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The formation, movement and gluing of clusters can be described through a system of non local balance laws. Here, the well posedness of this system is obtained, as well as various stability estimates. Remarkably, qualitative properties of…

Analysis of PDEs · Mathematics 2024-10-15 Rinaldo M. Colombo , Mauro Garavello

A method for generating a mesoscopic superposition state of the collective spin variable of a gas of atoms is proposed. The state consists of a superposition of the atomic spins pointing in two slightly different directions. It is obtained…

Quantum Physics · Physics 2009-11-10 S. Massar , E. S. Polzik

Implementing quantum algorithms is essential for quantum computation. We study the implementation of three quantum algorithms by performing homodyne measurements on a two-dimensional temporal continuous-variable cluster state. We first…

Spectral clustering is one of the most popular clustering methods. However, the high computational cost due to the involved eigen-decomposition procedure can immediately hinder its applications in large-scale tasks. In this paper we use…

Machine Learning · Computer Science 2023-01-24 Yongyu Wang

Reconstruction based subspace clustering methods compute a self reconstruction matrix over the samples and use it for spectral clustering to obtain the final clustering result. Their success largely relies on the assumption that the…

Machine Learning · Computer Science 2012-06-22 Ruijiang Li , Bin Li , Ke Zhang , Cheng Jin , Xiangyang Xue

Feasible tomography schemes for large particle numbers must possess, besides an appropriate data acquisition protocol, also an efficient way to reconstruct the density operator from the observed finite data set. Since state reconstruction…

Defining a computational basis of pseudo-number states, we interpret a coherent state of large amplitude, $|\alpha|\gg\frac{d}{2\pi}$, as a qudit --- a $d$-level quantum system --- in a state that is an even superposition of $d$…

Quantum Physics · Physics 2010-12-30 Jaewan Kim , Juhui Lee , Se-Wan Ji , Hyunchul Nha , Petr M. Anisimov , Jonathan P. Dowling

Entangled photon states are a fundamental resource for optical quantum technologies and investigating the fundamental predictions of quantum mechanics. Up to now such states are mainly generated in macroscopic nonlinear optical systems with…

Entangled multi-qubit states are an essential resource for quantum information and computation. Solid-state emitters can mediate interactions between subsequently emitted photons via their spin, thus offering a route towards generating…

Quantum Physics · Physics 2018-08-22 Dale Scerri , Ralph N. E. Malein , Brian D. Gerardot , Erik M. Gauger

Cluster states, a type of highly entangled state, are essential resources for quantum information processing. Here we demonstrated the generation of a time-domain linear cluster state (t-LCS) using a superconducting quantum circuit…

Quantum Physics · Physics 2023-02-14 Shotaro Shirai , Yu Zhou , Keiichi Sakata , Hiroto Mukai , Jaw-Shen Tsai

We propose a method for the programmable generation of time-frequency mode (TFM) encoded quantum states of light on the silicon-on-insulator (SOI) platform. The state generator consists of an N-tap finite impulse response filter and a…

Quantum Physics · Physics 2025-04-15 Liao Ye , Haoran Ma , Fanjie Ruan , Yuehai Wang , Jianyi Yang

We propose a scheme to implement a two-qubit controlled-phase gate for single atomic qubits, which works in principle with nearly ideal success probability and fidelity. Our scheme is based on the cavity input-output process and the single…

Quantum Physics · Physics 2007-11-08 Jaeyoon Cho , Hai-Woong Lee

Symmetrization of topologically ordered wavefunctions is a powerful method for constructing new topological models. Here, we study wavefunctions obtained by symmetrizing quantum double models of a group $G$ in the Projected Entangled Pair…

Strongly Correlated Electrons · Physics 2016-10-06 Carlos Fernandez-Gonzalez , Roger S. K. Mong , Olivier Landon-Cardinal , David Perez-Garcia , Norbert Schuch

We propose a scalable approach to building cluster states of matter qubits using coherent states of light. Recent work on the subject relies on the use of single photonic qubits in the measurement process. These schemes have a low initial…

Quantum Physics · Physics 2009-11-13 Sebastien G. R. Louis , Kae Nemoto , W. J. Munro , T. P. Spiller

We create a six-qubit linear cluster state by transforming a two-photon hyperentangled state in which three qubits are encoded in each particle, one in the polarization and two in the linear momentum degrees of freedom. For this state, we…

Quantum Physics · Physics 2009-10-19 Raino Ceccarelli , Giuseppe Vallone , Francesco De Martini , Paolo Mataloni , Adan Cabello

Generating nonclassical states of photons such as polarization entangled states on a monolithic chip is a crucial step towards practical applications of optical quantum information processing such as quantum computing and quantum key…

Quantum Physics · Physics 2021-12-30 Dongpeng Kang , Minseok Kim , Haoyu He , Amr S. Helmy

A scheme for the generation of the cluster states based on the Josephson charge qubit is proposed. The two-qubit generating case is first introduced, and then generalized to multi-qubit case. The scheme is simple and easily manipulated,…

Quantum Physics · Physics 2008-04-01 Xiao-Hu Zheng , Ping Dong , Zheng-Yuan Xue , Zhuo-Liang Cao

A new method for generating entangled photons with controllable frequency correlation via spontaneous parametric down-conversion (SPDC) is presented. The method entails initiating counter-propagating SPDC in a single-mode nonlinear…

Quantum state preparation is a fundamental component of quantum algorithms, particularly in quantum machine learning and data processing, where classical data must be encoded efficiently into quantum states. Existing amplitude encoding…

Quantum Physics · Physics 2026-02-11 Carsten Blank , Israel F. Araujo

An interesting aspect of multipartite entanglement is that for perfect teleportation and superdense coding, not the maximally entangled W states but a special class of non-maximally entangled W-like states are required. Therefore, efficient…

Quantum Physics · Physics 2016-02-17 Ke Li , Fan-Zhen Kong , Ming Yang , Fatih Ozaydin , Qing Yang , Zhuo-Liang Cao
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