dorsal/arxiv
View SchemaProbabilistic cloning and identification of linearly independent quantum states
| Authors | Lu-Ming Duan, Guang-Can Guo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9804064 |
| URL | https://arxiv.org/abs/quant-ph/9804064 |
| DOI | 10.1103/PhysRevLett.80.4999 |
| Journal | Phys.Rev.Lett. 80 (1998) 4999-5002 |
Abstract
We construct a probabilistic quantum cloning machine by a general unitary-reduction operation. With a postselection of the measurement results, the machine yields faithful copies of the input states. It is shown that the states secretly chosen from a certain set $\$=\left\{\left| \Psi_1\right> ,\left| \Psi_2\right> ,... ,\left| \Psi_n\right> \right\} $ can be probabilistically cloned if and only if $% \left| \Psi_1\right>$, $\left| \Psi_2\right>$, $... ,$ and $\left| \Psi_n\right>$ are linearly-independent. We derive the best possible cloning efficiencies. Probabilistic cloning has close connection with the problem of identification of a set of states, which is a type of $n+1$ outcome measurement on $n$ linearly independent states. The optimal efficiencies for this type of measurement are obtained.
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"abstract": "We construct a probabilistic quantum cloning machine by a general\nunitary-reduction operation. With a postselection of the measurement results,\nthe machine yields faithful copies of the input states. It is shown that the\nstates secretly chosen from a certain set $\\$=\\left\\{\\left| \\Psi_1\\right\u003e\n,\\left| \\Psi_2\\right\u003e ,... ,\\left| \\Psi_n\\right\u003e \\right\\} $ can be\nprobabilistically cloned if and only if $% \\left| \\Psi_1\\right\u003e$, $\\left|\n\\Psi_2\\right\u003e$, $... ,$ and $\\left| \\Psi_n\\right\u003e$ are linearly-independent. We\nderive the best possible cloning efficiencies. Probabilistic cloning has close\nconnection with the problem of identification of a set of states, which is a\ntype of $n+1$ outcome measurement on $n$ linearly independent states. The\noptimal efficiencies for this type of measurement are obtained.",
"arxiv_id": "quant-ph/9804064",
"authors": [
"Lu-Ming Duan",
"Guang-Can Guo"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.80.4999",
"journal_ref": "Phys.Rev.Lett. 80 (1998) 4999-5002",
"title": "Probabilistic cloning and identification of linearly independent quantum states",
"url": "https://arxiv.org/abs/quant-ph/9804064"
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