Zobrazeno 1 - 10
of 560
pro vyhledávání: '"Croot, P"'
Autor:
Kumar, Shashwat, You, Xinyuan, Croot, Xanthe, Zhao, Tianpu, Chen, Danyang, Sussman, Sara, Premkumar, Anjali, Bryon, Jacob, Koch, Jens, Houck, Andrew A.
Qubits that are intrinsically insensitive to depolarization and dephasing errors promise to significantly reduce the overhead of fault-tolerant quantum computing. At their optimal operating points, the logical states of these qubits exhibit both expo
Externí odkaz:
http://arxiv.org/abs/2411.16648
We explore the melting mechanisms of silver nanowires through molecular dynamics simulations and theoretical modelling, where we observe that two distinct mechanisms or pathways emerge that dictate how the solid-liquid interface melts during the phas
Externí odkaz:
http://arxiv.org/abs/2411.12891
We survey the history of the capset problem in the context of related results on progression-free sets, discuss recent progress, and mention further directions to explore.
Comment: This is a survey paper
Comment: This is a survey paper
Externí odkaz:
http://arxiv.org/abs/2408.02328
Autor:
Croot, Ernie, Lee, Chi-Nuo
We consider the question of determining the structure of the set of all $d$-dimensional vectors of the form $N^{-1}(1_A*1_{-A}(x_1), ..., 1_A*1_{-A}(x_d))$ for $A \subseteq \{1,...,N\}$, and also the set of all $(2N+1)^{-1}(1_B*1_B(x_1), ..., 1_B*1_B
Externí odkaz:
http://arxiv.org/abs/2311.01552
Autor:
Croot, Ernie, Jin, Patrick
In this paper we show that prime sum graphs on $n$ vertices -- which are graphs on vertex set $\{1,2,...,n\}$ where $ij$ is an edge when $i+j$ is prime -- contain all trees with at most $\exp( c \log n / \log\log n)$ vertices as induced subgraphs. We
Externí odkaz:
http://arxiv.org/abs/2306.04565
Autor:
Croot, Ernest, Jin, Patrick
We study the basic properties of a prime sum graph, which is a simple graph defined on $\mathbb N$ where two vertices are adjacent if and only if their sum is a prime number. Further, we investigate some specific structures that appear inside a prime
Externí odkaz:
http://arxiv.org/abs/2301.01891
Autor:
Bryon, Jacob, Weiss, D. K., You, Xinyuan, Sussman, Sara, Croot, Xanthe, Huang, Ziwen, Koch, Jens, Houck, Andrew
Publikováno v:
Phys. Rev. Applied 19, 034031 (2023)
Recent theoretical work has highlighted that quantizing a superconducting circuit in the presence of time-dependent flux $\Phi(t)$ generally produces Hamiltonian terms proportional to $d\Phi/dt$ unless a special allocation of the flux across inductiv
Externí odkaz:
http://arxiv.org/abs/2208.03738
We show that for every $r \geq 1$, and all $r$ distinct (sufficiently large) primes $p_1,..., p_r > p_0(r)$, there exist infinitely many integers $n$ such that ${2n \choose n}$ is divisible by these primes to only low multiplicity. From a theorem of
Externí odkaz:
http://arxiv.org/abs/2201.11274
Autor:
Froneman, Pierre William, Pakhomov, E A, Turner, D, Abrahamson, K, Karlsson, B, Godhe, A, Bertilsson, S, Graneli, W, Carlsson, P, Wangberg, S, Wulff, A, Croot, P, Andersson, K, Balarin, M, Wedborg, M, Persson, T, Rasmus, K, Ozturk, M, David, R
Focuses on the Scandinavian/South African Antarctic expedition conducted between December 4, 1997 to February 6, 1998 which determined the role of Southern Ocean in the global carbon cycle in physical and biological oceanographic studies. Aims of the
Externí odkaz:
http://hdl.handle.net/10962/d1011955
Publikováno v:
Health Expectations, Vol 26, Iss 4, Pp 1418-1435 (2023)
Abstract Background People with motor neuron disease (pwMND) are routinely offered gastrostomy feeding tube placement and (non‐invasive and invasive) ventilation to manage the functional decline associated with the disease. This study aimed to synt
Externí odkaz:
https://doaj.org/article/2ac93d1985744b819a8957c9e6a8ee81
