Quantum Simulation
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TLDR
The main theoretical and experimental aspects of quantum simulation have been discussed in this article, and some of the challenges and promises of this fast-growing field have also been highlighted in this review.Abstract:
Simulating quantum mechanics is known to be a difficult computational problem, especially when dealing with large systems However, this difficulty may be overcome by using some controllable quantum system to study another less controllable or accessible quantum system, ie, quantum simulation Quantum simulation promises to have applications in the study of many problems in, eg, condensed-matter physics, high-energy physics, atomic physics, quantum chemistry and cosmology Quantum simulation could be implemented using quantum computers, but also with simpler, analog devices that would require less control, and therefore, would be easier to construct A number of quantum systems such as neutral atoms, ions, polar molecules, electrons in semiconductors, superconducting circuits, nuclear spins and photons have been proposed as quantum simulators This review outlines the main theoretical and experimental aspects of quantum simulation and emphasizes some of the challenges and promises of this fast-growing fieldread more
Citations
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Simulation of Hubbard model physics in WSe 2/WS 2 moiré superlattices
Yanhao Tang,Lizhong Li,Tingxin Li,Yang Xu,Song Liu,Katayun Barmak,Kenji Watanabe,Takashi Taniguchi,Allan H. MacDonald,Jie Shan,Kin Fai Mak +10 more
TL;DR: A new solid-state platform based on moiré superlattices that can be used to simulate problems in strong-correlation physics that are described by triangular-lattice Hubbard models is established.
Journal ArticleDOI
Quantum optimization using variational algorithms on near-term quantum devices
Nikolaj Moll,Panagiotis Kl. Barkoutsos,Lev S. Bishop,Jerry M. Chow,Andrew W. Cross,Daniel J. Egger,Stefan Filipp,Andreas Fuhrer,Jay M. Gambetta,Marc Ganzhorn,Abhinav Kandala,Antonio Mezzacapo,Peter Müller,Walter Riess,Gian Salis,John A. Smolin,Ivano Tavernelli,Kristan Temme +17 more
TL;DR: In this article, a general description of variational algorithms is provided and the mapping from fermions to qubits is explained, and simple error-mitigation schemes are introduced that could improve the accuracy of determining ground-state energies.
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Optimal Hamiltonian Simulation by Quantum Signal Processing.
Guang Hao Low,Isaac L. Chuang +1 more
TL;DR: It is argued that physical intuition can lead to optimal simulation methods by showing that a focus on simple single-qubit rotations elegantly furnishes an optimal algorithm for Hamiltonian simulation, a universal problem that encapsulates all the power of quantum computation.
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Quantum spin dynamics and entanglement generation with hundreds of trapped ions
Justin G. Bohnet,Brian C. Sawyer,Brian C. Sawyer,Joseph W. Britton,Joseph W. Britton,Michael L. Wall,Ana Maria Rey,Michael Foss-Feig,Michael Foss-Feig,John J. Bollinger +9 more
TL;DR: It is shown that a two-dimensional “crystal” of around 200 9Be+ ions held together by magnetic and electric fields in a so-called Penning trap can simulate quantum magnetism, which sets the stage for simulations with more complicated forms of interaction that classical computers would find intractable.
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Many-body physics with individually controlled Rydberg atoms
Antoine Browaeys,Thierry Lahaye +1 more
TL;DR: In this paper, the authors review the techniques necessary for the manipulation of neutral atoms for the purpose of quantum simulation and explain how the different types of interactions between Rydberg atoms allow a natural mapping onto various quantum spin models.
References
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Many-Body Physics with Ultracold Gases
TL;DR: In this article, a review of recent experimental and theoretical progress concerning many-body phenomena in dilute, ultracold gases is presented, focusing on effects beyond standard weakcoupling descriptions, such as the Mott-Hubbard transition in optical lattices, strongly interacting gases in one and two dimensions, or lowest-Landau-level physics in quasi-two-dimensional gases in fast rotation.
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The quantum internet
TL;DR: In this paper, the authors proposed a method for quantum interconnects, which convert quantum states from one physical system to those of another in a reversible manner, allowing the distribution of entanglement across the network and teleportation of quantum states between nodes.
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Quantum Phase Transition From a Superfluid to a Mott Insulator in a Gas of Ultracold Atoms
TL;DR: This work observes a quantum phase transition in a Bose–Einstein condensate with repulsive interactions, held in a three-dimensional optical lattice potential, and can induce reversible changes between the two ground states of the system.
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Cold Bosonic Atoms in Optical Lattices
Dieter Jaksch,Dieter Jaksch,Christoph Bruder,Christoph Bruder,J. I. Cirac,J. I. Cirac,Crispin W. Gardiner,Crispin W. Gardiner,Peter Zoller,Peter Zoller +9 more
TL;DR: In this paper, the Bose-Hubbard model was used to model the phase transition from the superfluid to the Mott insulator phase induced by varying the depth of the optical potential.
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Universal Quantum Simulators
TL;DR: Feynman's 1982 conjecture, that quantum computers can be programmed to simulate any local quantum system, is shown to be correct.