dorsal/arxiv
View SchemaMixed Qubit Cannot Be Universally Broadcast
| Authors | Lin Chen, Yi-Xin Chen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0612205 |
| URL | https://arxiv.org/abs/quant-ph/0612205 |
| DOI | 10.1103/PhysRevA.75.062322 |
Abstract
We show that there does not exist any universal quantum cloning machine that can broadcast an arbitrary mixed qubit with a constant fidelity. Based on this result, we investigate the dependent quantum cloner in the sense that some parameter of the input qubit $\rho_s(\theta,\omega,\lambda)$ is regarded as constant in the fidelity. For the case of constant $\omega$, we establish the $1\to2$ optimal symmetric dependent cloner with a fidelity 1/2. It is also shown that the $1\to M$ optimal quantum cloning machine for pure qubits is also optimal for mixed qubits, when $\lambda$ is the unique parameter in the fidelity. For general $N\to M$ broadcasting of mixed qubits, the situation is very different.
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"abstract": "We show that there does not exist any universal quantum cloning machine that\ncan broadcast an arbitrary mixed qubit with a constant fidelity. Based on this\nresult, we investigate the dependent quantum cloner in the sense that some\nparameter of the input qubit $\\rho_s(\\theta,\\omega,\\lambda)$ is regarded as\nconstant in the fidelity. For the case of constant $\\omega$, we establish the\n$1\\to2$ optimal symmetric dependent cloner with a fidelity 1/2. It is also\nshown that the $1\\to M$ optimal quantum cloning machine for pure qubits is also\noptimal for mixed qubits, when $\\lambda$ is the unique parameter in the\nfidelity. For general $N\\to M$ broadcasting of mixed qubits, the situation is\nvery different.",
"arxiv_id": "quant-ph/0612205",
"authors": [
"Lin Chen",
"Yi-Xin Chen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.062322",
"title": "Mixed Qubit Cannot Be Universally Broadcast",
"url": "https://arxiv.org/abs/quant-ph/0612205"
},
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