Generic preparation and entanglement detection of equal superposition states |
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| Authors: | Qi Yu YanBao Zhang Jun Li HengYan Wang XinHua Peng JiangFeng Du |
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| Institution: | 1.Hefei National Laboratory for Physical Sciences at Microscale and Department of Modern Physics,University of Science and Technology of China,Hefei,China;2.Institute for Quantum Computing and Department of Physics and Astronomy,University of Waterloo,Waterloo,Canada;3.Beijing Computational Science Research Center,Beijing,China;4.Synergetic Innovation Center of Quantum Information & Quantum Physics,University of Science and Technology of China,Hefei,China;5.College of Physics and Electronic Science,Hubei Normal University,Huangshi,China |
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| Abstract: | Quantum superposition is a fundamental principle of quantum mechanics, so it is not surprising that equal superposition states (ESS) serve as powerful resources for quantum information processing. In this work, we propose a quantum circuit that creates an arbitrary dimensional ESS. The circuit construction is efficient as the number of required elementary gates scales polynomially with the number of required qubits. For experimental realization of the method, we use techniques of nuclear magnetic resonance (NMR).We have succeeded in preparing a 9-dimensional ESS on a 4-qubit NMR quantum register. The full tomography indicates that the fidelity of our prepared state with respect to the ideal 9-dimensional ESS is over 96%. We also prove the prepared state is pseudo-entangled by directly measuring an entanglement witness operator. Our result can be useful for the implementation of those quantum algorithms that require an ESS as an input state. |
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