IK
Igor Klep
math.FAmath.RAmath.OCmath.OAquant-phmath.MPmath-phmath.AGmath.RTcs.CR
On Valency
published · living versionsW_9tgbjexu·v1 · currentpublished
Fejer-Riesz factorization for free products
with Abhay Jindal, Jacob Levenson, Scott McCullough
1 version
Preprints & journals
80 papers in the corpus · 2006–2026Convergence Rates for Lasserre's Upper-Bound Hierarchy on with Gaussian Measure2610.22030v1 · Sander Gribling, Igor Klep, Poornendu Kumar2026 · 0 citationsarXiv
Quantum inflation and source-transfer hierarchies are complete for tree networks2609.19310v2 · Xiangling Xu, Igor Klep, Marc-Olivier Renou2026 · 0 citationsarXiv
Addendum to "Factoring non-negative operator valued trigonometric polynomials in two variables"2608.23073v1 · Michael A. Dritschel, Igor Klep, Scott McCullough et al.2026 · 0 citationsarXiv
Quantitative semidefinite certificates for ground-state energies of Pauli Hamiltonians2605.29959v1 · Igor Klep, Nando Leijenhorst, Victor Magron2026 · 0 citationsarXiv
Operator-Valued Positivstellensätze on Matrix Convex Sets and Free Products of Finite Abelian Groups2604.27062v1 · Abhay Jindal, Igor Klep, Scott McCullough2026 · 0 citationsarXiv
Robust self-testing with CHSH mod 32604.03700v1 · Igor Klep, Nando Leijenhorst, Victor Magron2026 · 0 citationsarXiv
The Effective Lasserre's Perturbative Positivstellensatz2603.13954v1 · Igor Klep, Victor Magron, Matthias Schotz2026 · 0 citationsarXiv
Inclusion constants for free spectrahedra with applications to quantum incompatibility2512.17706v1 · Andreas Bluhm, Eric Evert, Igor Klep et al.2025 · 0 citationsarXiv
Exploiting Term Sparsity in Symmetry-Adapted Basis for Polynomial Optimization2511.18019v1 · Igor Klep, Victor Magron, Tobias Metzlaff et al.2025 · 0 citationsarXiv
Fejér--Riesz factorization for positive noncommutative trigonometric polynomials2511.09267v3 · Igor Klep, Jacob Levenson, Scott McCullough2025 · 0 citationsarXiv
Positive operator-valued noncommutative polynomials are squares2511.06487v3 · Abhay Jindal, Igor Klep, Scott McCullough2025 · 0 citationsarXiv
Quantitative quantum soundness for all multipartite compiled nonlocal games2509.25145v2 · Matilde Baroni, Igor Klep, Dominik Leichtle et al.2025 · 0 citationsarXiv
Quantitative Quantum Soundness for Bipartite Compiled Bell Games via the Sequential NPA Hierarchy2507.17006v3 · Igor Klep, Connor Paddock, Marc-Olivier Renou et al.2025 · 0 citationsarXiv
Quantitative Tsirelson's Theorems via Approximate Schur's Lemma and Probabilistic Stampfli's Theorems2505.22309v2 · Xiangling Xu, Marc-Olivier Renou, Igor Klep2025 · 0 citationsarXiv
Quantum Max d-Cut via qudit swap operators2503.20942v5 · Igor Klep, Tea Strekelj, Jurij Volcic2025 · 0 citationsQuantum 10, 2203 (2026)
Duality, extreme points and hulls for noncommutative partial convexity2412.13267v2 · Igor Klep, Scott McCullough, Tea Strekelj2024 · 0 citationsarXiv
Monoid algebras and graph products2407.02615v2 · Wilfried Imrich, Igor Klep, Daniel Smertnig2024 · 0 citationsArt Discrete Appl. Math. 8, No. 1, Paper No. P1.11, 18 p. (2025)
Upper bound hierarchies for noncommutative polynomial optimization2402.02126v3 · Igor Klep, Victor Magron, Gael Mass'e et al.2024 · 0 citationsarXiv
Cross-positive linear maps, positive polynomials and sums of squares2401.17425v2 · Igor Klep, Klemen Sivic, Aljaz Zalar2024 · 0 citationsJ. Algebra 688 (2026) 189-243
Positivstellensätze and Moment problems with Universal Quantifiers2401.12359v2 · Xiaomeng Hu, Igor Klep, Jiawang Nie2024 · 1 citationarXiv
First-order optimality conditions for non-commutative optimization problems2311.18707v5 · Mateus Ara'ujo, Igor Klep, Andrew J. P. Garner et al.2023 · 2 citationsFound. Comput. Math. (2026)
Relaxations and Exact Solutions to Quantum Max Cut via the Algebraic Structure of Swap Operators2307.15661v3 · Adam Bene Watts, Anirban Chowdhury, Aidan Epperly et al.2023 · 5 citationsQuantum 8, 1352 (2024)
Sums of squares certificates for polynomial moment inequalities2306.05761v2 · Igor Klep, Victor Magron, Jurij Volcic2023 · 2 citationsarXiv
A random copositive matrix is completely positive with positive probability2305.16224v2 · Igor Klep, Tea Strekelj, Aljaz Zalar2023 · 2 citationsSIAM J. Applied Algebra Geom. 8 (2024) 583-611
State polynomials: positivity, optimization and nonlinear Bell inequalities2301.12513v2 · Igor Klep, Victor Magron, Jurij Volcic et al.2023 · 8 citationsMath. Program. 207 (2024) 645-691
