Linear-optical fusion boosted by high-dimensional entanglement

• URL: http://arxiv.org/abs/2407.10893v1
• Date: Mon, 15 Jul 2024 16:41:59 GMT
• Title: Linear-optical fusion boosted by high-dimensional entanglement
• Authors: Tomohiro Yamazaki, Koji Azuma,
• Abstract summary: We propose a quantum measurement that probabilistically projects a pair of qudits of $d$ onto a Bell state in a two-qubit subspace. It can be performed using linear-optical circuits with the success probabilities of $1-d-1$ without ancilla photons and $1-d-(k+1)$ with $2(2k-1)$ ancilla photons.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose a quantum measurement that probabilistically projects a pair of qudits of dimension $d$ onto a Bell state in a two-qubit subspace. It can be performed using linear-optical circuits with the success probabilities of $1-d^{-1}$ without ancilla photons and $1-d^{-(k+1)}$ with $2(2^{k}-1)$ ancilla photons. It allows us to entangle two independently-prepared high-dimensional entangled states two-dimensionally with higher probabilities than ones of linear-optical fusion gates on qubits. As an application, we propose a fast quantum repeater protocol with three-qudit GHZ states and quantum memories.

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