Subjects -> SCIENCES: COMPREHENSIVE WORKS (Total: 374 journals)
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 Journal of the Indian Institute of ScienceJournal Prestige (SJR): 0.212 Citation Impact (citeScore): 1Number of Followers: 4      Hybrid journal (It can contain Open Access articles) ISSN (Print) 0970-4140 - ISSN (Online) 0019-4964 Published by Springer-Verlag  [2467 journals]
• Editor’s Desk

PubDate: 2022-11-23

• Correction to: Guest Editorial

PubDate: 2022-11-17

• “Comment on the Shigemasu’s article - Sage Statisticians in Social
Sciences: Impact of Rubin’s Work”

PubDate: 2022-11-17

• The Duflo–Serganova Functor, Vingt Ans Après

Abstract: Abstract We review old and new results concerning the $$DS$$ functor and associated varieties for Lie superalgebras. These notions were introduced in the unpublished manuscript (Duflo and Serganova in On associated variety for Lie super-algebras, 2005) by Michel Duflo and the third author. This paper includes the results and proofs of the original manuscript, as well as a survey of more recent results.
PubDate: 2022-11-14

• Select Topics in Open Quantum Systems

Abstract: Abstract The design of realistic quantum technologies relies intricately on the understanding of open quantum systems. Such open systems are often studied as an input–output theory, where time is often not explicitly parameterized. Such maps have a rich structure that has been elucidated by several authors over the years. In contrast to this, the master equation approach is a dynamical description where the infinitesimal evolution of the quantum system is studied. These two descriptions are related to each other when the underlying maps are parametrized in time or equivalently when the system dynamics is integrated for finite time. In this overview, we will briefly discuss some established results in this field alongside commenting on some recent results relating to deriving the transient and steady state dynamics of open quantum systems. We discuss structure of CP maps, review canonical forms of $$\mathcal {A}$$ and $$\mathcal {B}$$ maps and highlight their relationship to Lindblad equations. We review properties of Liouville superoperators and highlight some stable numerical methods to find steady states. We conclude the overview with a summary of results relating Zeno dynamics and the open systems approach to driven system engineering.
PubDate: 2022-10-28

• Development of Some Selected Stochastic Models of Human Fertility in
India: The Untold Stories

Abstract: Abstract Modeling of any phenomenon requires the knowledge of the subject and the mathematical skill that is required to express the phenomenon in the form of mathematical relationship(s). In the process of model building, the researcher(s) experience several failures and learnings before getting the final model. While large number of final models are developed and published, learnings of model development are seldom documented. Hence, there is a need to bring such articles which could present the learning of model development. Under this premise, the author which has experience of developing stochastic models of human reproduction aims, in this article, to narrate those learnings which he had encountered in the development of large number of models. Since detailed descriptions of those models are already available in publications, the article would skips detail derivations of those models but to provide learnings of the development of the models.
PubDate: 2022-10-26

• Randomness and Uncertainty Are Central in Most Walks of Life

PubDate: 2022-10-25

• Guest Editorial

PubDate: 2022-10-21

• A Review of Developments in Superconducting Quantum Processors

Abstract: Abstract Superconducting qubits are currently the leading platform for quantum computing and quantum information processing in general. Over the last decade, there have been rapid developments in the performance of small-scale quantum processors based on superconducting qubits, showing promise for a practical quantum processor in the coming years. These developments have taken place in terms of control and measurement techniques, connectivity, qubit architecture, and coherence performance. It has been led by novel design strategies, improvements in materials and fabrication processes, as well as advances in peripheral control electronics. In this article, we present a review of the various superconducting qubit devices, their coupling schemes, performance, and developments on the materials front.
PubDate: 2022-10-17

• A Decade of Advancement of Quantum Sensing and Metrology in India Using
Cold Atoms and Ions

