dorsal/arxiv
View SchemaBuilding partially entangled states with Grover's amplitude amplification process
| Authors | Hiroo Azuma |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9810093 |
| URL | https://arxiv.org/abs/quant-ph/9810093 |
| DOI | 10.1142/S0129183100000407 |
| Journal | Int.J.Mod.Phys. C11 (2000) 469-484 |
Abstract
We discuss how to build some partially entangled states of $n$ two-state quantum systems (qubits). The optimal partially entangled state with a high degree of symmetry is considered to be useful for overcoming a shot noise limit of Ramsey spectroscopy under some decoherence. This state is invariant under permutation of any two qubits and inversion between the ground state $|0\ket$ and an excited state $|1\ket$ for each qubit. We show that using selective phase shifts in certain basis vectors and Grover's inversion about average operations, we can construct this high symmetric entangled state by $({polynomial in $n$})\times 2^{n/2}$ successive unitary transformations that are applied on two or three qubits. We can apply our method to build more general entangled states.
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"abstract": "We discuss how to build some partially entangled states of $n$ two-state\nquantum systems (qubits). The optimal partially entangled state with a high\ndegree of symmetry is considered to be useful for overcoming a shot noise limit\nof Ramsey spectroscopy under some decoherence. This state is invariant under\npermutation of any two qubits and inversion between the ground state $|0\\ket$\nand an excited state $|1\\ket$ for each qubit. We show that using selective\nphase shifts in certain basis vectors and Grover\u0027s inversion about average\noperations, we can construct this high symmetric entangled state by\n$({polynomial in $n$})\\times 2^{n/2}$ successive unitary transformations that\nare applied on two or three qubits. We can apply our method to build more\ngeneral entangled states.",
"arxiv_id": "quant-ph/9810093",
"authors": [
"Hiroo Azuma"
],
"categories": [
"quant-ph"
],
"doi": "10.1142/S0129183100000407",
"journal_ref": "Int.J.Mod.Phys. C11 (2000) 469-484",
"title": "Building partially entangled states with Grover\u0027s amplitude amplification process",
"url": "https://arxiv.org/abs/quant-ph/9810093"
},
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