Quantum Query Complexity, Confining String In An Analytically Solvable 3D Model, Hagedorn Spectrum And Equation Of State Of Yang-Mills Theories, Equation Of State Of G(2) Gauge Theory, Donald Hoffman Uses Evolutionary Game Theory To Show That Our Percepti

Abstract

Harry Buhrman, Matthias Christandl, Jeroen Zuiddam study nondeterministic multiparty quantum communication with (e&eb) a quantum generalization of broadcasts. Authors show that, with number-in-hand classical inputs, the communication complexity of (e) a Boolean function in this communication model equals (=) the logarithm of (e) the support rank of (e) the corresponding tensor, whereas (e) the approximation complexity in (eb) this model equals (=) the logarithm of the border support rank. This characterisation allow (eb)s us to prove a log-rank conjecture posed by (e) Villagra et al. for (e) nondeterministic multiparty quantum communication with (e&eb) message-passing. The support rank characterization of (e) the communication model connects quantum communication complexity intimately to (e&eb) the theory of asymptotic entanglement transformation and (e&eb) algebraic complexity theory. In this context, authors introduce (eb) the graph wise equality problem. For a cycle graph, the complexity of (e) this communication problem is closely...

The full paper: http://www.iiste.org/PDFshare/APTA-PAGENO-501459-505934.pdf