Zobrazeno 1 - 10
of 18 108
pro vyhledávání: '"Alexander, S P"'
We investigate the impact of the quantized mechanical motion of optically trapped atoms, arranged in proximity to a one-dimensional waveguide, on the propagation of polariton modes. Our study identifies a regime of resonant phonon-assisted mixing bet
Externí odkaz:
http://arxiv.org/abs/2411.17907
Motivated by connections between algebraic complexity lower bounds and tensor decompositions, we investigate Koszul-Young flattenings, which are the main ingredient in recent lower bounds for matrix multiplication. Based on this tool we give a new al
Externí odkaz:
http://arxiv.org/abs/2411.14344
We study the problem of detecting or recovering a planted ranked subgraph from a directed graph, an analog for directed graphs of the well-studied planted dense subgraph model. We suppose that, among a set of $n$ items, there is a subset $S$ of $k$ i
Externí odkaz:
http://arxiv.org/abs/2411.19885
An important challenge with the current generation of noisy, large-scale quantum computers is the question of validation. Does the hardware generate correct answers? If not, what are the errors? This issue is often combined with questions of computat
Externí odkaz:
http://arxiv.org/abs/2411.11228
We propose that modifications to the Higgs potential within a narrow atmospheric layer near the event horizon of an astrophysical black hole could significantly enhance the rate of sphaleron transitions, as well as transform the Chern-Simons number i
Externí odkaz:
http://arxiv.org/abs/2411.10847
We present a theoretical framework for investigating the non-classical collective relaxation in arrays of {\Lambda}-type three-level atoms, where the two optical transitions coupled to a pair of orthogonal chiral or achiral waveguide modes. We demons
Externí odkaz:
http://arxiv.org/abs/2411.06791
Proving complexity lower bounds remains a challenging task: currently, we only know how to prove conditional uniform (algorithm) lower bounds and nonuniform (circuit) lower bounds in restricted circuit models. About a decade ago, Williams (STOC 2010)
Externí odkaz:
http://arxiv.org/abs/2411.02936
Driven by advances in recording technology, large-scale high-dimensional datasets have emerged across many scientific disciplines. Especially in biology, clustering is often used to gain insights into the structure of such datasets, for instance to u
Externí odkaz:
http://arxiv.org/abs/2410.16124
Autor:
Runge, Antoine F. J., Schmidt, Mikołaj K., Solntsev, Alexander S., Steel, Michael J., Poulton, Christopher G.
We theoretically and numerically study the evolution of soliton-like waves supported by stimulated Brillouin scattering. First, the emergence and unusual behaviour of resonant solitary waves are investigated for both backward and forward three wave i
Externí odkaz:
http://arxiv.org/abs/2410.11214
Proving formula depth lower bounds is a fundamental challenge in complexity theory, with the strongest known bound of $(3 - o(1))\log n$ established by Hastad over 25 years ago. The Karchmer--Raz--Wigderson (KRW) conjecture offers a promising approac
Externí odkaz:
http://arxiv.org/abs/2410.10189