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Topological measurement-based quantum computation (MBQC) enables one to carry out universal fault-tolerant quantum computation via single-qubit Pauli measurements with a family of large entangled states called cluster states as resources.…

Quantum Physics · Physics 2022-01-06 Seok-Hyung Lee , Hyunseok Jeong

Cluster states can be used to perform measurement-based quantum computation. The cluster state is a useful resource, because once it has been generated only local operations and measurements are needed to perform universal quantum…

Quantum Physics · Physics 2023-04-21 Katherine L. Brown , Dominic Horsman , Viv Kendon , William J. Munro

We propose an all-linear-optical scheme to ballistically generate a cluster state for measurement-based topological fault-tolerant quantum computation using hybrid photonic qubits entangled in a continuous-discrete domain. Availability of…

Quantum Physics · Physics 2020-08-12 S. Omkar , Y. S. Teo , H. Jeong

The measurement based, or one-way, model of quantum computation for continuous variables uses a highly entangled state called a cluster state to accomplish the task of computing. Cluster states that are universal for computation are a…

Quantum Physics · Physics 2019-12-11 Darren W. Moore

We propose a scheme to generate cluster states of atomic qubits by using cavity quantum electrodynamics (QED) and linear optics, in which each atom is confined in a resonant optical cavity with two orthogonally polarized modes. Our scheme…

Quantum Physics · Physics 2007-05-23 X. L. Zhang , K. L. Gao , M. Feng

Bosonic codes have seen a resurgence in interest for applications as varied as fault tolerant quantum architectures, quantum enhanced sensing, and entanglement distribution. Cat codes have been proposed as low-level elements in larger…

Quantum Physics · Physics 2026-04-29 Michael Hanks , Soovin Lee , Nicolo Lo Piparo , Shin Nishio , William J. Munro , Kae Nemoto , M. S. Kim

The concrete schemes to realize three types of basic quantum logical gates using linear quadripartite cluster states of optical continuous variables are proposed. The influences of noises and finite squeezing on the computation precision…

Quantum Physics · Physics 2015-05-13 Aihong Tan , Changde Xie , Kunchi Peng

It has recently been established that cluster-like states -- states that are in the same symmetry-protected topological phase as the cluster state -- provide a family of resource states that can be utilized for Measurement-Based Quantum…

Quantum Physics · Physics 2022-08-24 Nathanan Tantivasadakarn , Ashvin Vishwanath

We present a compact experimental design for producing an arbitrarily large optical continuous-variable cluster state using just one single-mode vacuum squeezer and one quantum nondemolition gate. Generating the cluster state and computing…

Quantum Physics · Physics 2010-06-24 Nicolas C. Menicucci , Xian Ma , Timothy C. Ralph

We propose a scalable way to construct a 3D cluster state for fault-tolerant topological one-way computation (TOWC) even if the entangling two-qubit gates succeed with a small probability. It is shown that fault-tolerant TOWC can be…

Quantum Physics · Physics 2010-12-23 Keisuke Fujii , Yuuki Tokunaga

One of the key ingredients of many LOCC protocols in quantum information is a multiparticle (locally) maximally entangled quantum state, aka a critical state, that possesses local symmetries. We show how to design critical states with…

Quantum Physics · Physics 2021-05-04 Oskar Słowik , Adam Sawicki , Tomasz Maciążek

We propose an experimental design for universal continuous-variable quantum computation that incorporates recent innovations in linear-optics-based continuous-variable cluster state generation and cubic-phase gate teleportation. The first…

Quantum Physics · Physics 2018-03-16 Rafael N. Alexander , Shota Yokoyama , Akira Furusawa , Nicolas C. Menicucci

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…

Controlled quantum teleportation of superposed coherent states using GHZ entangled 3-mode coherent states is studied. Proposed scheme can be implemented experimentally using linear optical components such as a symmetric lossless beam…

Quantum Physics · Physics 2019-04-29 Ravi Kamal Pandey , Ranjana Prakash , Hari Prakash

Topological error correction provides an effective method to correct errors in quantum computation. It allows quantum computation to be implemented with higher error threshold and high tolerating loss rates. We present a topological a error…

Quantum Physics · Physics 2021-05-19 Shuhong Hao , Meihong Wang , Dong Wang , Xiaolong Su

The cluster state quantum computation is a versatile approach to build a scalable quantum computer. In this thesis we theoretically demonstrate that a one dimensional array of double quantum dots with long spin relaxation time can evolve to…

Strongly Correlated Electrons · Physics 2009-12-14 M. M. Aghili Yajadda

We propose {\it measurement-producing hierarchy} emerging among correlated states by sequential subsystem projective measurements. We start from symmetry-protected-topological (SPT) cluster states with a large symmetry and apply sequential…

Statistical Mechanics · Physics 2024-09-26 Yoshihito Kuno , Takahiro Orito , Ikuo Ichinose

Providing situational awareness in light of severe coordinated cyber-attacks on power grids, where many measurements may be untrusted, is necessary for reliable monitoring and resilient operation of the grid. In this scenario, the set of…

Systems and Control · Electrical Eng. & Systems 2020-04-13 Ana Jevtić , Marija Ilić

Photonic cluster states are a powerful resource for measurement-based quantum computing and loss-tolerant quantum communication. Proposals to generate multi-dimensional lattice cluster states have identified coupled spin-photon interfaces,…

Verification and characterisation of quantum states are crucial for the implementation of quantum information processing, especially for many-body systems such as cluster states in optical lattices. In theory, it is simple to estimate the…

Quantum Physics · Physics 2015-07-17 Kaila C. S. Hall , Daniel K. L. Oi