Matrix Extreme Points and Free extreme points of Free spectrahedra2212.00748v1 · Aidan Epperly, Eric Evert, J. William Helton et al.2022 · 0 citationsOptim. Methods Softw. 39 (2024) 1263--1308
Globally trace-positive noncommutative polynomials and the unbounded tracial moment problem2205.05959v2 · Igor Klep, Claus Scheiderer, Jurij Volcic2022 · 4 citationsMath. Ann. 387 (2023) 1403--1433
Noncommutative Nullstellensätze and Perfect Games2111.14928v2 · Adam Bene Watts, John William Helton, Igor Klep2021 · 5 citationsAnn. Henri Poincar\'e 24 (2023) 2183-2239
Ranks of linear matrix pencils separate simultaneous similarity orbits2109.09418v2 · Harm Derksen, Igor Klep, Visu Makam et al.2021 · 6 citationsAdv. Math. 415 (2023) 108888, 20pp
Noncommutative Polynomial Optimization2109.00786v1 · Abhishek Bhardwaj, Igor Klep, Victor Magron2021 · 5 citationsarXiv
Dimension-free entanglement detection in multipartite Werner states2108.08720v3 · Felix Huber, Igor Klep, Victor Magron et al.2021 · 17 citationsCommunications in Mathematical Physics 396, 1051-1070 (2022)
Facial structure of matrix convex sets2108.01611v5 · Igor Klep, Tea Strekelj2021 · 4 citationsJ. Funct. Anal. 283 (2022) 109601, 55pp
Positive univariate trace polynomials2009.10081v2 · Igor Klep, James Eldred Pascoe, Jurij Volcic2020 · 7 citationsJ. Algebra 579 (2021) 303--317
Classifying minimal vanishing sums of roots of unity2008.11268v2 · Louis Christie, Kenneth J. Dykema, Igor Klep2020 · 2 citationsarXiv
Optimization over trace polynomials2006.12510v4 · Igor Klep, Victor Magron, Jurij Volcic2020 · 21 citationsAnn. Henri Poincar\'e 23 (2022) 67-100
Noncommutative partially convex rational functions2005.01086v4 · Michael Jury, Igor Klep, Mark E. Mancuso et al.2020 · 1 citationRev. Mat. Iberoam. 38 (2022) 731-759
Noncommutative rational functions invariant under the action of a finite solvable group1909.08043v2 · Igor Klep, James Eldred Pascoe, Gregor Podlogar et al.2019 · 4 citationsJ. Math. Anal. Appl. 490 (2020) 124341, 17pp
Sparse Noncommutative Polynomial Optimization1909.00569v3 · Igor Klep, Victor Magron, Janez Povh2019 · 35 citationsMath. Program. 193 (2022) 789-829
Noncommutative partial convexity via -convexity1908.05949v1 · Michael Jury, Igor Klep, Mark E. Mancuso et al.2019 · 6 citationsJ. Geom. Anal. 31 (2021) 3137--3160
Plurisubharmonic Noncommutative Rational Functions1908.01895v1 · Harry Dym, J. William Helton, Igor Klep et al.2019 · 2 citationsJ. Math. Anal. Appl. 492 (2020) 124421, 23pp
Factorization of noncommutative polynomials and Nullstellensätze for the free algebra1907.04328v2 · J. William Helton, Igor Klep, Jurij Volcic2019 · 9 citationsInt. Math. Res. Not. IMRN Issue 11 (2022) 343--372
Local theory of free noncommutative functions: germs, meromorphic functions and Hermite interpolation1905.13303v2 · Igor Klep, Victor Vinnikov, Jurij Volcic2019 · 11 citationsTrans. Amer. Math. Soc. 373 (2020) 5587--5625
A Model Theoretic Perspective on Matrix Rings1810.09024v4 · Igor Klep, Marcus Tressl2018 · 3 citationsMath. Z. 309 (2025) 45, 20pp
Bianalytic free maps between spectrahedra and spectraballs1804.09743v3 · J. William Helton, Igor Klep, Scott McCullough et al.2018 · 7 citationsJ. Funct. Anal. 278 (2020) 108472, 61pp
Free bianalytic maps between spectrahedra and spectraballs in a generic setting1711.09459v4 · Meric Augat, J. William Helton, Igor Klep et al.2017 · 1 citation"Interpolation and Realization Theory with Applications to Control Theory" (Operator Theory: Advances and Applications vol. 272), 43-60, Birkh\"auser, 2019
Geometry of free loci and factorization of noncommutative polynomials1708.05378v2 · J. William Helton, Igor Klep, Jurij Volcic2017 · 28 citationsAdv. Math. 331 (2018) 589--626
Skolem-Noether algebras1706.08976v1 · Matej Bresar, Christoph Hanselka, Igor Klep et al.2017 · 4 citationsJ. Algebra 498 (2018) 294-314
Positive trace polynomials and the universal Procesi-Schacher conjecture1702.01753v2 · Igor Klep, Spela Spenko, Jurij Volcic2017 · 14 citationsProc. Lond. Math. Soc. 117 (2018) 1101-1134
Circular Free Spectrahedra1604.05756v1 · Eric Evert, J. William Helton, Igor Klep et al.2016 · 5 citationsJ. Math. Anal. Appl. 445 (2017) 1047-1070
Free loci of matrix pencils and domains of noncommutative rational functions1512.02648v4 · Igor Klep, Jurij Volcic2015 · 17 citationsComment. Math. Helvet. 92 (2017) 105-130
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