Igor Markov
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Igor Leonidovich Markov (Ukrainian: Ігор Леонідович Марков; born in 1973 in
Kyiv Kyiv, also spelled Kiev, is the capital and most populous city of Ukraine. It is in north-central Ukraine along the Dnieper River. As of 1 January 2021, its population was 2,962,180, making Kyiv the seventh-most populous city in Europe. Kyi ...
,
Ukraine Ukraine ( uk, Україна, Ukraïna, ) is a country in Eastern Europe. It is the second-largest European country after Russia, which it borders to the east and northeast. Ukraine covers approximately . Prior to the ongoing Russian inv ...
) is an American professor, computer scientist and engineer. Markov is known for mathematical and algorithmic results in quantum computation, work on
limits of computation The limits of computation are governed by a number of different factors. In particular, there are several physical and practical limits to the amount of computation or data storage that can be performed with a given amount of mass, volume, or energ ...
, research on algorithms for optimizing
integrated circuits An integrated circuit or monolithic integrated circuit (also referred to as an IC, a chip, or a microchip) is a set of electronic circuits on one small flat piece (or "chip") of semiconductor material, usually silicon. Large numbers of tiny ...
and on electronic design automation, as well as
artificial intelligence Artificial intelligence (AI) is intelligence—perceiving, synthesizing, and inferring information—demonstrated by machines, as opposed to intelligence displayed by animals and humans. Example tasks in which this is done include speech r ...
. Additionally, Markov is a California non-profit executive responsible for aid to
Ukraine Ukraine ( uk, Україна, Ukraïna, ) is a country in Eastern Europe. It is the second-largest European country after Russia, which it borders to the east and northeast. Ukraine covers approximately . Prior to the ongoing Russian inv ...
worth tens of millions dollars. Igor L. Markov has no known relation to the mathematician Andrey Markov.


Career

Markov obtained an
M.A. A Master of Arts ( la, Magister Artium or ''Artium Magister''; abbreviated MA, M.A., AM, or A.M.) is the holder of a master's degree awarded by universities in many countries. The degree is usually contrasted with that of Master of Science. Tho ...
degree in mathematics and a
Doctor of Philosophy A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is ...
degree in
Computer Science Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to practical disciplines (includi ...
from
UCLA The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California ...
in 2001. From the early 2000s through 2018 he was a professor at
University of Michigan , mottoeng = "Arts, Knowledge, Truth" , former_names = Catholepistemiad, or University of Michigania (1817–1821) , budget = $10.3 billion (2021) , endowment = $17 billion (2021)As o ...
, where he supervised doctoral dissertations and degrees of 12 students in Electrical engineering and
Computer science Computer science is the study of computation, automation, and information. Computer science spans theoretical disciplines (such as algorithms, theory of computation, information theory, and automation) to practical disciplines (includi ...
. He worked as a principal engineer at
Synopsys Synopsys is an American electronic design automation (EDA) company that focuses on silicon design and verification, silicon intellectual property and software security and quality. Products include tools for logic synthesis and physical de ...
during a sabbatical leave. In 2013-2014 he was a visiting professor at Stanford University. Markov worked at
Google Google LLC () is an American Multinational corporation, multinational technology company focusing on Search Engine, search engine technology, online advertising, cloud computing, software, computer software, quantum computing, e-commerce, ar ...
on Search and Information Retrieval, and at Meta on
Machine Learning Machine learning (ML) is a field of inquiry devoted to understanding and building methods that 'learn', that is, methods that leverage data to improve performance on some set of tasks. It is seen as a part of artificial intelligence. Machine ...
platforms. As of 2024, he works at
Synopsys Synopsys is an American electronic design automation (EDA) company that focuses on silicon design and verification, silicon intellectual property and software security and quality. Products include tools for logic synthesis and physical de ...
. Markov is a member of the Board of Directors of Nova Ukraine, a California 501(c)(3) charity organization that provides humanitarian aid in Ukraine. At Nova Ukraine, Markov leads government and media relations, as well as advocacy efforts. Markov curated publicity efforts, established and curated large medical and evacuation projects, and contributed to fundraising.


Awards and distinctions

ACM
Special Interest Group on Design Automation SIGDA, Association for Computing Machinery's Special Interest Group on Design Automation , is a professional development organization for the Electronic Design Automation (EDA) community. SIGDA is organized and operated exclusively for educati ...
honored Markov with an Outstanding New Faculty Award in 2004. Markov was the 2009 recipient of IEEE CEDA Ernest S. Kuh Early Career Award "for outstanding contributions to algorithms, methodologies and software for the physical design of integrated circuits." Markov became ACM Distinguished Scientist in 2011. In 2013 he was named an
IEEE fellow As of 2019, the Institute of Electrical and Electronics Engineers (IEEE) has 5,082 members designated Fellow, each of whom is associated with one of the 41 societies under the IEEE. The Fellow grade of membership is the highest level of membershi ...
"for contributions to optimization methods in electronic design automation".


