Zobrazeno 1 - 10
of 7 658
pro vyhledávání: '"P Conlon"'
Autor:
Conlon, David, Fox, Jacob, Gunby, Benjamin, He, Xiaoyu, Mubayi, Dhruv, Suk, Andrew, Verstraëte, Jacques, Yu, Hung-Hsun Hans
A natural open problem in Ramsey theory is to determine those $3$-graphs $H$ for which the off-diagonal Ramsey number $r(H, K_n^{(3)})$ grows polynomially with $n$. We make substantial progress on this question by showing that if $H$ is tightly conne
Externí odkaz:
http://arxiv.org/abs/2411.13812
Autor:
Conlon, David, Lim, Jeck
For $p$ prime, $A \subseteq \mathbb{Z}/p\mathbb{Z}$ and $\lambda \in \mathbb{Z}$, the sum of dilates $A + \lambda \cdot A$ is defined by \[A + \lambda \cdot A = \{a + \lambda a' : a, a' \in A\}.\] The basic problem on such sums of dilates asks for th
Externí odkaz:
http://arxiv.org/abs/2409.17112
This note expands on the details of the relationship between 4d kination solutions in string cosmology and Kasner solutions of 10d general relativity. It extends previous analyses of this relationship in IIB string theory to other string theories and
Externí odkaz:
http://arxiv.org/abs/2409.08049
Autor:
Shajilal, Biveen, Conlon, Lorcán O., Walsh, Angus, Tserkis, Spyros, Zhao, Jie, Janousek, Jiri, Assad, Syed, Lam, Ping Koy
Gaussian channel simulation is an essential paradigm in understanding the evolution of bosonic quantum states. It allows us to investigate how such states are influenced by the environment and how they transmit quantum information. This makes it an e
Externí odkaz:
http://arxiv.org/abs/2408.08667
Autor:
Conlon, Lorcan, Koh, Jin Ming, Shajilal, Biveen, Sidhu, Jasminder, Lam, Ping Koy, Assad, Syed M.
One of the fundamental tenets of quantum mechanics is that non-orthogonal states cannot be distinguished perfectly. When distinguishing multiple copies of a mixed quantum state, a collective measurement, which generates entanglement between the diffe
Externí odkaz:
http://arxiv.org/abs/2408.06678
Publikováno v:
Physical Review Research 6, 033315 (2024)
Measurement estimation bounds for local quantum multiparameter estimation, which provide lower bounds on possible measurement uncertainties, have so far been formulated in two ways: by extending the classical Cram\'er--Rao bound (e.g., the quantum Cr
Externí odkaz:
http://arxiv.org/abs/2407.12466
Addition of photons to coherent states is shown to produce effects that display remarkable similarities with cubic phase shifts acting on the vacuum state, with recorded fidelities in excess of 90 percent. The strength of the cubic interaction is fou
Externí odkaz:
http://arxiv.org/abs/2407.12265
Herding behavior has become a familiar phenomenon to investors, carrying the potential danger of both undervaluing and overvaluing assets, while also threatening market stability. This study contributes to the literature on herding behavior by using
Externí odkaz:
http://arxiv.org/abs/2407.08069
We describe a new mechanism, whose ingredients are realised in string compactifications, for the formation of cosmic (super)string networks. Oscillating string loops grow when their tension $\mu$ decreases with time. If $2H + \dot{\mu}/\mu < 0$, wher
Externí odkaz:
http://arxiv.org/abs/2406.12637
Autor:
Conlon, David, Führer, Jakob
We show that for every non-spherical set $X$ in $\mathbb{E}^d$, there exists a natural number $m$ and a red/blue-colouring of $\mathbb{E}^n$ for every $n$ such that there is no red copy of X and no blue progression of length $m$ with each consecutive
Externí odkaz:
http://arxiv.org/abs/2406.07718