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arXiv · 1008.0701

Quantum Simulation of Molecular Collisions with Superconducting Qubits

Emily J. Pritchett·Colin Benjamin·Andrei Galiautdinov·Michael R. Geller·Andrew T. Sornborger·Phillip C. Stancil·John M. Martinis
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Abstract

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.

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Emily J. Pritchett, Colin Benjamin, Andrei Galiautdinov, Michael R. Geller, Andrew T. Sornborger, Phillip C. Stancil, John M. Martinis. 2010-08-04. Quantum Simulation of Molecular Collisions with Superconducting Qubits. https://arxiv.org/abs/1008.0701

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