We introduce a protocol for the fast simulation of $n$-dimensional quantum systems on $n$-qubit quantum computers with tunable couplings. A mapping is given between the control parameters of the quantum computer and the matrix elements of $H_{\rm s}(t)$, an arbitrary, real, time-dependent $n\times n$ dimensional Hamiltonian that is simulated in the $n$-dimensional `single excitation' subspace of the quantum computer. A time-dependent energy/time rescaling minimizes the simulation time on hardware having a fixed coherence time. We demonstrate how three tunably coupled phase qubits simulate a three-channel molecular collision using this protocol, then study the simulation's fidelity as a function of total simulation time.
CITATION STYLE
Pritchett, E. J., Benjamin, C., Galiautdinov, A., Geller, M. R., Sornborger, A. T., Stancil, P. C., & Martinis, J. M. (2010). Quantum Simulation of Molecular Collisions with Superconducting Qubits. Retrieved from http://arxiv.org/abs/1008.0701
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