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Non-symmetric GHZ states ($n$-GHZ$_\alpha$), defined by unequal superpositions of $|00...0>$ and $|11...1>$, naturally emerge in experiments due to decoherence, control errors, and state preparation imperfections. Despite their relevance in…

Quantum Physics · Physics 2025-10-02 Hrachya Zakaryan , Konstantinos-Rafail Revis , Zahra Raissi

We propose a general method for preparing stabilizer states with reduced two-qubit gate count and depth compared to the state of the art. The method starts from a graph state representation of the stabilizer state and iteratively reduces…

One way quantum computing uses single qubit projective measurements performed on a cluster state (a highly entangled state of multiple qubits) in order to enact quantum gates. The model is promising due to its potential scalability; the…

Quantum Physics · Physics 2015-06-22 Raphael Pooser , Jietai Jing

Building large-scale quantum computers, essential to demonstrating quantum advantage, is a key challenge. Quantum Networks (QNs) can help address this challenge by enabling the construction of large, robust, and more capable quantum…

Quantum Physics · Physics 2025-03-20 Xiaojie Fan , Caitao Zhan , Himanshu Gupta , C. R. Ramakrishnan

The present paper is concerned with the concept of the one-way quantum computer, beyond binary-systems, and its relation to the concept of stabilizer quantum codes. This relation is exploited to analyze a particular class of quantum…

Quantum Physics · Physics 2007-05-23 Dirk Schlingemann

We theoretically investigate strategies for the deterministic creation of trains of time-bin entangled photons using an individual quantum emitter described by a $\Lambda$-type electronic system. We explicitly demonstrate the theoretical…

Quantum Physics · Physics 2024-11-27 David Bauch , Nikolas Köcher , Nils Heinisch , Stefan Schumacher

Cluster states are an essential component in one-way quantum computation protocols. We present two schemes to generate addressable continuous-variable cluster states from quadrature squeezed cylindrically polarized modes. By including…

Quantum Physics · Physics 2017-09-27 I. Rigas , C. Gabriel , S. Berg-Johansen , A. Aiello , P. van Loock , U. L. Andersen , Ch. Marquardt , G. Leuchs

We propose a novel one-way quantum repeater architecture based on photonic tree-cluster states. Encoding a qubit in a photonic tree-cluster protects the information from transmission loss and enables long-range quantum communication through…

Large-scale quantum computation is likely to require massive quantum error correction (QEC). QEC codes and circuits are described via the stabilizer formalism, which represents stabilizer states by keeping track of the operators that…

Quantum Physics · Physics 2017-11-22 Héctor J. García , Igor L. Markov , Andrew W. Cross

Given a suitably large and well connected (complex) graph state, any quantum algorithm can be implemented purely through local measurements on the individual qubits. Measurements can also be used to create the graph state: Path erasure…

Quantum Physics · Physics 2009-06-09 Earl T. Campbell , Joseph Fitzsimons , Simon C. Benjamin , Pieter Kok

Graph states -- one of the most representative families of multipartite entangled states, are important resources for multiparty quantum communication, quantum error correction, and quantum computation. Device-independent certification of…

Quantum Physics · Physics 2022-01-12 Jia-Min Xu , Qing Zhou , Yu-Xiang Yang , Zi-Mo Cheng , Xin-Yu Xu , Zhi-Cheng Ren , Xi-Lin Wang , Hui-Tian Wang

This article considers the generative modeling of the (mixed) states of quantum systems, and an approach based on denoising diffusion model is proposed. The key contribution is an algorithmic innovation that respects the physical nature of…

Quantum Physics · Physics 2024-05-28 Yuchen Zhu , Tianrong Chen , Evangelos A. Theodorou , Xie Chen , Molei Tao

Learning distributions of graphs can be used for automatic drug discovery, molecular design, complex network analysis, and much more. We present an improved framework for learning generative models of graphs based on the idea of deep state…

Machine Learning · Computer Science 2021-12-07 Julian Stier , Michael Granitzer

Multipartite entangled states are fundamental resources for multi-user quantum cryptographic tasks. Despite significant advancements in generating large-scale continuous-variable (CV) cluster states, particularly the dual-rail cluster state…

Quantum Physics · Physics 2025-09-30 Akash nag Oruganti

Graph-theoretic structures play a central role in the description and analysis of quantum systems. In this work, we introduce a new class of quantum states, called $A_\alpha$-graph states, which are constructed from either unweighted or…

Quantum Physics · Physics 2025-12-19 Rohit kumar , Satyabrata Adhikari

We propose the use of collective states of matter as a resource for the deterministic generation of quantum states of light, which are fundamental for quantum information technologies. Our minimal model consists of three emitters coupled to…

Quantum Physics · Physics 2025-08-26 Oriol Rubies-Bigorda , Stuart J. Masson , Susanne F. Yelin , Ana Asenjo-Garcia

In quantum error-correcting code (QECC), many quantum operations and measurements are necessary to correct errors in logical qubits. In the stabilizer formalism, which is widely used in QECC, generators $G_i (i=1,2,..)$ consist of multiples…

Quantum Physics · Physics 2016-01-27 Tetsufumi Tanamoto

Cluster states, a special type of highly entangled states, are a universal resource for measurement-based quantum computation. Here, we propose an efficient one-step generation scheme for cluster states in semiconductor quantum dot…

Quantum Physics · Physics 2009-11-13 Guo-Ping Guo , Hui Zhang , Tao Tu , Guang-Can Guo

Graph states are widely used in quantum information theory, including entanglement theory, quantum error correction, and one-way quantum computing. Graph states have a nice structure related to a certain graph, which is given by either a…

Quantum Physics · Physics 2015-11-20 Shawn X Cui , Nengkun Yu , Bei Zeng

A complex projective $t$-design is a configuration of vectors which is ``evenly distributed'' on a sphere in the sense that sampling uniformly from it reproduces the moments of Haar measure up to order $2t$. We show that the set of all…

Quantum Physics · Physics 2015-10-12 Richard Kueng , David Gross