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Collapsing a Perfect Superposition to a Chosen Quantum State without Measurement

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  • Ahmed Younes
  • Mahmoud Abdel-Aty

Abstract

Given a perfect superposition of states on a quantum system of qubits. We propose a fast quantum algorithm for collapsing the perfect superposition to a chosen quantum state without applying any measurements. The basic idea is to use a phase destruction mechanism. Two operators are used, the first operator applies a phase shift and a temporary entanglement to mark in the superposition, and the second operator applies selective phase shifts on the states in the superposition according to their Hamming distance with . The generated state can be used as an excellent input state for testing quantum memories and linear optics quantum computers. We make no assumptions about the used operators and applied quantum gates, but our result implies that for this purpose the number of qubits in the quantum register offers no advantage, in principle, over the obvious measurement-based feedback protocol.

Suggested Citation

  • Ahmed Younes & Mahmoud Abdel-Aty, 2014. "Collapsing a Perfect Superposition to a Chosen Quantum State without Measurement," PLOS ONE, Public Library of Science, vol. 9(8), pages 1-5, August.
    • Handle: RePEc:plo:pone00:0103612
    DOI: 10.1371/journal.pone.0103612
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    1. T. Chanelière & D. N. Matsukevich & S. D. Jenkins & S.-Y. Lan & T. A. B. Kennedy & A. Kuzmich, 2005. "Storage and retrieval of single photons transmitted between remote quantum memories," Nature, Nature, vol. 438(7069), pages 833-836, December.
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