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arXiv · 2201.07687

Simulating open quantum dynamics on an NMR quantum processor using the Sz.-Nagy dilation algorithm

Akshay Gaikwad·Arvind·Kavita Dorai
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Abstract

We experimentally implement the Sz.-Nagy dilation algorithm to simulate open quantum dynamics on an nuclear magnetic resonance (NMR) quantum processor. The Sz.-Nagy algorithm enables the simulation of the dynamics of arbitrary-dimensional open quantum systems, using only a single ancilla qubit. We experimentally simulate the action of two non-unitary processes, namely, a phase damping channel acting independently on two qubits and a magnetic field gradient pulse (MFGP) acting on an ensemble of two coupled nuclear spin-1/2 particles. To evaluate the quality of the experimentally simulated quantum process, we perform convex optimization-based full quantum process tomography to reconstruct the quantum process from the experimental data and compare it with the target quantum process to be simulated.

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Akshay Gaikwad, Arvind, Kavita Dorai. 2022-01-19. Simulating open quantum dynamics on an NMR quantum processor using the Sz.-Nagy dilation algorithm. https://doi.org/10.1103/physreva.106.022424

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