Abstract: Abstract Ultracold atoms and ions provide novel test-beds for quantum sensing and metrology. Technological advancement towards the construction of ultrastable and narrow linewidth lasers, optical frequency combs, and microwave electronics made it possible to realize atom interferometers with state of the art sensitivity and the most accurate clocks in the world based on long-lived quantum states of atoms and ions. Such systems have been utilized in applications starting from geodesy and navigation to the measurement and redefinition of fundamental constants. The field awaits a more enriched future in addition to the proposed applications of such systems in improving the Global Positioning System, secured communications, and exploring mineral and underground water resources. Here, we briefly report on the initiatives and current status of India in this research field in view of the global progress.
PubDate: 2022-10-11

• Sage Statisticians in Social Sciences: Impact of Rubin’s Work

Abstract: Abstract Contemporary social scientists have cast serious doubts over traditional statistical testing procedures and questioned the reproducibility of the findings. The Bayesian approach provides sound statistical tools to draw inferences about unknown parameters and potential outcomes in a methodical way. This paper reviews D. B. Rubin’s work from the orthodox Bayesian viewpoint and discusses how his brilliant ideas and suggestions should be applied when social scientists deal with real data. The discussion focuses on making inferences about causal relationships and handling missing data. It is argued that social scientists who are confident about both the Bayesian coherent system and the necessitated effective software for numerical solutions can build relevant statistical models and derive relevant information from the Bayesian analysis of real data. This paper specifically explains how to deal with the data, using examples from situations that social scientists should often encounter.
PubDate: 2022-10-11

• Editor’s Desk

PubDate: 2022-10-07

• The Frobenius Characteristic of Character Polynomials

Abstract: Abstract Polynomials in an infinite sequence of variables can be evaluated as class functions of symmetric groups on $$n$$ letters across all $$n$$ . When they represent characters of families of representations, they are called character polynomials. This article is an introduction to the theory of character polynomials and their Frobenius characteristics. As an application, some generating functions describing the restriction of a polynomial representation of $$GL_n$$ to $$S_n$$ are obtained.
PubDate: 2022-09-26

• A p-adic Waldspurger Formula and the Conjecture of Birch and
Swinnerton-Dyer

Abstract: Abstract About a decade ago Bertolini–Darmon–Prasanna proved a p-adic Waldspurger formula, which expresses values of an anticyclotomic p-adic L-function associated to an elliptic curve $$E_{/{\mathbb {Q}}}$$ outside its defining range of interpolation in terms of the p-adic logarithm of Heegner points on E. In the ensuing decade an insight of Skinner based on the p-adic Waldspurger formula has initiated a progress towards the Birch and Swinnerton-Dyer conjecture for elliptic curves over $${\mathbb {Q}}$$ , especially rank one aspects. In this note we outline some of this recent progress.
PubDate: 2022-09-15
DOI: 10.1007/s41745-022-00313-0

• Statistics is What Statistics Does

Abstract: Abstract This paper provides background to articles in the special issue. It is aimed at readers who are not experts in statistics and may not be familiar with sequence of developments in topics covered. Reader will find very non-technical material about the role of statistics in genetics, health, evolution, survival analysis, etc.
PubDate: 2022-09-13
DOI: 10.1007/s41745-022-00328-7

• Quantum Correlations in Symmetric Multiqubit Systems

Abstract: Abstract Permutation symmetric multiqubit quantum states draw attention due to their experimental feasibility and for the mathematical elegance offered by them. This class of states belong to the $$d=2j+1=N+1$$ dimensional subspace of the $$2^{N}$$ dimensional Hilbert space of N qubits, which corresponds to the maximum value $$j=N/2$$ of the angular momentum of N constituent spin- $$\frac{1}{2}$$ (qubit) systems. In this article, we review quantum correlations in permutation symmetric multiqubit states via (i) local unitary invariants, pairwise entanglement and spin squeezing (ii) entanglement characterization using covariance matrix (iii) local sum uncertainty relations (LSUR) for symmetric multiqubit systems (iv) Majorana geometric representation of pure symmetric multiqubit states (v) canonical forms of pure symmetric states under stochastic local operations and classical communications (SLOCC).
PubDate: 2022-09-07
DOI: 10.1007/s41745-022-00323-y

