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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Journal ArticleDOI
Robust zero-energy modes in an electronic higher-order topological insulator.
S. N. Kempkes,M. R. Slot,J. J. van den Broeke,Pierre Capiod,Wladimir A. Benalcazar,Daniel Vanmaekelbergh,Dario Bercioux,Dario Bercioux,Ingmar Swart,C. Morais Smith +9 more
TL;DR: In this paper, an electronic higher-order topological insulator (HOTI) was realized by manipulating carbon monoxide molecules on a Cu(111) surface using a scanning tunnelling microscope.
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Genuine quantum correlations in quantum many-body systems: a review of recent progress.
Gabriele De Chiara,Anna Sanpera +1 more
TL;DR: In this article, the authors review the most recent developments regarding correlations in quantum many-body systems focussing on multipartite entanglement, quantum nonlocality, quantum discord, mutual information but also other non classical measures of correlations based on quantum coherence.
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Detecting Equilibrium and Dynamical Quantum Phase Transitions in Ising Chains via Out-of-Time-Ordered Correlators.
TL;DR: It is shown that an out-of-time-ordered OTO correlator can also be used to dynamically detect equilibrium as well as nonequilibrium phase transitions in Ising chains.
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Quantum algorithms to simulate many-body physics of correlated fermions
TL;DR: In this article, the authors develop quantum algorithms that run on two-dimensional qubit lattices with nearest-neighbor interactions, to simulate strongly correlated fermions, avoiding the parity problem in mapping fermionic operators to qubit operators, with hardly any overhead.
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Observing the Space- and Time-Dependent Growth of Correlations in Dynamically Tuned Synthetic Ising Models with Antiferromagnetic Interactions
Vincent Lienhard,Sylvain de Léséleuc,Daniel Barredo,Thierry Lahaye,Antoine Browaeys,Michael Schuler,Louis-Paul Henry,Andreas M. Läuchli +7 more
TL;DR: In this article, the authors explore the dynamics of artificial one-and two-dimensional Ising-like quantum antiferromagnets with different lattice geometries by using a Rydberg quantum simulator of up to 36 spins in which they dynamically tune the parameters of the Hamiltonian.
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.