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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Hybrid quantum circuits: Superconducting circuits interacting with other quantum systems
TL;DR: Hybrid quantum circuits combine two or more physical systems, with the goal of harnessing the advantages and strengths of the different systems in order to better explore new phenomena and potentially bring about novel quantum technologies as discussed by the authors.
Journal ArticleDOI
Search for New Physics with Atoms and Molecules
Marianna Safronova,Dmitry Budker,David DeMille,Derek F. Jackson Kimball,Andrei Derevianko,Charles W. Clark +5 more
TL;DR: In this article, the authors present a review of the application of atomic physics to address important challenges in physics and to look for variations in the fundamental constants, search for interactions beyond the standard model of particle physics and test the principles of general relativity.
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Quantum simulations with ultracold atoms in optical lattices
TL;DR: In this article, the authors review recent experimental progress in quantum many-body simulation and comment on future directions, and present a review of the current state-of-the-art in this field.
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Observation of a many-body dynamical phase transition with a 53-qubit quantum simulator
Jiehang Zhang,Guido Pagano,Paul Hess,A. Kyprianidis,P. Becker,H. B. Kaplan,Alexey V. Gorshkov,Zhe-Xuan Gong,Christopher Monroe +8 more
TL;DR: Here, a quantum simulator composed of up to 53 qubits is used to study non-equilibrium dynamics in the transverse-field Ising model with long-range interactions, enabling the dynamical phase transition to be probed directly and revealing computationally intractable features that rely on the long- range interactions and high connectivity between qubits.
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A quantum engineer's guide to superconducting qubits
Philip Krantz,Philip Krantz,Morten Kjaergaard,Fei Yan,Terry P. Orlando,Simon Gustavsson,William D. Oliver +6 more
TL;DR: In this paper, the authors provide an introductory guide to the central concepts and challenges in the rapidly accelerating field of superconducting quantum circuits, including qubit design, noise properties, qubit control and readout techniques.
References
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Quantum simulation of many-body Hamiltonians using perturbation theory with bounded-strength interactions.
TL;DR: This work shows how to map a given n-qubit target Hamiltonian with bounded-strength k-body interactions onto a simulator Hamiltonian, such that the ground-state energy of the target and the simulator Hamiltonians are the same up to an extensive error O(epsilon n) for arbitrary small epsilon.
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Polynomial-time simulation of pairing models on a quantum computer.
TL;DR: In this paper, a polynomial-time algorithm for simulation of pairing Hamiltonians on an NMR quantum computer is proposed, which adiabatically finds the low-lying spectrum in the vicinity of the gap between the ground and the first excited states and provides a test of the applicability of the BCS Hamiltonian to mesoscopic superconducting systems such as ultrasmall metallic grains.
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Quantum algorithm for simulating the dynamics of an open quantum system
TL;DR: In this article, the authors present a quantum algorithm for simulating the dynamics of an open quantum system using ancilla qubits with properly chosen single-qubit frequencies and with properly designed coupling to the system qubits.
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Simulating quantum dynamics on a quantum computer
TL;DR: In this paper, the complexity of the algorithm is quantified by calls to an oracle, which yields information about the Hamiltonian and accounts for all computational resources, and explicitly determines the number of bits of output that this oracle needs to provide, and show how to efficiently perform the required 1-sparse unitary operations using these bits.
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Optimal Simulation of Two-Qubit Hamiltonians Using General Local Operations
Charles H. Bennett,J. I. Cirac,Matthew Leifer,Debbie Leung,Noah Linden,Sandu Popescu,Guifre Vidal +6 more
TL;DR: In this paper, the simulation of the dynamics of one nonlocal Hamiltonian by another, allowing arbitrary local resources but no entanglement or classical communication, is considered, and the optimal protocols do not require local ancillas, and can be understood geometrically in terms of a polyhedron defined by a partial order on the set of two-qubit Hamiltonians.