TY - JOUR AU - Perinotti, P. AB - Quantum networks: General theory and applicationsIn this work we present a general mathematical framework to deal with Quantum Networks, i.e. networks resulting from the interconnection of elementary quantum circuits. The cornerstone of our approach is a generalization of the Choi isomorphism that allows one to efficiently represent any given Quantum Network in terms of a single positive operator. Our formalism allows one to face and solve many quantum information processing problems that would be hardly manageable otherwise, the most relevant of which are reviewed in this work: quantum process tomography, quantum cloning and learning of transformations, inversion of a unitary gate, information-disturbance tradeoff in estimating a unitary transformation, cloning and learning of a measurement device. TI - Quantum networks: General theory and applications JF - Acta Physica Slovaca DO - 10.2478/v10155-011-0003-9 DA - 2011-06-01 UR - https://www.deepdyve.com/lp/de-gruyter/quantum-networks-general-theory-and-applications-0fnsfJv7sw SP - 273 EP - 390 VL - 61 IS - 3 DP - DeepDyve ER -