IRIS Scuola Normale Superiorehttps://ricerca.sns.itIl sistema di repository digitale IRIS acquisisce, archivia, indicizza, conserva e rende accessibili prodotti digitali della ricerca.Sat, 16 Oct 2021 01:41:34 GMT2021-10-16T01:41:34Z10291Gaussian optimizers for entropic inequalities in quantum informationhttp://hdl.handle.net/11384/75426Titolo: Gaussian optimizers for entropic inequalities in quantum information
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/11384/754262018-01-01T00:00:00ZEffetto contro intuitivo della gravità sulla capacità termica di una sfera solida: riesame di un problema ben notohttp://hdl.handle.net/11384/68993Titolo: Effetto contro intuitivo della gravità sulla capacità termica di una sfera solida: riesame di un problema ben noto
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/11384/689932016-01-01T00:00:00ZRandom deep neural networks are biased towards simple functionshttp://hdl.handle.net/11384/100374.1Titolo: Random deep neural networks are biased towards simple functions
Tue, 01 Jan 2019 00:00:00 GMThttp://hdl.handle.net/11384/100374.12019-01-01T00:00:00ZA non-perturbative argument for the non-abelian Higgs mechanismhttp://hdl.handle.net/11384/51298Titolo: A non-perturbative argument for the non-abelian Higgs mechanism
Abstract: The evasion of massless Goldstone bosons by the non-abelian Higgs mechanism is proved by a non-perturbative argument in the local BRST gauge
Tue, 01 Jan 2013 00:00:00 GMThttp://hdl.handle.net/11384/512982013-01-01T00:00:00ZExperiments testing macroscopic quantum superpositions must be slowhttp://hdl.handle.net/11384/68984Titolo: Experiments testing macroscopic quantum superpositions must be slow
Fri, 01 Jan 2016 00:00:00 GMThttp://hdl.handle.net/11384/689842016-01-01T00:00:00ZUncertainty relations with quantum memory for the Wehrl entropyhttp://hdl.handle.net/11384/73295Titolo: Uncertainty relations with quantum memory for the Wehrl entropy
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/11384/732952018-01-01T00:00:00ZThe Conditional Entropy Power Inequality for Bosonic Quantum Systemshttp://hdl.handle.net/11384/68992Titolo: The Conditional Entropy Power Inequality for Bosonic Quantum Systems
Abstract: We prove the conditional Entropy Power Inequality for Gaussian quantum systems. This fundamental inequality determines the minimum quantum conditional von Neumann entropy of the output of the beam-splitter or of the squeezing among all the input states where the two inputs are conditionally independent given the memory and have given quantum conditional entropies. We also prove that, for any couple of values of the quantum conditional entropies of the two inputs, the minimum of the quantum conditional entropy of the output given by the conditional Entropy Power Inequality is asymptotically achieved by a suitable sequence of quantum Gaussian input states. Our proof of the conditional Entropy Power Inequality is based on a new Stam inequality for the quantum conditional Fisher information and on the determination of the universal asymptotic behaviour of the quantum conditional entropy under the heat semigroup evolution. The beam-splitter and the squeezing are the central elements of quantum optics, and can model the attenuation, the amplification and the noise of electromagnetic signals. This conditional Entropy Power Inequality will have a strong impact in quantum information and quantum cryptography. Among its many possible applications there is the proof of a new uncertainty relation for the conditional Wehrl entropy.
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/11384/689922018-01-01T00:00:00ZThe One-Mode Quantum-Limited Gaussian Attenuator and Amplifier Have GaussianMaximizershttp://hdl.handle.net/11384/77711Titolo: The One-Mode Quantum-Limited Gaussian Attenuator and Amplifier Have GaussianMaximizers
Mon, 01 Jan 2018 00:00:00 GMThttp://hdl.handle.net/11384/777112018-01-01T00:00:00ZCounterintuitive effect of gravity on the heat capacity of a solid sphere: Re-examination of a well-known problemhttp://hdl.handle.net/11384/60481Titolo: Counterintuitive effect of gravity on the heat capacity of a solid sphere: Re-examination of a well-known problem
Abstract: A well-known high-school problem asking the final temperature of two identical spheres that are given the same amount of heat, one lying on a table and the other hanging from a thread, is re-examined. The conventional solution states that the sphere on the table ends up colder, because thermal expansion raises its center of mass. This solution violates the second law of thermodynamics and is therefore incorrect. Two different new solutions are proposed. The first uses statistical mechanics, while the second is based on purely classical thermodynamical arguments. Gravity produces a counterintuitive effect on the heat capacity, and the new answer to the problem goes in the opposite direction of what has been traditionally thought.
Thu, 01 Jan 2015 00:00:00 GMThttp://hdl.handle.net/11384/604812015-01-01T00:00:00ZOptimal quantum state discrimination via nested binary measurementshttp://hdl.handle.net/11384/68988Titolo: Optimal quantum state discrimination via nested binary measurements
Abstract: A method to compute the optimal success probability of discrimination of N arbitrary quantum states is presented, based on the decomposition of any N-outcome measurement into sequences of nested two-outcome ones. In this way the optimization of the measurement operators can be carried out in successive steps, optimizing first the binary measurements at the deepest nesting level and then moving on to those at higher levels. We obtain an analytical expression for the maximum success probability after the first optimization step and examine its form for the specific case of N=3,4 states of a qubit. In this case, at variance with previous proposals, we are able to provide a compact expression for the success probability of any set of states, whose numerical optimization is straightforward; the results thus obtained highlight some lesser-known features of the discrimination problem.
Sun, 01 Jan 2017 00:00:00 GMThttp://hdl.handle.net/11384/689882017-01-01T00:00:00Z