Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Kaifeng Bu"'
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
Autor:
Kaifeng Bu, Tianzhu Xiong
Ancestry tracts are contiguous haplotype blocks inherited from distinct groups of common ancestors. The genomic distribution of ancestry tracts (or local ancestry) provides rich information about evolutionary mechanisms shaping the genetic compositio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e0f82d87851f3faa4157134244717d93
https://doi.org/10.1101/2023.02.12.528199
https://doi.org/10.1101/2023.02.12.528199
Autor:
Kaifeng Bu, Dax Enshan Koh
Publikováno v:
Communications in Mathematical Physics. 390:471-500
We give an efficient algorithm to evaluate a certain class of exponential sums, namely the periodic, quadratic, multivariate half Gauss sums. We show that these exponential sums become $\#\mathsf{P}$-hard to compute when we omit either the periodicit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7c2f534aefcb53f4b443c6689fdb783
https://doi.org/10.1007/s00220-022-04320-1
https://doi.org/10.1007/s00220-022-04320-1
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America; 6/20/2023, Vol. 120 Issue 25, p1-9, 9p
Publikováno v:
Physical Review A. 105
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3cb92275e949fb5ffb7f6e743fde5a5a
https://doi.org/10.1103/physreva.105.062431
https://doi.org/10.1103/physreva.105.062431
Publikováno v:
Quantum Science and Technology. 8:025013
We investigate how the addition of quantum resources changes the statistical complexity of quantum circuits by utilizing the framework of quantum resource theories. Measures of statistical complexity that we consider include the Rademacher complexity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::739bda7b71b6882e57ab9bf93f2c775e
https://doi.org/10.1088/2058-9565/acb56a
https://doi.org/10.1088/2058-9565/acb56a
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America; 4/25/2023, Vol. 120 Issue 17, p1-6, 6p
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