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Building partially entangled states with Grover's amplitude amplification process | | Hiroo Azuma
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30 Oct 1998 | | Journal: | Int.J.Mod.Phys. C11 (2000) 469-484 | | Subject: | quant-ph | | 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 $|0ket$ and an excited state $|1ket$ 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 $n$}) imes 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. | | Source: | arXiv, quant-ph/9810093 | | Services: | Forum | Review | PDF | Favorites | |
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