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An entangled state is said to be $m$-uniform if the reduced density matrix of any $m$ qubits is maximally mixed. This is intimately linked to pure quantum error correction codes (QECCs), which allow not only to correct errors, but also to…

Quantum Physics · Physics 2023-09-01 Sowrabh Sudevan , Daniel Azses , Emanuele G. Dalla Torre , Eran Sela , Sourin Das

In this paper we utilize superoperator formalism to explore the entanglement evolution of four-qubit cluster states in a number of decohering environments. A four-qubit cluster state is a resource for the performance of an arbitrary single…

Quantum Physics · Physics 2015-05-20 Yaakov S. Weinstein , Jay Feldman , Jacob Robins , Jason Zukus , Gerald Gilbert

Cluster states for measurement-based quantum computing can be created with entangling operations of arbitrary low success probability. This will place a lower bound on the minimum lifetime of the qubits used in the implementation. Here, we…

Quantum Physics · Physics 2013-12-17 Joshua M. Waddington , Joshua A. Kettlewell , Pieter Kok

Cluster states are a useful resource in quantum computation, and can be generated by applying entangling gates between next-neighbor qubits. Heralded entangling gates offer the advantage of high post-selected fidelity, and can be used to…

Quantum Physics · Physics 2025-07-29 Luke M. Stewart , Gefen Baranes , Joshua Ramette , Josiah Sinclair , Vladan Vuletić

Experimental detection of entanglement in superconducting qubits has been mostly limited, for more than two qubits, to witness-based and related approaches that can certify the presence of some entanglement, but not rigorously quantify how…

Quantum Physics · Physics 2018-08-16 Amara Katabarwa , Michael R. Geller

We present a closest separable state to cluster states. We start by considering linear cluster chains and extend our method to cluster states that can be used as a universal resource in quantum computation. We reproduce known results for…

Quantum Physics · Physics 2013-03-04 Michal Hajdusek , Vlatko Vedral

The size of the Hilbert space for a multiqubit state scales exponentially with the number of constituent qubits. Often this leads to a similar exponential scaling of the experimental resources required to characterize the state. Contrary to…

Quantum Physics · Physics 2024-05-06 Konstantin Tiurev , Anders S. Sørensen

Measurement-based quantum computing (MBQC) is a model of quantum computing that proceeds by sequential measurements of individual spins in an entangled resource state. However, it remains a challenge to produce efficiently such resource…

Quantum Physics · Physics 2015-06-03 Leong Chuan Kwek , Zhaohui Wei , Bei Zeng

Entanglement is widely believed to lie at the heart of the advantages offered by a quantum computer. This belief is supported by the discovery that a noiseless (pure) state quantum computer must generate a large amount of entanglement in…

Quantum Physics · Physics 2008-11-16 B. P. Lanyon , M. Barbieri , M. P. Almeida , A. G. White

Entangled multi-qubit states may be generated through a dispersive collective QND measurement of superconducting qubits coupled to a microwave transmission line resonator. Using the quantum trajectory approach, we analyze the stochastic…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Ferdinand Helmer , Florian Marquardt

We consider entanglement-based quantum networks, where multipartite entangled resource states are distributed and stored among the nodes and locally manipulated upon request to establish the desired target configuration. Separating the…

Quantum Physics · Physics 2024-08-29 Maria Flors Mor-Ruiz , Wolfgang Dür

Measurement based quantum computation (MBQC) is an effective paradigm for universal quantum computation. In this scheme, the universal set of quantum gates are realized by only local measurements on the prior prepared cluster states. The…

Quantum Physics · Physics 2013-11-26 Ding Zhong , Jian Wang , Ning Dai , Liang-Zhu Mu , Heng Fan

Harnessing quantum mechanics properties, quantum computers have the potential to outperform classical computers in many applications and are envisioned to affect various aspects of our society. Different approaches are being explored for…

Quantum Physics · Physics 2025-07-02 Muhammad Kashif , Saif Al-Kuwari

Measurement-based quantum computation (MQC) is a paradigm for studying quantum computation using many-body entanglement and single-qubit measurements. While MQC has inspired wide-ranging discoveries throughout quantum information, our…

Quantum Physics · Physics 2016-11-28 Jacob Miller , Akimasa Miyake

We experimentally demonstrate a simple scheme for generating a four-photon entangled cluster state with fidelity over 0.860 $\pm$ 0.015. We show that the fidelity is high enough to guarantee that the produced state is distinguished from…

Quantum Physics · Physics 2009-11-13 Yuuki Tokunaga , Shin Kuwashiro , Takashi Yamamoto , Masato Koashi , Nobuyuki Imoto

The cluster state, the highly entangled state that is the central resource for one-way quantum computing, can be efficiently generated in a variety of physical implementations via global nearest-neighbor interactions. In practice, a…

Quantum Physics · Physics 2008-03-10 Michael C. Garrett , David L. Feder

Measurement-based quantum computation offers exponential computational speed-up via simple measurements on a large entangled cluster state. We propose and demonstrate a scalable scheme for the generation of photonic cluster states suitable…

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

Quantum computers can revolutionize science and technology, but their realization remains challenging across all platforms. A promising route to scalability is photonic measurement-based quantum computation, where single-qubit measurements…

Quantum Physics · Physics 2024-09-17 Ohad Lib , Yaron Bromberg

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 can be made robust…

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