In an open quantum system, the decoherence can be modeled as interactions with a large environment27. One can determine the properties of an open quantum system with the Monte Carlo wave-function method where a system is decomposed into an ensemble of pure states that evolve individually and the...
Researchers in many fields use networks to represent interactions between entities in complex systems. To study the large-scale behavior of complex systems, it is useful to examine mesoscale structures in networks as building blocks that influence such b
The California Institute of Technology (Caltech), the United States Geological Survey (USGS), and the California Department of Conservation, Division of Mines and Geology (CDMG) are completing the implementation of TriNet, a modern seism... E Hauksson,P Small,K Hafner,... - 《Seismological Re...
The Canadian medical scientist Frederick Banting is the youngest Nobel laureate in the field of Physiology/Medicine. He received the Nobel Prize for discovering insulin and its therapeutic potential. In the same year (1923), the government of Canada granted him a lifetime annuity to continue his ...
First, we show that a low-rank density matrix can be estimated using fewer copies of the state, i.e., the sample complexity of tomography decreases with the rank. Second, we show that unknown low-rank states can be reconstructed from an incomplete set of measurements, using techniques from...
the United Statesthis offseason. If he comes for the 2025 season, he would still be considered a prospect -- just like Shohei Ohtani when he came in advance of the 2018 season. Yoshinobu Yamamoto was 25 when he arrived, so he was not eligible for prospect lists. (We follow the rules ...
Then, we show how to create a positive under partial transpose entangled state from any state supported on the antisymmetric space and how their Schmidt numbers are exactly related. Finally, we show that the Schmidt number of operator Schmidt rank 3 states of \\(\\mathcal {M}_m\\otimes ...
persons who communicate with said user, a total number of persons communicating with said user; a rank of a collection of linked communications to and from said user, and a proportional distribution of prestige between the user and the collection of linked communications to and from said user. ...
Zero-site DMRG and the optimal low-rank correctionYuriel Núñez-Fernández, Gonzalo TorrobaCentro Atómico Bariloche and Instituto Balseiro, CONICET, R8402AGP, Argentina.A zero-site density matrix renormalization algorithm (DMRG0) is proposed to minimize the energy of matrixproduct states (MPS). ...
where\(A\in {{\mathbb{R}}}_{N\times N}\)is the adjacency matrix of the network\({{{\mathcal{N}}}\)and\(\big\{\alpha,\,\beta,\,\theta \in {\mathbb{R}^+}:\mathop{\lim }\limits_{t\to \infty }{{{\boldsymbol{\Gamma }}}(t)={{{\boldsymbol{\Gamma }}}\in {{\math...