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

• URL: http://arxiv.org/abs/2201.07687v1
• Date: Wed, 19 Jan 2022 16:15:57 GMT
• Title: Simulating open quantum dynamics on an NMR quantum processor using the Sz.-Nagy dilation algorithm
• Authors: Akshay Gaikwad and Arvind and Kavita Dorai
• Abstract summary: We experimentally implement the Sz.-Nagy dilation algorithm to simulate open quantum dynamics on an nuclear magnetic resonance (NMR) quantum processor. 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.
• Score: 4.291616110077346
• License: http://creativecommons.org/licenses/by/4.0/
• 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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