Quantum Version of Wielandt’s Inequality Revisited

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MICHALEK, Mateusz, Yaroslav SHITOV, 2019. Quantum Version of Wielandt’s Inequality Revisited. In: IEEE Transactions on Information Theory (T-IT). Institute of Electrical and Electronics Engineers (IEEE). 65(8), pp. 5239-5242. ISSN 0018-9448. eISSN 1557-9654. Available under: doi: 10.1109/TIT.2019.2897772

@article{Michalek2019Quant-52489, title={Quantum Version of Wielandt’s Inequality Revisited}, year={2019}, doi={10.1109/TIT.2019.2897772}, number={8}, volume={65}, issn={0018-9448}, journal={IEEE Transactions on Information Theory (T-IT)}, pages={5239--5242}, author={Michalek, Mateusz and Shitov, Yaroslav} }

eng Michalek, Mateusz Quantum Version of Wielandt’s Inequality Revisited 2021-01-18T10:21:00Z 2021-01-18T10:21:00Z Michalek, Mateusz Shitov, Yaroslav Shitov, Yaroslav terms-of-use Consider a linear space L of complex D-dimensional linear operators and assume that some power Lk of L is the whole set End(CD). Perez-Garcia, Verstraete, Wolf, and Cirac conjectured that the sequence L<sup>1</sup>, L<sup>2</sup>, . . . stablilizes after O(D<sup>2</sup>) terms; we prove that this happens after O(D<sup>2</sup> log D) terms, improving the previously known bound of O(D<sup>4</sup>). 2019

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