Award-winning publications

Markov's peer-reviewed scholarly work was recognized with five best-paper awards, including four at major conferences and a journal in the field of electronic design automation, and one in
theoretical computer science computer science (TCS) is a subset of general computer science and mathematics that focuses on mathematical aspects of computer science such as the theory of computation, lambda calculus, and type theory. It is difficult to circumscribe the ...
: * The 2003
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems ''IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems'' (sometimes abbreviated ''IEEE TCAD'' or ''IEEE Transactions on CAD'') is a monthly peer-reviewed scientific journal covering the design, analysis, and use of computer ...
Donald O. Pederson Best Paper Award, shared with Vivek Shende and John P. Hayes for work on reversible logic circuits. * The 2004 best-paper award at the
Design Automation and Test in Europe A design is a plan or specification for the construction of an object or system or for the implementation of an activity or process or the result of that plan or specification in the form of a prototype, product, or process. The verb ''to design'' ...
(DATE) conference, shared with Smita Krishnaswamy, George F. Viamontes, and John P. Hayes for work on circuit reliability evaluation with probabilistic transfer matrices. Full journal version of this work was published four years later. * The 2008 best-paper award at the
International Symposium on Physical Design The International Symposium on Physical Design, or ISPD is a yearly conference on the topic of electronic design automation, concentrating on algorithms for the physical design of integrated circuits. It is typically held in April of each year, in ...
(ISPD), shared with Stephen Plaza and Valeria Bertacco, for work on physical synthesis. * The 2010 best-paper award at the
International Conference on Computer-Aided Design The International Conference on Computer-Aided Design (ICCAD) is a yearly conference about electronic design automation. From the start in 1980 until 2014 the conference was held in San Jose, California. It is sponsored by the IEEE Circuits and ...
(ICCAD) for work on circuit placement. The full journal version of this work was published two years later. * The best-paper award at the 2012
Alan Turing Centenary Conference The Alan Turing Centenary Conference was an academic conference celebrating the life and research of Alan Turing by bringing together distinguished scientists to understand and analyse the history and development of Computer Science and Artifici ...
in
Manchester Manchester () is a city in Greater Manchester, England. It had a population of 552,000 in 2021. It is bordered by the Cheshire Plain to the south, the Pennines to the north and east, and the neighbouring city of Salford to the west. The t ...
, UK, shared with Karem A. Sakallah for work on
graph automorphism In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge–vertex connectivity. Formally, an automorphism of a graph is a permutation of the ...
and canonical labeling.


Books and other publications

Markov co-authored over 200 peer-reviewed publications in journals and archival conference proceedings, and
Google Scholar Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines. Released in beta in November 2004, the Google Scholar index includes ...
reported over 19,000 citations of his publications as of October 2023. In a 2014 Nature article, Markov surveyed known limits to computation, pointing out that many of them are fairly lose and do not restrict near-term technologies. When practical technologies encounter serious limits, understanding these limits can lead to workarounds. More often, what is practically achievable depends on technology-specific engineering limitations. Markov co-edited the two-volume Electronic Design Automation handbook published in second edition by
Taylor & Francis Taylor & Francis Group is an international company originating in England that publishes books and academic journals. Its parts include Taylor & Francis, Routledge, F1000 (publisher), F1000 Research or Dovepress. It is a division of Informa ...
in 2016. He also co-authored five scholarly books published by
Springer Springer or springers may refer to: Publishers * Springer Science+Business Media, aka Springer International Publishing, a worldwide publishing group founded in 1842 in Germany formerly known as Springer-Verlag. ** Springer Nature, a multinationa ...
, among them are two textbooks: * a 2009 book on simulation of
quantum circuit In quantum information theory, a quantum circuit is a model for quantum computation, similar to classical circuits, in which a computation is a sequence of quantum gates, measurements, initializations of qubits to known values, and possibly o ...
s, * a 2011 book on physical design of
integrated circuits An integrated circuit or monolithic integrated circuit (also referred to as an IC, a chip, or a microchip) is a set of electronic circuits on one small flat piece (or "chip") of semiconductor material, usually silicon. Large numbers of tiny ...
for university courses with exercises, revised in 2022 as a second edition. Markov's other books cover uncertainty in
logic circuits A logic gate is an idealized or physical device implementing a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output. Depending on the context, the term may refer to an ideal logic gate ...
, dealing with functional design errors in
digital circuits Digital electronics is a field of electronics involving the study of digital signals and the engineering of devices that use or produce them. This is in contrast to analog electronics and analog signals. Digital electronic circuits are usually ...
, and physical synthesis of
integrated circuits An integrated circuit or monolithic integrated circuit (also referred to as an IC, a chip, or a microchip) is a set of electronic circuits on one small flat piece (or "chip") of semiconductor material, usually silicon. Large numbers of tiny ...
.


