:00:00

  • The possibility to make choices modulates feature-based effects of reward.

    abstract::When making decisions, humans can maximize the positive outcome of their actions by choosing the option associated with the highest reward. We have recently shown that choices modulate effects of reward via a bias in spatial attention: Locations associated with a lower reward are anticipatorily suppressed, as indicate...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-019-42255-1

    authors: Heuer A,Wolf C,Schütz AC,Schubö A

    更新日期:2019-04-08 00:00:00

  • Loss of NMDA receptors in dopamine neurons leads to the development of affective disorder-like symptoms in mice.

    abstract::The role of changes in dopamine neuronal activity during the development of symptoms in affective disorders remains controversial. Here, we show that inactivation of NMDA receptors on dopaminergic neurons in adult mice led to the development of affective disorder-like symptoms. The loss of NMDA receptors altered activ...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/srep37171

    authors: Jastrzębska K,Walczak M,Cieślak PE,Szumiec Ł,Turbasa M,Engblom D,Błasiak T,Parkitna JR

    更新日期:2016-11-17 00:00:00

  • First molecular examination of Vietnamese mudflat snails in the genus Naranjia Golding, Ponder & Byrne, 2007 (Gastropoda: Amphibolidae).

    abstract::Maritime ecosystems in Vietnam such as mangroves and mud flats are characterized by high biodiversity. However, elements of its biodiversity remain unclear and highly threatened. In this context, the assessment of rare species is a starting point to develop effective strategies for the conservation of entire ecosystem...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-020-75200-8

    authors: Saito T,Prozorova L,Quang NX,Chiba S

    更新日期:2020-10-30 00:00:00

  • A new mass spectrometry-based method for the quantification of histones in plasma from septic shock patients.

    abstract::The aim of this study was to develop a novel method to detect circulating histones H3 and H2B in plasma based on multiple reaction monitoring targeted mass spectrometry and a multiple reaction monitoring approach (MRM-MS) for its clinical application in critical bacteriaemic septic shock patients. Plasma samples from ...

    journal_title:Scientific reports

    pub_type: 杂志文章

    doi:10.1038/s41598-017-10830-z

    authors: García-Giménez JL,Romá-Mateo C,Carbonell N,Palacios L,Peiró-Chova L,García-López E,García-Simón M,Lahuerta R,Gimenez-Garzó C,Berenguer-Pascual E,Mora MI,Valero ML,Alpízar A,Corrales FJ,Blanquer J,Pallardó FV

    更新日期:2017-09-06 00:00:00