Abstract
We derive that sufficient and necessary conditions for existence of a quantum channel ϕ and a generalized unitary operation ɛ sending A i to B i (1 ⩾ i ⩾ k) for two given families {A i } k i=1 , {B i } k i=1 of matrices, respectively. As an application, a sufficient and necessary condition for existence of a unitary duality quantum computer with given input-output states is obtained.
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Guo, Z., Cao, H. Existence and construction of a quantum channel with given inputs and outputs. Chin. Sci. Bull. 57, 4346–4350 (2012). https://doi.org/10.1007/s11434-012-5506-3
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DOI: https://doi.org/10.1007/s11434-012-5506-3