Quantum Simulations on a Quantum Computer

Abstract

We present a general scheme for performing a simulation of the dynamics of one quantum system using another. This scheme is used to experimentally simulate the dynamics of truncated quantum harmonic and anharmonic oscillators using nuclear magnetic resonance. We believe this to be the first explicit physical realization of such a simulation.

4 pages, 2 figures (\documentstyle[prl,aps,epsfig,amscd]{revtex}); to appear in Phys. Rev. Lett

Cited by in corpus (75)

• Quantum Simulation
• NMR Techniques for Quantum Control and Computation
• Quantum algorithms: an overview
• Towards Quantum Chemistry on a Quantum Computer
• Universal digital quantum simulation with trapped ions
• Quantum chemistry calculations on a trapped-ion quantum simulator
• Hilbert space structure of a solid state quantum computer: two-electron states of a double quantum dot artificial molecule
• Simulating Physical Phenomena by Quantum Networks
• Simulating chemistry using quantum computers
• Can One Trust Quantum Simulators?
• Experimental realization of quantum games on a quantum computer
• Implementation of the Quantum Fourier Transform
• Experimental Implementation of the Quantum Random-Walk Algorithm
• Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
• Quantum computation using electrons trapped by surface acoustic waves
• Quantum Computing with NMR
• Quantum simulation of the wavefunction to probe frustrated Heisenberg spin systems
• Cooling in strongly correlated optical lattices: prospects and challenges
• Trapped-Ion Quantum Simulator: Experimental Application to Nonlinear Interferometers
• Quantum simulation of a three-body interaction Hamiltonian on an NMR quantum computer
• Using Quantum Computers for Quantum Simulation
• A random walk approach to quantum algorithms
• Simulation of a Heisenberg XY- chain and realization of a perfect state transfer algorithm using liquid nuclear magnetic resonance
• Experimental realization of quantum algorithm for solving linear systems of equations
• Polynomial-Time Simulation of Pairing Models on a Quantum Computer
• Universal simulation of Markovian quantum dynamics
• Universal Quantum Hamiltonians
• Limitations of Quantum Simulation Examined by Simulating a Pairing Hamiltonian using Nuclear Magnetic Resonance
• Prediction and real-time compensation of qubit decoherence via machine-learning
• Simulation of chemical reaction dynamics on an NMR quantum computer
• Quantum computing of fluid dynamics using the hydrodynamic Schrödinger equation
• Digital Quantum Simulation with Rydberg Atoms
• Introduction to Quantum Algorithms for Physics and Chemistry
• A Two-Dimensional Lattice Ion Trap for Quantum Simulation
• NMR Simulation of an Eight-State Quantum System
• Nuclear Magnetic Resonance Implementation of a Quantum Clock Synchronization Algorithm
• Quantum Analogue Computing
• Experimental Identification of Non-Abelian Topological Orders on a Quantum Simulator
• Synthesizing three-body interaction of spin chirality with superconducting qubits
• Classical bifurcation in a quadrupolar NMR system
• A Method for Modeling Decoherence on a Quantum Information Processor
• Programmable quantum simulation by dynamic Hamiltonian engineering
• Iterative quantum state transfer along a chain of nuclear spin qubits
• Enhancing quantum utility: simulating large-scale quantum spin chains on superconducting quantum computers
• Quantum Error Correction for State Transfer in Noisy Spin Chains
• Spatially Encoded Pseudo-Pure States for NMR Quantum Information Processing
• Quantum Simulation of Tunneling in Small Systems
• Modularization of multi-qubit controlled phase gate and its NMR implementation
• Estimating Franck-Condon factors using an NMR quantum processor
• Experimental Demonstration of Quantum Tunneling in IBM Quantum Computer
• Quantum algorithms for scientific computing
• Quantum optics and frontiers of physics: The third quantum revolution
• Nitrogen-Vacancy Center as Open-Quantum-System Simulator
• The noncommutative geometry of Zitterbewegung
• Quantum Computational Method of Finding the Ground State Energy and Expectation Values
• Efficient Assessment of Process Fidelity
• Quantum Optical Random Walk: Quantization Rules and Quantum Simulation of Asymptotics
• First-quantized eigensolver for ground and excited states of electrons under a uniform magnetic field
• Low-temperature environments for quantum computation and quantum simulation
• Variational quantum computing for quantum simulation: principles, implementations, and challenges
• Proposal of Quantum Simulation of Pairing Model on an NMR Quantum Computer
• Writing electronic ferromagnetic states in a high-temperature paramagnetic nuclear spin system
• Effects of Noise, Correlations and errors in the preparation of initial states in Quantum Simulations
• Quantum Simulation of Simple Many-Body Dynamics
• SpinQ Gemini: a desktop quantum computer for education and research
• Exact Numerical Solution of the BCS Pairing Problem
• State preparation based on Grover's algorithm in the presence of global information about the state
• Sampling Electronic Fock States using Determinant Quantum Monte Carlo
• Switching of Geometric Phase in Degenerate Systems
• Quantum Computation as a Dynamical Process
• Quantum simulation of quantum mechanical system with spatial noncommutativity
• Linear-optical generation of eigenstates of the two-site XY model
• Digital Quantum Simulation of Hadronization in Yang-Mills Theory
• Engineering Precise and Robust Effective Hamiltonians
• Quantum Simulation of Molecular Collisions in the Time-Dependent Formulation