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arXiv · 2502.14781

Cavity polariton blockade for non-local entangling gates with trapped atoms

Vineesha Srivastava·Sven Jandura·Gavin K. Brennen·Guido Pupillo
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Abstract

We propose a scheme for realizing multi-qubit entangled W-state and non-local $CZ$ and $C_2Z$ gates via a cavity polariton blockade mechanism with a system of atomic qubits coupled to a common cavity mode. The polariton blockade is achieved by tuning the system, an $N-$qubit register, such that no two atoms are simultaneously excited to the qubit excited state, and there is an effective coupling only between the ground state and a singly-excited W state of the qubit register. The control step requires only an external drive of the cavity mode and a global qubit pulse and no individual qubit addressing. We analytically obtain the state preparation error for an $N-$qubit W state which scales as $\sqrt{(1-1/N)}/\sqrt{C}$ where $C$ is the single particle cooperativity. We additionally show the application of the polariton blockade mechanism in realizing a non-local $CZ$ and $C_2Z$ gate by using a different set of computational qubit states, and characterize the gate errors which scale as $\sim 1/\sqrt{C}$.

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Vineesha Srivastava, Sven Jandura, Gavin K. Brennen, Guido Pupillo. 2025-02-20. Cavity polariton blockade for non-local entangling gates with trapped atoms. https://doi.org/10.1088/2058-9565%2Fadfd79

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