An Explicit Isometric Reduction of the Unit Sphere into an Arbitrarily Small Ball
Sign Up to like & getrecommendations! Published in 2018 at "Foundations of Computational Mathematics"
DOI: 10.1007/s10208-017-9360-1
Abstract: Spheres are known to be rigid geometric objects: they cannot be deformed isometrically, i.e., while preserving the length of curves, in a twice differentiable way. An unexpected result by Nash (Ann Math 60:383–396, 1954) and… read more here.
Keywords: isometric reduction; unit; arbitrarily small; reduction unit ... See more keywords
Quantum State Merging for Arbitrarily Small-Dimensional Systems
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2018.2889829
Abstract: Recent advances in quantum technology facilitate the realization of information processing using quantum computers at least on the small and intermediate scales of up to several dozens of qubits. We investigate entanglement cost required for… read more here.
Keywords: quantum state; state merging; small dimensional; arbitrarily small ... See more keywords
How to produce an arbitrarily small tensor to scalar ratio
Sign Up to like & getrecommendations! Published in 2019 at "Modern Physics Letters A"
DOI: 10.1142/s0217732319501311
Abstract: In this paper, construct a toy a model which demonstrates that large field single scalar inflation can produce an arbitrarily small scalar to tensor ratio in the window of e-foldings recoverable from CMB experiments. This… read more here.
Keywords: ratio; produce arbitrarily; arbitrarily small; small tensor ... See more keywords