dorsal/arxiv
View SchemaQuantum cloning with nonlocal assistance: Complement of Jozsa's stronger no-cloning theorem
| Authors | Koji Azuma, Masato Koashi, Hosho Katsura, Nobuyuki Imoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604009 |
| URL | https://arxiv.org/abs/quant-ph/0604009 |
Abstract
We investigate the cases where a set $S$ of states $\{\ket{\psi_i} \}$ cannot be cloned by itself, but is clonable with the help of another system prepared in state $\hat{\rho}_i$. When $S$ is pair-wise nonorthogonal, it is known that one can generate the copy from $\hat{\rho}_i$ alone, with no interaction with the original system. Here we show that a set containing orthogonal pairs exhibits a property forming a striking contrast; For any such set, there is a choice of $\hat{\rho}_i$ that enables cloning only when the two systems are interacted in a purely quantum manner that is not achievable via classical communication.
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"date_created": "2026-03-02T18:02:27.238000Z",
"date_modified": "2026-03-02T18:02:27.238000Z",
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"abstract": "We investigate the cases where a set $S$ of states $\\{\\ket{\\psi_i} \\}$ cannot\nbe cloned by itself, but is clonable with the help of another system prepared\nin state $\\hat{\\rho}_i$. When $S$ is pair-wise nonorthogonal, it is known that\none can generate the copy from $\\hat{\\rho}_i$ alone, with no interaction with\nthe original system. Here we show that a set containing orthogonal pairs\nexhibits a property forming a striking contrast; For any such set, there is a\nchoice of $\\hat{\\rho}_i$ that enables cloning only when the two systems are\ninteracted in a purely quantum manner that is not achievable via classical\ncommunication.",
"arxiv_id": "quant-ph/0604009",
"authors": [
"Koji Azuma",
"Masato Koashi",
"Hosho Katsura",
"Nobuyuki Imoto"
],
"categories": [
"quant-ph"
],
"title": "Quantum cloning with nonlocal assistance: Complement of Jozsa\u0027s stronger no-cloning theorem",
"url": "https://arxiv.org/abs/quant-ph/0604009"
},
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"execution_id": "02dd72c7-e5c2-46b3-a046-b477d85937d2",
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"type": "Model",
"variant": "snapshot-2026-03-01",
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