BUILDING PARTIALLY ENTANGLED STATES WITH GROVER'S AMPLITUDE AMPLIFICATION PROCESS

Hiroo Azuma ()
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Hiroo Azuma: Mathematical Engineering Division, Canon Research Center, 5-1, Morinosato-Wakamiya, Atsugi-shi, Kanagawa, 243-0193, Japan

International Journal of Modern Physics C (IJMPC), 2000, vol. 11, issue 03, 469-484

Abstract: In the present study, we discuss how to build some partially entangled states ofntwo-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> and an excited state |1> for each qubit. We show that by 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 inn)×2n/2successive unitary transformations that are applied on two or three qubits.

Keywords: Grover's Algorithm; Entangled State; Ramsey Spectroscopy; Quantum Gate (search for similar items in EconPapers)
Date: 2000
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DOI: 10.1142/S0129183100000407

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