Steady-state entanglement generation for non-degenerate qubits

Oliveira, M. H.; Higgins, Gerard; Zhang, Chi; Predojević, Ana; Hennrich, Markus; Bachelard, Romain; Villas-Bôas, C. J.

doi:10.48550/arxiv.2205.10590

Cited by 1 publication

(1 citation statement)

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“…A notable motivation for understanding the QZE is that it might be used to stabilise quantum systems in a particular state such that properties of the system such as entanglement and coherence might be maintained [5,6]. The stability of such properties is of great importance in quantum error correction algorithms or quantum teleportation, as well as in many other quantum computational fields [7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Stochastic quantum trajectories demonstrate the quantum Zeno effect in open spin 1/2, spin 1 and spin 3/2 systems

Walls,

Schachter,

Qian

et al. 2024

J. Phys. A: Math. Theor.

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We investigate the Quantum Zeno Effect in spin 1/2, spin 1 and spin 3/2 open quantum systems undergoing Rabi oscillations, revealing unexplored features for the spin 1 and spin 3/2 systems. The systems interact with an environment designed to perform continuous measurements of an observable, driving the systems stochastically towards one of the eigenstates of the corresponding operator. The system-environment coupling constant represents the strength of the measurement. Stochastic quantum trajectories are generated by unravelling a Markovian Lindblad master equation using the quantum state diffusion formalism. These are regarded as a more appropriate representation of system behaviour than consideration of the averaged evolution since the latter can mask the effect of measurement. Complete positivity is maintained and thus the trajectories can be considered as physically meaningful. The Quantum Zeno Effect is investigated over a range of measurement strengths. Increasing the strength leads to greater system dwell in the vicinity of the eigenstates of the measured observable and lengthens the time taken by the system to return to that eigenstate, thus the Quantum Zeno Effect emerges. For very strong measurement, the Rabi oscillations resemble randomly occurring near-instantaneous jumps between eigenstates. The trajectories followed by the quantum system are heavily dependent on the measurement strength which other than slowing down and adding noise to the Rabi oscillations, changes the paths taken in spin phase space from a circular precession into elaborate figures-of-eight. For spin 1 and spin 3/2 systems, the measurement strength determines which eigenstates are explored. and the Quantum Zeno Effect is stronger when the system dwells in the vicinity of certain eigenstates compared to others.

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