Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Granet, Etienne"'
It is well-known that simulating quantum circuits with low but non-zero hardware noise is more difficult than without noise. It requires either to perform density matrix simulations (coming with a space overhead) or to sample over "quantum trajectori
Externí odkaz:
http://arxiv.org/abs/2410.08639
Autor:
Nigmatullin, Ramil, Hemery, Kevin, Ghanem, Khaldoon, Moses, Steven, Gresh, Dan, Siegfried, Peter, Mills, Michael, Gatterman, Thomas, Hewitt, Nathan, Granet, Etienne, Dreyer, Henrik
The utility of solving the Fermi-Hubbard model has been estimated in the billions of dollars. Digital quantum computers can in principle address this task, but have so far been limited to quasi one-dimensional models. This is because of exponential o
Externí odkaz:
http://arxiv.org/abs/2409.06789
Autor:
Granet, Etienne, Dreyer, Henrik
We provide analytic, numerical and experimental evidence that the amount of noise in digital quantum simulation of local observables can be independent of system size in a number of situations. We provide a microscopic explanation of this dilution of
Externí odkaz:
http://arxiv.org/abs/2409.04254
Despite its simplicity and strong theoretical guarantees, adiabatic state preparation has received considerably less interest than variational approaches for the preparation of low-energy electronic structure states. Two major reasons for this are th
Externí odkaz:
http://arxiv.org/abs/2407.09993
Autor:
Granet, Etienne, Dreyer, Henrik
According to the adiabatic theorem of quantum mechanics, a system initially in the ground state of a Hamiltonian remains in the ground state if one slowly changes the Hamiltonian. This can be used in principle to solve hard problems on quantum comput
Externí odkaz:
http://arxiv.org/abs/2404.16001
Autor:
Granet, Etienne, Dreyer, Henrik
It is generally considered that the signal output by a quantum circuit is attenuated exponentially fast in the number of gates. This letter explores how algorithms using mid-circuit measurements and classical conditioning as computational tools (and
Externí odkaz:
http://arxiv.org/abs/2401.02207
Autor:
Granet, Etienne, Dreyer, Henrik
Publikováno v:
npj Quantum Inf 10, 82 (2024)
We introduce an algorithm to compute Hamiltonian dynamics on digital quantum computers that requires only a finite circuit depth to reach an arbitrary precision, i.e. achieves zero discretization error with finite depth. This finite number of gates c
Externí odkaz:
http://arxiv.org/abs/2308.03694
Autor:
Zhang, Carolyn, Granet, Etienne
We consider how a maximally mixed state evolves under $(1+1)D$ Floquet non-unitary circuits with an antiunitary symmetry that squares to identity, that serves as a generalized $\mathcal{PT}$ symmetry. Upon tuning a parameter, the effective Hamiltonia
Externí odkaz:
http://arxiv.org/abs/2307.07003
Autor:
Granet, Etienne
Publikováno v:
J. Stat. Mech. (2023) 123102
We consider the 1D Tonks-Girardeau gas with a space-dependent potential out of equilibrium. We derive the exact dynamics of the system when divided into $n$ boxes and decomposed into energy eigenstates within each box. It is a representation of the w
Externí odkaz:
http://arxiv.org/abs/2303.17494
Publikováno v:
Phys. Rev. Lett. 130, 230401 (2023)
We consider Gaussian quantum circuits that alternate unitary gates and post-selected weak measurements, with spatial translation symmetry and time periodicity. We show analytically that such models can host different kinds of measurement-induced phas
Externí odkaz:
http://arxiv.org/abs/2212.10584