Experimental Simulation of Hybrid Quantum Systems and Entanglement on a Quantum Computer
Farai Mazhandu, Kayleigh Mathieson, Christopher Coleman, Somnath, Bhattacharyya

TL;DR
This paper demonstrates the use of IBM Quantum Experience to simulate hybrid quantum systems, analyzing properties like coherence and error rates, and establishing a protocol for testing quantum components virtually before physical experiments.
Contribution
It introduces a simulation framework for hybrid quantum systems on a quantum computer, enabling pre-experimental analysis of coherence, fidelity, and scalability.
Findings
Simulated hybrid systems show coherence times comparable to experimental results.
Increasing NV centers decreases system coherence, indicating scalability limits.
Fidelity of virtual circuits reaches approximately 0.82, validating the simulation approach.
Abstract
We propose the utilization of the IBM Quantum Experience quantum computing system to simulate different scenarios involving common hybrid quantum system components, the Nitrogen Vacancy Centre (NV centre) and the Flux Qubit. We perform a series of the simulation experiments and demonstrate properties of a virtual hybrid system, including its spin relaxation rate and state coherence. In correspondence with experimental investigations we look at the scalability of such systems and show that increasing the number of coupled NV centres decreases the coherence time. We also establish the main error rate as a function of the number of control pulses in evaluating the fidelity of the four qubit virtual circuit with the simulator. Our results show that the virtual system can attain decoherence and fidelity values comparable to what has been reported for experimental investigations of similar…
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