Several finite-dimensional quasi-probability representations of quantum states have been proposed to study various problems in quantum information theory and quantum foundations. These… Expand

It is proved that postselection, a necessary ingredient for weak value amplification, decreases estimation accuracy and, moreover, arranging for anomalously large weak values is a suboptimal strategy.Expand

We introduce a simple protocol for adaptive quantum state tomography, which reduces the worst-case infidelity [1-F(ρ,ρ)] between the estimate and the true state from O(1/sqrt[N]) to O(1/N). It uses a… Expand

It is shown that the phenomenon of anomalous weak values is not limited to quantum theory and that the same features occur in a simple model of a coin subject to a form of classical backaction with pre- and postselection.Expand

A unification of the set of quasiprobability representations using the mathematical theory of frames was recently developed for quantum systems with finite-dimensional Hilbert spaces, in which it was… Expand

An algorithm is provided that can be used to efficiently infer the Hamiltonian of a large but untrusted quantum simulator using a trusted quantum simulator, demonstrating that quantum resources can make certifying analog quantum simulators tractable.Expand

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 of… Expand

Heuristic strategies for experiment design are derived that enjoy the same exponential scaling as fully optimized strategies and generalizations to the case of finite relaxation times, T2 < ∞ are discussed.Expand

Precision control of quantum systems is the driving force for both quantum technology and the probing of physics at the quantum and nano-scale. We propose an implementation independent method for in… Expand