Expanding a 4-qubit Dicke State to a 5-qubit Dicke State with Limited Qubit Access

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Hauptverfasser: Thapa, Bibhuti, Moran, Oberon, Vu, Duc-Kha, Ozaydin, Fatih
Format: Preprint
Veröffentlicht: 2025
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author Thapa, Bibhuti
Moran, Oberon
Vu, Duc-Kha
Ozaydin, Fatih
author_facet Thapa, Bibhuti
Moran, Oberon
Vu, Duc-Kha
Ozaydin, Fatih
contents In scenarios where full access to all qubits of a multipartite quantum system is available and global operations can be implemented, the preparation of arbitrary entangled states is theoretically straightforward. However, practical constraints often limit direct control over all qubits. In this work, we first present an efficient method for preparing a four-qubit Dicke state, and then demonstrate how a four-qubit Dicke state can be expanded to a five-qubit Dicke state even when only a subset of qubits is accessible. We propose a quantum circuit that achieves this transformation under restricted control, and support our analytical derivation with numerical simulations. We further carry out a robustness analysis of our circuit under imperfect gate implementations and find that it retains high fidelity for experimentally relevant levels of coherent over-rotation errors, confirming its resilience to realistic noise.
format Preprint
id arxiv_https___arxiv_org_abs_2508_07977
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Expanding a 4-qubit Dicke State to a 5-qubit Dicke State with Limited Qubit Access
Thapa, Bibhuti
Moran, Oberon
Vu, Duc-Kha
Ozaydin, Fatih
Quantum Physics
In scenarios where full access to all qubits of a multipartite quantum system is available and global operations can be implemented, the preparation of arbitrary entangled states is theoretically straightforward. However, practical constraints often limit direct control over all qubits. In this work, we first present an efficient method for preparing a four-qubit Dicke state, and then demonstrate how a four-qubit Dicke state can be expanded to a five-qubit Dicke state even when only a subset of qubits is accessible. We propose a quantum circuit that achieves this transformation under restricted control, and support our analytical derivation with numerical simulations. We further carry out a robustness analysis of our circuit under imperfect gate implementations and find that it retains high fidelity for experimentally relevant levels of coherent over-rotation errors, confirming its resilience to realistic noise.
title Expanding a 4-qubit Dicke State to a 5-qubit Dicke State with Limited Qubit Access
topic Quantum Physics
url https://arxiv.org/abs/2508.07977