Browsing Department of Materials Science and Metallurgy by Author "Ozols, Maris"

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  • Entropy power inequalities for qudits 

    Audenaert, Koenraad; Datta, Nilanjana; Ozols, Maris (American Institute of Physics PublishingJournal of Mathematical Physics, 2016-05-20)
    Shannon’s entropy power inequality (EPI) can be viewed as a statement of concavity of an entropic function of a continuous random variable under a scaled addition rule: f(√a X + √1 − a Y) ≥ a f(X) + (1 − a)f(Y) ∀ a ∈ [0, ...

  • The Complexity of Translationally Invariant Spin Chains with Low Local Dimension 

    Bausch, Johannes; Cubitt, Toby; Ozols, Maris (Annales Henri Poincaré, 2017-11)
    We prove that estimating the ground state energy of a translationally-invariant, nearest-neighbour Hamiltonian on a 1D spin chain is QMAEXP-complete, even for systems of low local dimension (roughly 40). This is an improvement ...

  • Unbounded number of channel uses may be required to detect quantum capacity 

    Cubitt, Toby; Elkouss, David; Matthews, William; Ozols, Maris; Perez-Garcia, David; Strelchuk, Sergii (NPGNature Communications, 2015-03-31)
    Transmitting data reliably over noisy communication channels is one of the most important applications of information theory, and is well understood for channels modelled by classical physics. However, when quantum effects ...