Zobrazeno 1 - 10
of 248
pro vyhledávání: '"Arthur Jaffe"'
Publikováno v:
npj Quantum Information, Vol 10, Iss 1, Pp 1-7 (2024)
Abstract Classical shadows provide a noise-resilient and sample-efficient method for learning quantum system properties, relying on a user-specified unitary ensemble. What is the weakest assumption on this ensemble that can still yield meaningful res
Externí odkaz:
https://doaj.org/article/5036a8f5f0944fbeaccf6a32493945b7
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 1, Pp 1-79 (2023)
Abstract The existence of barren plateaus has recently revealed new training challenges in quantum machine learning (QML). Uncovering the mechanisms behind barren plateaus is essential in understanding the scope of problems that QML can efficiently t
Externí odkaz:
https://doaj.org/article/7e36d0915e624e3b9ae8b0d101519a2e
Publikováno v:
Journal of High Energy Physics, Vol 2022, Iss 3, Pp 1-40 (2022)
Abstract We quantify the role of scrambling in quantum machine learning. We characterize a quantum neural network’s (QNNs) error in terms of the network’s scrambling properties via the out-of-time-ordered correlator (OTOC). A network can be train
Externí odkaz:
https://doaj.org/article/38f064d70e914b49948f4a660d7d69b3
Publikováno v:
Physical Review Research, Vol 3, Iss 3, p 033155 (2021)
Quantum dynamics is of fundamental interest and has implications in quantum information processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to quantify quantum information scrambling under many-body dynamics. Due to
Externí odkaz:
https://doaj.org/article/802ba5bb817c4c738efe0888f43d4da1
Autor:
Arthur Jaffe
Publikováno v:
Nuclear Physics B, Vol 912, Iss C, Pp 22-24 (2016)
The marvelous Les Houches summer school of 1970 bore the trademark of Raymond Stora.
Externí odkaz:
https://doaj.org/article/85b4a8f9ee2f4401857f66ee709306f5
Publikováno v:
New Journal of Physics, Vol 19, Iss 6, p 063016 (2017)
We give a topological simulation for tensor networks that we call the two-string model . In this approach we give a new way to design protocols, and we discover a new multipartite quantum communication protocol. We introduce the notion of topological
Externí odkaz:
https://doaj.org/article/bfeafbc124564907b9e9184a8793133f
Autor:
Zhengwei Liu, Arthur Jaffe
Publikováno v:
Expositiones Mathematicae. 38:202-216
We give a transparent algebraic formulation of our pictorial approach to the reflection positivity (RP), that we introduced in a previous paper. We apply this quantization to the 2 + 1 Levin–Wen model to obtain 1 + 1 anyonic/quantum spin chain theo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::486db8cc9062147f58f9e38ecf61b458
https://doi.org/10.1016/j.exmath.2020.06.001
https://doi.org/10.1016/j.exmath.2020.06.001
Publikováno v:
Science China Mathematics. 63:1613-1626
We study a new set of duality relations between weighted, combinatoric invariants of a graph G. The dualities arise from a non-linear transform $$\mathcal{B}$$ , acting on the weight function p. We define $$\mathcal{B}$$ on a space of real-valued fun
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::473adf629503e75124a4b5be996ac2a2
https://doi.org/10.1007/s11425-018-9563-3
https://doi.org/10.1007/s11425-018-9563-3
Publikováno v:
Communications in Mathematical Physics. 373:435-456
The classical de Finetti theorem in probability theory relates symmetry under the permutation group with the independence of random variables. This result has application in quantum information. Here we study states that are invariant with respect to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1533d182b426d3abf261da77eda015b0
https://doi.org/10.1007/s00220-019-03579-1
https://doi.org/10.1007/s00220-019-03579-1
Publikováno v:
Oberwolfach Reports. 14:3263-3343
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e75359f039204c634dc81a3eca5257d6
https://doi.org/10.4171/owr/2017/55
https://doi.org/10.4171/owr/2017/55