Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Nicholas Hunter-Jones"'
Autor:
Jordan Cotler, Nicholas Hunter-Jones
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 12, Pp 1-62 (2020)
Abstract We argue that in a large class of disordered quantum many-body systems, the late time dynamics of time-dependent correlation functions is captured by random matrix theory, specifically the energy eigenvalue statistics of the corresponding en
Externí odkaz:
https://doaj.org/article/0467335781c84dad8787d118ddccfc70
Publikováno v:
PRX Quantum, Vol 3, Iss 1, p 010333 (2022)
We consider quantum circuits consisting of randomly chosen two-local gates and study the number of gates needed for the distribution over measurement outcomes for typical circuit instances to be anticoncentrated, roughly meaning that the probability
Externí odkaz:
https://doaj.org/article/4c57d7a11f79430d91c8ed6fbef65db4
Autor:
Nicholas Hunter-Jones, Junyu Liu
Publikováno v:
Journal of High Energy Physics, Vol 2018, Iss 5, Pp 1-26 (2018)
Abstract We use random matrix theory to explore late-time chaos in supersymmetric quantum mechanical systems. Motivated by the recent study of supersymmetric SYK models and their random matrix classification, we consider the Wishart-Laguerre unitary
Externí odkaz:
https://doaj.org/article/f2c702ad6e4c4fd5a8ddb7df09f691e5
Publikováno v:
Journal of High Energy Physics, Vol 2018, Iss 2, Pp 1-24 (2018)
Abstract The eigenstate thermalization hypothesis is a compelling conjecture which strives to explain the apparent thermal behavior of generic observables in closed quantum systems. Although we are far from a complete analytic understanding, quantum
Externí odkaz:
https://doaj.org/article/b28f0b9b16cb41c7bc88b8ea3d360665
Publikováno v:
Journal of High Energy Physics, Vol 2017, Iss 11, Pp 1-60 (2017)
Abstract Chaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time evolution by Gaussian Unitary Ensemble (GUE) Hamiltonians and
Externí odkaz:
https://doaj.org/article/de31224901534c3bad727ddf4d18dc1e
Autor:
Fernando G.S.L. Brandão, Wissam Chemissany, Nicholas Hunter-Jones, Richard Kueng, John Preskill
Publikováno v:
PRX Quantum, Vol 2, Iss 3, p 030316 (2021)
The concept of quantum complexity has far-reaching implications spanning theoretical computer science, quantum many-body physics, and high-energy physics. The quantum complexity of a unitary transformation or quantum state is defined as the size of t
Externí odkaz:
https://doaj.org/article/2aa33215ff454cf1a8f50cac17c29374
Autor:
Nicholas Hunter-Jones, Jonas Haferkamp
Random quantum circuits are a central concept in quantum information theory with applications ranging from demonstrations of quantum computational advantage to descriptions of scrambling in strongly-interacting systems and black holes. The utility of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::509584aa00e1f75a075fc9e6b45f3b2f
http://www.helmholtz-berlin.de/pubbin/oai_publication?VT=1&ID=105283
http://www.helmholtz-berlin.de/pubbin/oai_publication?VT=1&ID=105283
We consider quantum circuits consisting of randomly chosen two-local gates and study the number of gates needed for the distribution over measurement outcomes for typical circuit instances to be anti-concentrated, roughly meaning that the probability
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b4d118bd33a6bfb8915a516d573b062
http://arxiv.org/abs/2011.12277
http://arxiv.org/abs/2011.12277
Publikováno v:
Journal of High Energy Physics, Vol 2017, Iss 11, Pp 1-60 (2017)
Journal of High Energy Physics
Journal of High Energy Physics
Chaos and complexity entail an entropic and computational obstruction to describing a system, and thus are intrinsically difficult to characterize. In this paper, we consider time evolution by Gaussian Unitary Ensemble (GUE) Hamiltonians and analytic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3a27c7a6bd48d47ec600dd9f0f4584d9
http://link.springer.com/article/10.1007/JHEP11(2017)048
http://link.springer.com/article/10.1007/JHEP11(2017)048
We study the fluctuations of subsystem entropies in closed quantum many-body systems after thermalization. Using a combination of analytics and numerics for both random quantum circuits and Hamiltonian dynamics, we find that the statistics of such en
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e1646cf35e2fbe05fdf18a385b5bd76