Zobrazeno 1 - 10
of 20 148
pro vyhledávání: '"P, Converse"'
Autor:
Oufkir, Aadil, Berta, Mario
We study relaxations of entanglement-assisted quantum channel coding and establish that non-signaling assistance and the meta-converse are equivalent in terms of success probabilities. We then present a rounding procedure that transforms any non-sign
Externí odkaz:
http://arxiv.org/abs/2410.21124
Autor:
Keller, Timo, Yin, Mulun
Let $E/\mathbf{Q}$ be an elliptic curve and $p\geq 3$ be a prime. We prove the $p$-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes (i.e., such that the residual representation $E[p]$ is reducible) whe
Externí odkaz:
http://arxiv.org/abs/2410.23241
Autor:
Babb, Ryan L. Acosta
It is known that the Bessel--Fourier coefficients $f_m$ of a function $f$ such that $\sqrt{x}f(x)$ is integrable over $[0,1]$ satisfy $f_m/\sqrt{m}\to 0$. We show a partial converse, namely that for $0\leq \alpha<1/2$ and any non-negative $a_m\to 0$,
Externí odkaz:
http://arxiv.org/abs/2410.17681
Autor:
Berta, Mario, Yao, Yongsheng
The quantum dichotomies problem asks at what rate one pair of quantum states can be approximately mapped into another pair of quantum states. In the many copy limit and for vanishing error, the optimal rate is known to be given by the ratio of the re
Externí odkaz:
http://arxiv.org/abs/2410.12576
We study the effect of shared non-signaling correlations for the problem of simulating a channel using noiseless communication in the one-shot setting. For classical channels, we show how to round any non-signaling-assisted simulation strategy--which
Externí odkaz:
http://arxiv.org/abs/2410.08140
A strong coupling between electric polarization and elastic deformation in solids is an important factor in creating useful electromechanical nanodevices. Such coupling is typically allowed in insulating materials with inversion symmetry breaking as
Externí odkaz:
http://arxiv.org/abs/2410.04831
Autor:
Matringe, Nadir
Let $F$ be a non Archimedean local field, and $G$ be the $F$-points of a connected quasi-split reductive group defined over $F$. In this note we propose a converse theorem statement for generic Langlands parameters of $G$ when the Langlands dual grou
Externí odkaz:
http://arxiv.org/abs/2409.20240
Autor:
He, Xingyi, Pradhan, S. Sandeep
In this paper, we provide a lower and an upper bound for the strong converse exponent of the soft covering problem in the classical setting. This exponent characterizes the slowest achievable convergence speed of the total variation to one when a cod
Externí odkaz:
http://arxiv.org/abs/2409.18307
Autor:
Young, Ben
The Holant theorem is a powerful tool for studying the computational complexity of counting problems in the Holant framework. Due to the great expressiveness of the Holant framework, a converse to the Holant theorem would itself be a very powerful co
Externí odkaz:
http://arxiv.org/abs/2409.06911
Autor:
Castella, Francesc
We prove a $p$-converse to the theorem of Gross-Zagier and Kolyvagin for elliptic curves $E/\mathbf{Q}$ at primes $p>3$ of multiplicative reduction. Two key ingredients in the argument are an extension to this setting of a $p$-adic formula of Bertoli
Externí odkaz:
http://arxiv.org/abs/2409.01360