A Novel Stabilizer-based Entanglement Distillation Protocol for Qudits

• URL: http://arxiv.org/abs/2408.02383v1
• Date: Mon, 5 Aug 2024 11:14:28 GMT
• Title: A Novel Stabilizer-based Entanglement Distillation Protocol for Qudits
• Authors: Christopher Popp, Tobias C. Sutter, Beatrix C. Hiesmayr,
• Abstract summary: Entanglement distillation is pivotal for robust quantum information processing in error-prone environments. A construction based on stabilizer codes offers an effective method for designing such protocols. We present a novel two-copy distillation protocol that maximizes the fidelity increase per iteration for Bell-diagonal states in any prime dimension.
• Score: 0.016385815610837167
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement distillation, the process of converting weakly entangled states into maximally entangled ones using Local Operations and Classical Communication (LOCC), is pivotal for robust entanglement-assisted quantum information processing in error-prone environments. A construction based on stabilizer codes offers an effective method for designing such protocols. By analytically investigating the effective action of stabilizer protocols for codes in arbitrary dimensions, we establish a standard form for the output states of recurrent stabilizer-based distillation. This links the properties of input states, stabilizers, and encodings to the properties of the protocol. Based on those insights, we present a novel two-copy distillation protocol, applicable to all bipartite states, that maximizes the fidelity increase per iteration for Bell-diagonal states in any prime dimension. The power of this framework and the protocol is demonstrated through numerical investigations, which provide evidence of its superior performance in terms of efficiency and distillability of low-fidelity states compared to other well-established recurrence protocols. By elucidating the interplay between states, errors, and protocols, our contribution advances the systematic development of highly effective distillation protocols across arbitrary dimensions, enhancing our understanding of distillability.

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