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- MakaleAçık Erişim2024Scopus SJRQ4Analysis of grover's quantum search algorithm on a classical computer: Identifying opportunities for improvement
Necati, Çeli̇K; Bi̇Ngöl, Özkan
In this paper, Grover’s quantum search algorithm is analyzed using a classical computer by calculating the amplitudes and the probabilities of finding a single marked state for n=5, 10, 15, 20, 25, and 27 qubit states. The calculations show that the marked state can be found in iterations, where N = 2n is the number of items. The possibility of improving Grover’s search algorithm to find a single item in N search elements is discussed by calculating the amplitudes and hence the probabilities of finding a single marked state for n=5, 10, 15, 20, 25, 30, 35, 40, 45, and 50 qubit states. The calculations showed that the marked state could be found with sufficiently high probability in (ln(N)) iterations. This is quite a remarkable speed-up that can be achieved to find a single marked element in an unsorted N search element. Copyright 2021, Yıldız Technical University.
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İncele - MakaleYayıncıda açık erişim2022Scopus SJRQ2Producing maximally entangled Bell type states in an efficient way for quantum teleportation
Çelik, Necati; Ünal, Nüket
In quantum teleportation, the sender must interact her/his qubit to one of the qubits in a maximally entangled Bell/Bell-type state and as a result, a joint state is obtained. This joint state has to be rearranged in terms of the appropriate number of Bell/Bell-type states. Then the sender measures her/his qubits and sends the results via a classical channel to the receiver. According to the outcome of the measurement results, the receiver applies appropriate gates to the qubits in her/his share to recover the teleported state. Perhaps the most important step in this protocol is to be able to rewrite the joint state in terms of the appropriate number of Bell-type states. An efficient way to produce Bell-type states for quantum teleportation of an arbitrary n-qubit state is proposed. Quantum teleportation of an arbitrary three-qubit state is studied as an example.
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