Zobrazeno 1 - 10
of 13 174
pro vyhledávání: '"Pierre, Emmanuel"'
We analyse a Fokker-Planck like equation, driven by a scalar parameter in order to reach an integral constraint. We exhibit criteria guaranteeing existence-uniqueness of a solution. We also provide counter-examples. This problem is motivated by an ap
Externí odkaz:
http://arxiv.org/abs/2412.02420
Large Language Models (LLMs) have become increasingly popular for generating RTL code. However, producing error-free RTL code in a zero-shot setting remains highly challenging for even state-of-the-art LLMs, often leading to issues that require manua
Externí odkaz:
http://arxiv.org/abs/2412.04485
This paper investigates the long time dynamics of interacting particle systems subject to singular interactions. We consider a microscopic system of $N$ interacting point particles, where the time evolution of the joint distribution $f_N(t)$ is gover
Externí odkaz:
http://arxiv.org/abs/2411.08614
Autor:
Lysaght, Liam, Goubault, Timothée, Sinnott, Patrick, Mansfield, Shane, Emeriau, Pierre-Emmanuel
We present qubit logic on qudits (QLOQ), a compression scheme in which the qubits from a hardware agnostic circuit are divided into groups of various sizes, and each group is mapped to a physical qudit for computation. QLOQ circuits have qubit-logic
Externí odkaz:
http://arxiv.org/abs/2411.03878
Quantifying the resources available to a quantum computer appears to be necessary to separate quantum from classical computation. Among them, entanglement, magic and coherence are arguably of great significance. We introduce path coherence as a measu
Externí odkaz:
http://arxiv.org/abs/2410.07024
Autor:
Pappalardo, Axel, Emeriau, Pierre-Emmanuel, de Felice, Giovanni, Ventura, Brian, Jaunin, Hugo, Yeung, Richie, Coecke, Bob, Mansfield, Shane
We present a method for gradient computation in quantum algorithms implemented on linear optical quantum computing platforms. While parameter-shift rules have become a staple in qubit gate-based quantum computing for calculating gradients, their dire
Externí odkaz:
http://arxiv.org/abs/2410.02726
Autor:
Bourdoncle, Boris, Emeriau, Pierre-Emmanuel, Hilaire, Paul, Mansfield, Shane, Music, Luka, Wein, Stephen
Secure Delegated Quantum Computation (SDQC) protocols are a vital piece of the future quantum information processing global architecture since they allow end-users to perform their valuable computations on remote quantum servers without fear that a m
Externí odkaz:
http://arxiv.org/abs/2409.12103
We prove that Schubert varieties in flag manifolds are uniquely determined by their equivariant cohomology classes, as well as a stronger result that replaces Schubert varieties with closures of Bialynicki-Birula cells under suitable conditions. This
Externí odkaz:
http://arxiv.org/abs/2409.11387
The dynamics of exchangeable or spatially-structured networks of $N$ interacting stochastic neurons can be described by deterministic population equations in the mean-field limit $N\to\infty$, when synaptic weights scale as $O(1/N)$. This asymptotic
Externí odkaz:
http://arxiv.org/abs/2409.06325
Large Language Models (LLMs) are computational models capable of performing complex natural language processing tasks. Leveraging these capabilities, LLMs hold the potential to transform the entire hardware design stack, with predictions suggesting t
Externí odkaz:
http://arxiv.org/abs/2409.11411