4 papers
Supermaps on generalised theories
Matt Wilson, James Hefford, Timothée Hoffreumon
Categorical supermaps generalise higher-order quantum operations from finite-dimensional quantum theory to arbitrary circuit theories. In this paper, we establish the Yoneda lemma…
Quantum theory based on real numbers cannot be experimentally falsified
Timothée Hoffreumon, Mischa P. Woods
Whether the complex numbers of standard quantum theory are experimentally indispensable has remained open for decades. Real quantum theory (RQT), obtained by replacing complex ampl…
Projective characterization of higher-order quantum transformations
Timothée Hoffreumon, Ognyan Oreshkov
Transformations of transformations, also called higher-order transformations, is a natural concept in information processing, which has recently attracted significant interest in t…
Quantum theory does not need complex numbers
Timothee Hoffreumon, Mischa P. Woods
Quantum theory was radically different from the theories of nature which came before it. One key difference was its use of complex numbers. This opened a longstanding debate over w…