Key technical contributions


Quantum computing

Markov’s contributions include results on quantum circuit synthesis (creating circuits from specifications) and simulation of quantum circuits on conventional computers (obtaining the output of a quantum computer without a quantum computer). * An algorithm for the synthesis of linear reversible circuits with at most O(n^2/\log n)
CNOT In computer science, the controlled NOT gate (also C-NOT or CNOT), controlled-''X'' gate'','' controlled-bit-flip gate, Feynman gate or controlled Pauli-X is a quantum logic gate that is an essential component in the construction of a gate-base ...
gates (asymptotically optimal) that was extended by
Scott Aaronson Scott Joel Aaronson (born May 21, 1981) is an American theoretical computer scientist and David J. Bruton Jr. Centennial Professor of Computer Science at the University of Texas at Austin. His primary areas of research are quantum computing a ...
and
Daniel Gottesman Daniel Gottesman is a physicist, known for his work regarding quantum error correction, in particular the invention of the stabilizer formalism for quantum error-correcting codes, and the Gottesman–Knill theorem. He is a faculty member at th ...
to perform optimal synthesis of Clifford circuits, with applications to quantum error correction. * Optimal synthesis of a two-qubit unitary that uses the minimal number of
CNOT In computer science, the controlled NOT gate (also C-NOT or CNOT), controlled-''X'' gate'','' controlled-bit-flip gate, Feynman gate or controlled Pauli-X is a quantum logic gate that is an essential component in the construction of a gate-base ...
gates * Asymptotically optimal synthesis of an n -qubit quantum circuit that (a) implements a given unitary matrix using no more than(23/48)\times 4^n - (3/2) \times 2^n + 4/3 CNOT gates (less than a factor of two away from the theoretical lower bound) and (b) induces an initial quantum state using no more than 2^ - 2n CNOT gates (less than a factor of four away from the theoretical lower bound). IBM Qiskit uses Markov's circuit synthesis algorithm. * Efficient simulation of
quantum circuit In quantum information theory, a quantum circuit is a model for quantum computation, similar to classical circuits, in which a computation is a sequence of quantum gates, measurements, initializations of qubits to known values, and possibly o ...
s with low tree-width using tensor-network contraction. Follow-up works extended this technique with approximations, which allowed them to simulate
quantum Fourier transform In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform. The quantum Fourier transform is a part of many quantum algorithms, notably Shor' ...
in poly time. Markov's work was used in an essential way in the first proof (by Dorit Aharonov et al.) that
quantum Fourier transform In quantum computing, the quantum Fourier transform (QFT) is a linear transformation on quantum bits, and is the quantum analogue of the discrete Fourier transform. The quantum Fourier transform is a part of many quantum algorithms, notably Shor' ...
can be classically simulated.


Physical design of integrated circuits

Markov's Capo placer provided a baseline for comparisons used in the placement literature. The placer was commercialized and used to design industry chips. Markov's contributions include algorithms, methodologies and software for * Circuit partitioning: high-performance heuristic optimizations for hypergraph partitioning * Placement: algorithms for finding (x,y) locations of circuit components that optimize interconnects between those components * Floorplanning: algorithms and methodologies for chip planning in terms of locations of large components * Routing: algorithms based on
Lagrangian relaxation In the field of mathematical optimization, Lagrangian relaxation is a relaxation method which approximates a difficult problem of constrained optimization by a simpler problem. A solution to the relaxed problem is an approximate solution to the o ...
to construct global wire routs on a multilayer grid structure * Physical synthesis: algorithms and methodologies for altering logic circuits to admit layouts with shorter interconnects or lower latency


Machine learning

Markov led the development of an end-to-end AI platform called Looper, which supports the full machine learning lifecycle from model training, deployment, and inference all the way to evaluation and tuning of products. Looper provides easy-to-use APIs for optimization, personalization, and feedback collection.


Activity on social media

Markov was awarded a Top Writer status on
Quora Quora () is a social question-and-answer website based in Mountain View, California. It was founded on June 25, 2009, and made available to the public on June 21, 2010. Users can collaborate by editing questions and commenting on answers that ...
in 2018, 2017, 2016, 2015 and 2014, he has over 80,000 followers. His contributions were republished by '' Huffington Post'', '' Slate'', and ''
Forbes ''Forbes'' () is an American business magazine owned by Integrated Whale Media Investments and the Forbes family. Published eight times a year, it features articles on finance, industry, investing, and marketing topics. ''Forbes'' also r ...
''. Markov is a moderator for the cs.ET (Emerging Technologies in Computing and Communications) subject area on
arXiv arXiv (pronounced "archive"—the X represents the Greek letter chi ⟨χ⟩) is an open-access repository of electronic preprints and postprints (known as e-prints) approved for posting after moderation, but not peer review. It consists of ...
.


References


External links

* * {{DEFAULTSORT:Markov, Igor Living people Fellows of the IEEE Distinguished Members of the ACM American computer scientists American people of Ukrainian descent 1973 births 21st-century American scientists American inventors Electronic design automation people Facebook employees Google employees University of California, Los Angeles alumni