dorsal/arxiv
View SchemaQuantum no-deleting principle and some of its implications
| Authors | Arun K. Pati, Samuel L. Braunstein |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0007121 |
| URL | https://arxiv.org/abs/quant-ph/0007121 |
Abstract
Unmeasureability of a quantum state has important consequences in practical implementation of quantum computers. Like copying, deleting of an unknown state from among several copies is prohibited. This is called no-deletion prinicple. Here, we present a no deleting principle for qudits. We obtain a bound on $N$-to-$M$ deleting and show that the quality of deletion drops exponentially with the number of copies to be deleted. In addition, we investigate conditional, state-dependent and approximate quantum deleting of unknown states. We prove that unitarity does not allow us to delete copies from an alphabet of two non-orthogonal states exactly. Further, we show that no-deleting principle is consistent with no-signalling.
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"abstract": "Unmeasureability of a quantum state has important consequences in practical\nimplementation of quantum computers. Like copying, deleting of an unknown state\nfrom among several copies is prohibited. This is called no-deletion prinicple.\nHere, we present a no deleting principle for qudits. We obtain a bound on\n$N$-to-$M$ deleting and show that the quality of deletion drops exponentially\nwith the number of copies to be deleted. In addition, we investigate\nconditional, state-dependent and approximate quantum deleting of unknown\nstates. We prove that unitarity does not allow us to delete copies from an\nalphabet of two non-orthogonal states exactly. Further, we show that\nno-deleting principle is consistent with no-signalling.",
"arxiv_id": "quant-ph/0007121",
"authors": [
"Arun K. Pati",
"Samuel L. Braunstein"
],
"categories": [
"quant-ph"
],
"title": "Quantum no-deleting principle and some of its implications",
"url": "https://arxiv.org/abs/quant-ph/0007121"
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