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Graph codes play an important role in photonic quantum technologies as they provide significant protection against qubit loss, a dominant noise mechanism. Here, we develop methods to analyse and optimise measurement-based tolerance to qubit…

Quantum Physics · Physics 2022-12-12 Tom J. Bell , Love A. Pettersson , Stefano Paesani

We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Topologically protected quantum gates are realized by choosing appropriate boundary conditions on the cluster. We…

Quantum Physics · Physics 2007-07-24 Robert Raussendorf , Jim Harrington , Kovid Goyal

The construction of large-scale quantum computers will require modular architectures that allow physical resources to be localized in easy-to-manage packages. In this work, we examine the impact of different graph structures on the…

Measurement-based quantum computation, an alternative paradigm for quantum information processing, uses simple measurements on qubits prepared in cluster states, a class of multiparty entangled states with useful properties. Here we propose…

Quantum Physics · Physics 2019-05-01 Mikhail Mamaev , Rainer Blatt , Jun Ye , Ana Maria Rey

We propose a method to generate a two-dimensional cluster state of polarization encoded photonic qubits from two coupled quantum dot emitters. We combine the recent proposal [N. H. Lindner and T. Rudolph, Phys. Rev. Lett. 103, 113602…

Mesoscale and Nanoscale Physics · Physics 2011-03-18 Sophia E. Economou , Netanel Lindner , Terry Rudolph

We study the production of entangled two- and N-mode quantum states of light in optical waveguides. To this end, we propose a quantum photonic circuit that produces a reconfigurable superposition of photon subtraction on two single-mode…

Quantum Physics · Physics 2020-05-05 David Barral , Jesús Liñares , Daniel Balado

Graph states are versatile resources for various quantum information processing tasks, including measurement-based quantum computing and quantum repeaters. Although the type-II fusion gate enables all-optical generation of graph states by…

Quantum Physics · Physics 2023-12-25 Seok-Hyung Lee , Hyunseok Jeong

A novel scheme is presented for fault-tolerant quantum computation based on the cluster model. Some relevant logical cluster states are constructed in concatenation by post-selection through verification, without necessity of recovery…

Quantum Physics · Physics 2010-08-24 Keisuke Fujii , Katsuji Yamamoto

Graph states are a key resource for a number of applications in quantum information theory. Due to the inherent noise in noisy intermediate-scale quantum (NISQ) era devices, it is important to understand the effects noise has on the…

Quantum Physics · Physics 2026-05-27 Aqil Sajjad , Eneet Kaur , Kenneth Goodenough , Don Towsley , Saikat Guha

The class of entangled $N$-qubit states known as graph states, and the corresponding stabilizer groups of $N$-qubit Pauli observables, have found a wide range of applications in quantum information processing and the foundations of quantum…

Quantum Physics · Physics 2014-09-26 Mordecai Waegell

We investigate a scheme of fault-tolerant quantum computation based on the cluster model. Logical qubits are encoded by a suitable code such as the Steane's 7-qubit code. Cluster states of logical qubits are prepared by post-selection…

Quantum Physics · Physics 2007-05-23 Keisuke Fujii , Katsuji Yamamoto

With gate error rates in multiple technologies now below the threshold required for fault-tolerant quantum computation, the major remaining obstacle to useful quantum computation is scaling, a challenge greatly amplified by the huge…

Quantum Physics · Physics 2021-12-09 Kianna Wan , Soonwon Choi , Isaac H. Kim , Noah Shutty , Patrick Hayden

In this article we further investigate the construction of graph coherent states, first introduced in [1], in the context of loop quantum gravity. We specifically investigate the possibility of defining a family of graph coherent states…

General Relativity and Quantum Cosmology · Physics 2020-07-01 Mehdi Assanioussi

Entanglement has evolved from an enigmatic concept of quantum physics to a key ingredient of quantum technology. It explains correlations between measurement outcomes that contradict classical physics, and has been widely explored with…

Quantum Physics · Physics 2024-06-05 Philip Thomas , Leonardo Ruscio , Olivier Morin , Gerhard Rempe

Graph states are central resources for quantum information processing, supporting applications in computation, communication, and error correction. In photonic systems, they are typically assembled from smaller entangled states using…

Quantum Physics · Physics 2025-11-18 Seungbeom Chin , William John Munro

We propose an efficient method to generate cluster states in spatially separated double quantum dots with a superconducting transmission line resonator (TLR). When the detuning between the double-dot qubits transition frequency and the…

Quantum Physics · Physics 2009-11-13 Zhi-Rong Lin , Guo-Ping Guo , Tao Tu , Fei-Yun Zhu , Guang-Can Guo

We investigate protocols for generating a state $t$-design by using a fixed separable initial state and a diagonal-unitary $t$-design in the computational basis, which is a $t$-design of an ensemble of diagonal unitary matrices with random…

Quantum Physics · Physics 2014-05-27 Yoshifumi Nakata , Masato Koashi , Mio Murao

In this work, we develop an efficient decoding method for graph codes, a class of stabilizer quantum error-correcting codes constructed from graph states. While optimal decoding is generally NP-hard, we propose a faster decoder exploiting…

Quantum Physics · Physics 2026-02-17 Nirupam Basak , Goutam Paul

Graph states are an important class of multipartite entangled quantum states. We propose a new approach for distributing graph states across a quantum network. We consider a quantum network consisting of nodes-quantum computers within which…

Quantum Physics · Physics 2025-12-09 Alex Fischer , Don Towsley

Given their potential for fault-tolerant operations, topological quantum states are currently the focus of intense activity. Of particular interest are topological quantum error correction codes, such as the surface and planar stabilizer…

Quantum Physics · Physics 2021-08-04 Pengcheng Liao , David L. Feder
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