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07 February 2025
 
  » arxiv » 1508.0207

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Recursive quantum spatial search does not need ancilla qubit
Avatar Tulsi ;
Date 2 Aug 2015
AbstractSpatial search is a widely studied application of quantum algorithms. For a long time, it was believed that quantum spatial search algorithms need ancilla qubits for efficient implementation. Waiving requirement of ancilla qubits will make quantum spatial search algorithms much more easier to implement physically. Several algorithms have been proposed for spatial search without using ancilla qubits. All these algorithms are based on widely studied quantum walk approach. Here we consider another approach to efficient quantum spatial search by Aaronson and Ambainis which is based on the recursive application of Grover’s algorithm rather than widely studied quantum walks. Their algorithm needs one ancilla qubit for successful implementation. We show that this need of ancilla qubit is not necessary. We present a recursive algorithm which does not need any ancilla qubit and hence it offers physical implementation advantages.
Source arXiv, 1508.0207
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