Quantum gates between distant atoms mediated by a Rydberg excitation antiferromagnet

• URL: http://arxiv.org/abs/2408.11542v1
• Date: Wed, 21 Aug 2024 11:44:09 GMT
• Title: Quantum gates between distant atoms mediated by a Rydberg excitation antiferromagnet
• Authors: Georgios Doultsinos, David Petrosyan,
• Abstract summary: We present a novel protocol to implement quantum gates between distant atomic qubits connected by an array of neutral atoms. The protocol is based on adiabatically transferring the atoms in the array to an antiferromagnetic-like state of Rydberg excitations using chirped laser pulses.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present a novel protocol to implement quantum gates between distant atomic qubits connected by an array of neutral atoms playing the role of a quantum bus. The protocol is based on adiabatically transferring the atoms in the array to an antiferromagnetic-like state of Rydberg excitations using chirped laser pulses. Upon exciting and de-exciting the atoms in the array under the blockage of nearest neighbors, depending on the state of the two qubits, the system acquires a conditional geometric $\pi$-phase, while the dynamical phase cancels exactly, even when the atomic positions are disordered but nearly frozen in time, which requires sufficiently low temperatures. For van der Waals interacting atoms, under the optimal parameters of the pulses minimizing the Rydberg-state decay and non-adiabatic errors, the gate infidelity scales with the distance $L$ and the number of atoms $N$ between the qubits as $\sim L^6/N^3$. Hence, increasing the number of atoms in the quantum bus connecting the qubits at a given spatial separation will lead to higher gate fidelity.

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