dorsal/arxiv
View SchemaQuantum mechanical Universal constructor
| Authors | Arun K. Pati, Samuel L. Braunstein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0303124 |
| URL | https://arxiv.org/abs/quant-ph/0303124 |
Abstract
Arbitrary quantum states cannot be copied. In fact, to make a copy we must provide complete information about the system. However, can a quantum system self-replicate? This is not answered by the no-cloning theorem. In the classical context, Von Neumann showed that a `universal constructor' can exist which can self-replicate an arbitrary system, provided that it had access to instructions for making copy of the system. We question the existence of a universal constructor that may allow for the self-replication of an arbitrary quantum system. We prove that there is no deterministic universal quantum constructor which can operate with finite resources. Further, we delineate conditions under which such a universal constructor can be designed to operate dterministically and probabilistically.
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"abstract": "Arbitrary quantum states cannot be copied. In fact, to make a copy we must\nprovide complete information about the system. However, can a quantum system\nself-replicate? This is not answered by the no-cloning theorem. In the\nclassical context, Von Neumann showed that a `universal constructor\u0027 can exist\nwhich can self-replicate an arbitrary system, provided that it had access to\ninstructions for making copy of the system. We question the existence of a\nuniversal constructor that may allow for the self-replication of an arbitrary\nquantum system. We prove that there is no deterministic universal quantum\nconstructor which can operate with finite resources. Further, we delineate\nconditions under which such a universal constructor can be designed to operate\ndterministically and probabilistically.",
"arxiv_id": "quant-ph/0303124",
"authors": [
"Arun K. Pati",
"Samuel L. Braunstein"
],
"categories": [
"quant-ph"
],
"title": "Quantum mechanical Universal constructor",
"url": "https://arxiv.org/abs/quant-ph/0303124"
},
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"source": {
"execution_id": "abd245d4-64ec-4d99-8cc1-74dac4a595a3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
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