dorsal/arxiv
View SchemaGeneral impossible operations in quantum information
| Authors | Arun K. Pati |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111153 |
| URL | https://arxiv.org/abs/quant-ph/0111153 |
| DOI | 10.1103/PhysRevA.66.062319 |
| Journal | Phys. Rev. A Vol 66, 062319 (2002) |
Abstract
We prove a general limitation in quantum information that unifies the impossibility principles such as no-cloning and no-anticloning. Further, we show that for an unknown qubit one cannot design a universal Hadamard gate for creating equal superposition of the original and its complement state. Surprisingly, we find that Hadamard transformations exist for an unknown qubit chosen either from the polar or equatorial great circles. Also, we show that for an unknown qubit one cannot design a universal unitary gate for creating unequal superpositions of the original and its complement state. We discuss why it is impossible to design a controlled-NOT gate for two unknown qubits and discuss the implications of these limitations.
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"abstract": "We prove a general limitation in quantum information that unifies the\nimpossibility principles such as no-cloning and no-anticloning. Further, we\nshow that for an unknown qubit one cannot design a universal Hadamard gate for\ncreating equal superposition of the original and its complement state.\nSurprisingly, we find that Hadamard transformations exist for an unknown qubit\nchosen either from the polar or equatorial great circles. Also, we show that\nfor an unknown qubit one cannot design a universal unitary gate for creating\nunequal superpositions of the original and its complement state. We discuss why\nit is impossible to design a controlled-NOT gate for two unknown qubits and\ndiscuss the implications of these limitations.",
"arxiv_id": "quant-ph/0111153",
"authors": [
"Arun K. Pati"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.66.062319",
"journal_ref": "Phys. Rev. A Vol 66, 062319 (2002)",
"title": "General impossible operations in quantum information",
"url": "https://arxiv.org/abs/quant-ph/0111153"
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