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
Complexity of Quantum State Verification in the Quantum Linear Systems Problem
Rolando D. Somma,Yigit Subasi +1 more
TL;DR: The complexity of quantum state verification in the context of solving systems of linear equations of the form $A \vec x = \vec b$ is analyzed, where state preparation, gate, and measurement errors will need to decrease rapidly with $\kappa$ for worst-case and typical instances if error correction is not used, and present some open problems.
Journal ArticleDOI
Measurement of Spin Chern Numbers in Quantum Simulated Topological Insulators.
Qing-Xian Lv,Yan-Xiong Du,Zhen-Tao Liang,Hong-Zhi Liu,Jia-Hao Liang,Lin-Qing Chen,Li-Ming Zhou,Shanchao Zhang,Dan-Wei Zhang,Bao-quan Ai,Hui Yan,Shi-Liang Zhu +11 more
TL;DR: In this article, the spin Chern number is measured by the difference between the energy and spin gaps, and it is shown that the spin gap can be measured with the linear response theory.
Posted ContentDOI
Reachability in Controlled Markovian Quantum Systems: An Operator-Theoretic Approach
TL;DR: In this article, the authors studied the reachability of bilinear quantum control systems with respect to two types of controls: permutations within the simplex and contractions by a dissipative one-parameter semigroup.
Journal ArticleDOI
Quantum speedup via engineering multiple environments
Minglun Mo,Jing Wang,Yunan Wu +2 more
TL;DR: It is shown that, with a judicious choice of the number of coupling environments, the quantum speedup of an open system can be achieved even under weak system‐environment coupling conditions.
Journal ArticleDOI
Weyl Josephson Circuits
TL;DR: Weyl Josephson circuits as discussed by the authors simulate Weyl band structures and are analogous to Bloch Hamiltonians of a desired dimensionality and symmetry class, with broken inversion symmetry and topological phase transitions can be triggered.
References
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Journal ArticleDOI
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.