Zobrazeno 1 - 10
of 15 173
pro vyhledávání: '"atzE"'
Autor:
Knitter, Oliver, Zhao, Dan, Stokes, James, Ganahl, Martin, Leichenauer, Stefan, Veerapaneni, Shravan
Neural-network quantum states (NQS) has emerged as a powerful application of quantum-inspired deep learning for variational Monte Carlo methods, offering a competitive alternative to existing techniques for identifying ground states of quantum proble
Externí odkaz:
http://arxiv.org/abs/2411.03900
The Quantum Approximate Optimization Algorithm (QAOA) has been proposed as a method to obtain approximate solutions for combinatorial optimization tasks. In this work, we study the underlying algebraic properties of three QAOA ans\"atze for the maxim
Externí odkaz:
http://arxiv.org/abs/2410.05187
We examine the applicability of the numerically accurate method of time dependent variation with multiple Davydov Ansatze (mDA) to non-Hermitian systems. Three systems of interest includes: a non-Hermitian system of dissipative Landau-Zener transitio
Externí odkaz:
http://arxiv.org/abs/2410.12285
Autor:
Cimprič, J.
We prove a new quaternionic and a new matrix nullstellensatz. We also show that both theories are intertwined.
Comment: 16 pages, submitted
Comment: 16 pages, submitted
Externí odkaz:
http://arxiv.org/abs/2409.17850
Autor:
di Dio, Philipp J.
These are the lecture notes based on [dD23] for the (upcoming) lecture "T-systems with a special emphasis on sparse moment problems and sparse Positivstellens\"atze" in the summer semester 2024 at the University of Konstanz. The main purpose of this
Externí odkaz:
http://arxiv.org/abs/2403.04548
Autor:
Volčič, Jurij
Hilbert's Nullstellensatz is one of the most fundamental correspondences between algebra and geometry, and has inspired a plethora of noncommutative analogs. In last two decades, there has been an increased interest in understanding vanishing sets of
Externí odkaz:
http://arxiv.org/abs/2403.06270
Autor:
Schlosser, Corbinian, Tacchi, Matteo
Recently a moment-sum-of-squares hierarchy for exit location estimation of stochastic processes has been presented. When restricting to the special case of the unit ball, we show that the solutions approach the optimal value by a super-polynomial rat
Externí odkaz:
http://arxiv.org/abs/2403.05934
Autor:
di Dio, Philipp J.
We deal with and investigate sparse univariate Positivstellens\"atze, Nichtnegativstellens\"atze, and solutions to sparse moment problems. The paper relies heavily on results on T-system by Karlin in 1963 and by Karlin and Studden in 1966. We gain co
Externí odkaz:
http://arxiv.org/abs/2309.03864
This paper studies Positivstellens\"atze and moment problems for sets $K$ that are given by universal quantifiers. Let $Q$ be a closed set and let $g = (g_1,...,g_s)$ be a tuple of polynomials in two vector variables $x$ and $y$. Then $K$ is describe
Externí odkaz:
http://arxiv.org/abs/2401.12359
Autor:
Anand, Abhinav, Brown, Kenneth R.
One promising application of near-term quantum devices is to prepare trial wavefunctions using short circuits for solving different problems via variational algorithms. For this purpose, we introduce a new circuit design that combines graph-based dia
Externí odkaz:
http://arxiv.org/abs/2312.17146