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Added by Arxiv Bot | Added: 2026-03-02 18:02 | Views: 1 | Source: arXiv Dataset IDs (Model)

On the non-existence of a universal Hadamard gate

Authors	Preeti Parashar
Categories	quant-ph
ArXiv ID	quant-ph/0606231
URL	https://arxiv.org/abs/quant-ph/0606231

Abstract

We establish the non-existence of a universal Hadamard gate for arbitrary unknown qubits, by considering two different principles; namely, no-superluminal signalling and non-increase of entanglement under LOCC. It is also shown that these principles are not violated if and only if the qubit states are of a special form obtained in our recent work [ IJQI (in press), quant-ph/0505068 ].

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    "abstract": "We establish the non-existence of a universal Hadamard gate for arbitrary\nunknown qubits, by considering two different principles; namely,\nno-superluminal signalling and non-increase of entanglement under LOCC. It is\nalso shown that these principles are not violated if and only if the qubit\nstates are of a special form obtained in our recent work [ IJQI (in press),\nquant-ph/0505068 ].",
    "arxiv_id": "quant-ph/0606231",
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    "title": "On the non-existence of a universal Hadamard gate",
    "url": "https://arxiv.org/abs/quant-ph/0606231"
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