Experimental simulation of quantum tunneling in small systems
arXiv:1205.2421 · doi:10.1038/srep02232
Abstract
It is well known that quantum computers are superior to classical computers in efficiently simulating quantum systems. Here we report the first experimental simulation of quantum tunneling through potential barriers, a widespread phenomenon of a unique quantum nature, via NMR techniques. Our experiment is based on a digital particle simulation algorithm and requires very few spin-1/2 nuclei without the need of ancillary qubits. The occurrence of quantum tunneling through a barrier, together with the oscillation of the state in potential wells, are clearly observed through the experimental results. This experiment has clearly demonstrated the possibility to observe and study profound physical phenomena within even the reach of small quantum computers.
arXiv comment17 pages and 8 figures
References in corpus (20)
- Quantum Mechanics helps in searching for a needle in a haystack
- Simulated Quantum Computation of Molecular Energies
- Exponential algorithmic speedup by quantum walk
- Towards Quantum Chemistry on a Quantum Computer
- Experimental Realization of Nonadiabatic Holonomic Quantum Computation
- Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
- Efficient Simulation of Quantum Systems by Quantum Computers
- Simulating chemistry using quantum computers
- An approximate Fourier transform useful in quantum factoring
- Quantum simulation of a system with competing two- and three-body interactions
- Quantum simulation of a three-body interaction Hamiltonian on an NMR quantum computer
- Quantum Phase Transition of Ground-state Entanglement in a Heisenberg Spin Chain Simulated in an NMR Quantum Computer
- Quantum Simulation and Phase Diagram of the Transverse Field Ising Model with Three Atomic Spins
- Direct observation of quantum criticality in Ising spin chains
- Quantum simulation of the single-particle Schrodinger equation
- Shor's Factoring Algorithm and Modern Cryptography. An Illustration of the Capabilities Inherent in Quantum Computers
- Liquid state NMR simulations of quantum many-body problems
- Introduction to Quantum Algorithms for Physics and Chemistry
- Experimental Quantum Simulation of Entanglement in Many-body Systems
- Quantum Simulation of Tunneling in Small Systems
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- Quantum Simulation of Molecular Dynamics Processes -- A Benchmark Study Using Classical Simulator and Present-Day Quantum Hardware
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