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We present an experimentally implementable method to couple Josephson charge qubits and to generate and detect macroscopic entangled states. A large-junction superconducting quantum interference device is used in the qubit circuit for both…

Superconductivity · Physics 2009-11-10 J. Q. You , J. S. Tsai , Franco Nori

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…

Quantum computers have recently made great strides and are on a long-term path towards useful fault-tolerant computation. A dominant overhead in fault-tolerant quantum computation is the production of high-fidelity encoded qubits, called…

Graph states represent a significant class of multi-partite entangled quantum states with applications in quantum error correction, quantum communication, and quantum computation. In this work, we introduce a novel formalism called the…

Quantum Physics · Physics 2025-07-16 Sameer Sharma

Graph states possess significant practical value in measurement-based quantum computation, with complete graph states that exhibit exceptional performance in quantum metrology. In this work, we introduce a method for generating…

Quantum Physics · Physics 2024-04-09 X. X. Li , D. X. Li , X. Q. Shao

Deciding if a given family of quantum states is topologically ordered is an important but nontrivial problem in condensed matter physics and quantum information theory. We derive necessary and sufficient conditions for a family of graph…

Quantum Physics · Physics 2022-09-09 Pengcheng Liao , Barry C. Sanders , David L. Feder

The superconducting phase qubit combines Josephson junctions into superconducting loops and defines one of the promising solid state device implementations for quantum computing. While conventional designs are based on magnetically…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 G. Blatter , V. B. Geshkenbein , L. Ioffe

Random quantum circuits take an input quantum state and randomize it. This is a task with a growing number of identified uses in quantum information processing. We suggest a scheme to implement random circuits in a weighted graph state. The…

Quantum Physics · Physics 2009-11-13 A. Douglas K. Plato , Oscar C. Dahlsten , Martin B. Plenio

In this book chapter, we introduce different schemes to create quantum states of matter in engineered graphene nanoribbons. We will focus on the emergence of controllable magnetic interactions, topological quantum magnets, and the interplay…

Mesoscale and Nanoscale Physics · Physics 2019-11-20 J. L. Lado , R. Ortiz , J. Fernandez-Rossier

We present protocols to generate arbitrary photonic graph states from quantum emitters that are in principle deterministic. We focus primarily on two-dimensional cluster states of arbitrary size due to their importance for measurement-based…

Quantum Physics · Physics 2019-05-14 Antonio Russo , Edwin Barnes , Sophia E. Economou

We present a novel way to manipulate ultra-cold atoms where four atomic levels are trapped by appropriately tuned optical lattices. When employed to perform quantum computation via global control, this unique structure dramatically reduces…

Quantum Physics · Physics 2013-05-29 Alastair Kay , Jiannis K. Pachos , Charles S. Adams

Graph states are the backbone of measurement-based continuous-variable quantum computation. However, experimental realisations of these states induce Gaussian measurement statistics for the field quadratures, which poses a barrier to obtain…

Quantum Physics · Physics 2018-11-30 Mattia Walschaers , Supratik Sarkar , Valentina Parigi , Nicolas Treps

By encoding logical qubits into specific types of photonic graph states, one can realize quantum repeaters that enable fast entanglement distribution rates approaching classical communication. However, the generation of these photonic graph…

Quantum Physics · Physics 2023-02-22 Yuan Zhan , Paul Hilaire , Edwin Barnes , Sophia E. Economou , Shuo Sun

Photonic graph states are important for measurement- and fusion-based quantum computing, quantum networks, and sensing. They can in principle be generated deterministically by using emitters to create the requisite entanglement. Finding…

Quantum Physics · Physics 2024-07-23 Evangelia Takou , Edwin Barnes , Sophia E. Economou

While Ising-type interactions are ideal for implementing controlled phase flip gates in one-way quantum computing, natural interactions between solid-state qubits are most often described by either the XY or the Heisenberg models. We show…

Mesoscale and Nanoscale Physics · Physics 2014-01-08 Tetsufumi Tanamoto , Yu-xi Liu , Xuedong Hu , Franco Nori

As quantum computing technology slowly matures and the number of available qubits on a QPU gradually increases, interest in assessing the capabilities of quantum computing hardware in a scalable manner is growing. One of the key properties…

Quantum Physics · Physics 2024-02-02 René Zander , Colin Kai-Uwe Becker

At the center of quantum computing1 realization is the physical implementation of qubits - two-state quantum information units. The rise of graphene2 has opened a new door to the implementation. Because graphene electrons simulate…

Mesoscale and Nanoscale Physics · Physics 2015-05-27 G. Y. Wu , N. -Y. Lue , L. Chang

Graph states are a key resource for measurement-based quantum computation and quantum networking, but state-preparation costs limit their practical use. Graph states related by local complement (LC) operations are equivalent up to…

Quantum Physics · Physics 2026-04-01 Nicholas Connolly , Shin Nishio , Dan E. Browne , William John Munro , Kae Nemoto

Probing techniques with spatial resolution have the potential to lead to a better understanding of the microscopic physical processes and to novel routes for manipulating nanostructures. We present scanning-gate images of a graphene quantum…

Mesoscale and Nanoscale Physics · Physics 2012-06-13 S. Schnez , J. Güttinger , M. Huefner , C. Stampfer , K. Ensslin , T. Ihn

For a set of quantum states generated by the action of a group, we consider the graph obtained by considering two group elements adjacent whenever the corresponding states are non-orthogonal. We analyze the structure of the connected…

Quantum Physics · Physics 2013-09-03 Giulio Chiribella , Yuxiang Yang