dorsal/arxiv
View SchemaOptimal manipulations with qubits: Universal quantum entanglers
| Authors | Vladimir Buzek, Mark Hillery |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006045 |
| URL | https://arxiv.org/abs/quant-ph/0006045 |
| DOI | 10.1103/PhysRevA.62.022303 |
| Journal | Phys. Rev. A 62 (2000) 022303 |
Abstract
We analyze various scenarios for entangling two initially unentangled qubits. In particular, we propose an optimal universal entangler which entangles a qubit in unknown state $|\Psi>$ with a qubit in a reference (known) state $|0>$. That is, our entangler generates the output state which is as close as possible to the pure (symmetrized) state $(|\Psi>|0> +|0>|\Psi>)$. The most attractive feature of this entangling machine, is that the fidelity of its performance (i.e. the distance between the output and the ideally entangled -- symmetrized state) does not depend on the input and takes the constant value $F= (9+3\sqrt{2})/14\simeq 0.946$. We also analyze how to optimally generate from a single qubit initially prepared in an unknown state $|\Psi\r$ a two qubit entangled system which is as close as possible to a Bell state $(|\Psi\r|\Psi^\perp\r+|\Psi^\perp\r|\Psi\r)$, where $\l\Psi|\Psi^\perp\r =0$.
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"abstract": "We analyze various scenarios for entangling two initially unentangled qubits.\nIn particular, we propose an optimal universal entangler which entangles a\nqubit in unknown state $|\\Psi\u003e$ with a qubit in a reference (known) state\n$|0\u003e$. That is, our entangler generates the output state which is as close as\npossible to the pure (symmetrized) state $(|\\Psi\u003e|0\u003e +|0\u003e|\\Psi\u003e)$. The most\nattractive feature of this entangling machine, is that the fidelity of its\nperformance (i.e. the distance between the output and the ideally entangled --\nsymmetrized state) does not depend on the input and takes the constant value\n$F= (9+3\\sqrt{2})/14\\simeq 0.946$. We also analyze how to optimally generate\nfrom a single qubit initially prepared in an unknown state $|\\Psi\\r$ a two\nqubit entangled system which is as close as possible to a Bell state\n$(|\\Psi\\r|\\Psi^\\perp\\r+|\\Psi^\\perp\\r|\\Psi\\r)$, where $\\l\\Psi|\\Psi^\\perp\\r =0$.",
"arxiv_id": "quant-ph/0006045",
"authors": [
"Vladimir Buzek",
"Mark Hillery"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.62.022303",
"journal_ref": "Phys. Rev. A 62 (2000) 022303",
"title": "Optimal manipulations with qubits: Universal quantum entanglers",
"url": "https://arxiv.org/abs/quant-ph/0006045"
},
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