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Realization of Kraus operators and POVM measurements using a duality quantum computer
Authors:Yang Liu  Jing-Xin Cui
Institution:1. School of Nuclear Science and Engineering, North China Electric Power University, Beijing, 102206, China
2. Department of Physics, Tsinghua University, Beijing, 100084, China
Abstract:In this paper, we discuss the ability of realizing Kraus operators and POVM measurements in a duality quantum computer. We prove that not all the Kraus operators can be realized in a duality quantum computer. We introduce a new type of duality quantum circuit, multi-duality circuit, by repeating the previous version of duality quantum circuit as a unit, and we can realize universal Kraus operators and POVM measurements with this new circuit. We also give a measure of the complexity of the Kraus operations in terms of the minimum number the units required to realize the Kraus operations in multi-duality circuit.
Keywords:Duality computer  Kraus operators  POVM measurements  Duality quantum circuit
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