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Non-classical computing problems: Toward novel type of quantum computing problems

Mohammed Zidan, Hichem Eleuch, Mahmoud Abdel‐Aty

2020Results in Physics46 citationsDOIOpen Access PDF

Abstract

Quantum teleportation draws our attention to propose a new type of problems which can not be solved using classical computers. In this paper, we propose one of these problems. Concretely, this paper extends the definition of Deutsch’s problem to decide whether a black box Uf applied on a given unknown qubit α|0〉+β|1〉, such that |α|>0,|β|>0,and|α|≠|β|, is constant or balanced Boolean function, besides, estimation of |α| and |β|. Although, this problem is very simple but it can not be solved using classical computers, because qubit can not be implemented physically using classical computers. A novel quantum algorithm based on principle of entanglement measure is proposed to solve this problem. IBMs 5-qubit quantum computer (ibmqx4) is used to realize the proposed algorithm experimentally.

Topics & Concepts

Quantum computerComputer scienceType (biology)Natural computingQuantumComputational scienceTheoretical computer scienceQuantum mechanicsPhysicsGeologyPaleontologyQuantum Computing Algorithms and ArchitectureQuantum Information and CryptographyQuantum Mechanics and Applications