New learning rule for quantum measurement classes overcomes uniform convergence issues.
arXiv research
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A single qubit may be represented on the Bloch sphere or similarly on the -sphere . Our goal is to dress this correspondence by converting the language of universal quantum computing (UQC) to that of -manifolds. A magic state and the Pauli group acting on it define a model of UQC as a positive operator-value…
Quantum circuits learn to classify non-orthogonal quantum states.
Quantum computing uses Bianchi groups to build gates.
We classify SIC-POVMs of rank one in CP^2, or equivalently sets of nine equally-spaced points in CP^2, without the assumption of group covariance. If two points are fixed, the remaining seven must lie on a pinched torus that a standard moment mapping projects to a circle in R^3. We use this approach to prove that any S…
New proof shows 11 measurements needed for phase retrieval in 4D complex space.