量子退火器上的二面体晶格规范理论

IF 5.8 2区 物理与天体物理 Q1 OPTICS EPJ Quantum Technology Pub Date : 2023-08-25 DOI:10.1140/epjqt/s40507-023-00188-9
Michael Fromm, Owe Philipsen, Christopher Winterowd
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引用次数: 6

摘要

研究了离散非阿贝尔规范群的格规范理论。我们将先前关于D-Wave量子退火器作为计算平台的研究的形式化推广到有限的、简单可约的规范群。作为一个例子,我们在两个斑块阶梯上使用二面体群\(D_{n}\)和\(n=3,4\),我们提供了基态的原理证明计算,并采用已知的时间演化形式与费曼时钟状态。
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Dihedral lattice gauge theories on a quantum annealer

We study lattice gauge theory with discrete, non-Abelian gauge groups. We extend the formalism of previous studies on D-Wave’s quantum annealer as a computing platform to finite, simply reducible gauge groups. As an example, we use the dihedral group \(D_{n}\) with \(n=3,4\) on a two plaquette ladder for which we provide proof-of-principle calculations of the ground-state and employ the known time evolution formalism with Feynman clock states.

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来源期刊
EPJ Quantum Technology
EPJ Quantum Technology Physics and Astronomy-Atomic and Molecular Physics, and Optics
CiteScore
7.70
自引率
7.50%
发文量
28
审稿时长
71 days
期刊介绍: Driven by advances in technology and experimental capability, the last decade has seen the emergence of quantum technology: a new praxis for controlling the quantum world. It is now possible to engineer complex, multi-component systems that merge the once distinct fields of quantum optics and condensed matter physics. EPJ Quantum Technology covers theoretical and experimental advances in subjects including but not limited to the following: Quantum measurement, metrology and lithography Quantum complex systems, networks and cellular automata Quantum electromechanical systems Quantum optomechanical systems Quantum machines, engineering and nanorobotics Quantum control theory Quantum information, communication and computation Quantum thermodynamics Quantum metamaterials The effect of Casimir forces on micro- and nano-electromechanical systems Quantum biology Quantum sensing Hybrid quantum systems Quantum simulations.
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