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Necessity of negativity in quantum theory
Christopher Ferrie, Ryan Morris, Joseph Emerson
A unification of the set of quasiprobability representations using the mathematical theory of frames was recently developed for quantum systems with finite-dimensional Hilbert spac…
Gate fidelity fluctuations and quantum process invariants
Easwar Magesan, Robin Blume-Kohout, Joseph Emerson
We characterize the quantum gate fidelity in a state-independent manner by giving an explicit expression for its variance. The method we provide can be extended to calculate all hi…
Three Slit Experiments and the Structure of Quantum Theory
Cozmin Ududec, Howard Barnum, Joseph Emerson
In spite of the interference manifested in the double-slit experiment, quantum theory predicts that a measure of interference defined by Sorkin and involving various outcome probab…
Framed Hilbert space: hanging the quasi-probability pictures of quantum theory
Christopher Ferrie, Joseph Emerson
Building on earlier work, we further develop a formalism based on the mathematical theory of frames that defines a set of possible phase-space or quasi-probability representations…