• The Quantum Internet: A Hardware Review

Abstract: Abstract In the century following its discovery, applications for quantum physics are opening a new world of technological possibilities. With the current decade witnessing quantum supremacy, quantum technologies are already starting to change the ways information is generated, transmitted, stored and processed. The next major milestone in quantum technology is already rapidly emerging—the quantum internet. Since light is the most logical candidate for quantum communication, quantum photonics is a critical enabling technology. This paper reviews the hardware aspects of the quantum internet, mainly from a photonics perspective. Though a plethora of quantum technologies and devices have emerged in recent years, we are more focused on devices or components that may enable the quantum internet. Our approach is primarily qualitative, providing a broad overview of the necessary technologies for a large-scale quantum internet.
PubDate: 2022-09-07
DOI: 10.1007/s41745-022-00336-7

• Quantum Error Correction: Noise-Adapted Techniques and Applications

Abstract: Abstract The quantum computing devices of today have tens to hundreds of qubits that are highly susceptible to noise due to unwanted interactions with their environment. The theory of quantum error correction provides a scheme by which the effects of such noise on quantum states can be mitigated, paving the way for realising robust, scalable quantum computers. In this article we survey the current landscape of quantum error correcting (QEC) codes, focusing on recent theoretical advances in the domain of noise-adapted QEC, and highlighting some key open questions. We also discuss the interesting connections that have emerged between such adaptive QEC techniques and fundamental physics, especially in the areas of many-body physics and cosmology. We conclude with a brief review of the theory of quantum fault tolerance which gives a quantitative estimate of the physical noise threshold below which error-resilient quantum computation is possible.
PubDate: 2022-09-07
DOI: 10.1007/s41745-022-00332-x

• Quantum Optimal Control: Practical Aspects and Diverse Methods

Abstract: Abstract Quantum controls realize the unitary or nonunitary operations employed in quantum computers, quantum simulators, quantum communications, and other quantum information devices. They implement the desired quantum dynamics with the help of electric, magnetic, or electromagnetic control fields. Quantum optimal control (QOC) deals with designing an optimal control field modulation that most precisely implements a desired quantum operation with minimum energy consumption and maximum robustness against hardware imperfections as well as external noise. Over the last 2 decades, numerous QOC methods have been proposed. They include asymptotic methods, direct search, gradient methods, variational methods, machine learning methods, etc. In this review, we shall introduce the basic ideas of QOC, discuss practical challenges, and then take an overview of the diverse QOC methods.
PubDate: 2022-09-07
DOI: 10.1007/s41745-022-00311-2

• Quantum Information Theory in Infinite Dimensions with Application to
Optical Channels

Abstract: Abstract Information theory deals with the efficient representation of information sources as well as providing fundamental limits to the amount of information communicated reliably over channels. These sources and channels are generally classical, i.e., represented by standard probability distributions. Quantum information theory takes it to the next level where we allow for the sources as well as channels to be quantum. From the representation of quantum states to the communication over quantum channels, the theory not only essentially encapsulates classical information theoretic methods but also accounts for quantum effects such as superposition, entanglement, interference, etc. In this article, we will review and focus on the information theoretic analysis of quantum channels with infinite dimensions. Infinite dimensionality is needed to model quantum optical channels which are ubiquitous in today’s practical networks, distributed quantum communication and quantum internet. The infinite dimensionality introduces some unique problems when compared with finite-dimensional channels and has not been deeply explored in literature from the quantum information theoretic perspective. For these channels, we provide the essential concepts and state-of-the-art channel capacity results. To make this paper self-contained, we also recall the finite dimensional results.
PubDate: 2022-08-23
DOI: 10.1007/s41745-022-00321-0

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