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Superfast maximum likelihood reconstruction for quantum tomography
TLDR
This work provides a fast and reliable algorithm for maximum-likelihood reconstruction that refutes the common claim that MLE reconstruction is slow and reduces the need for alternative methods that often come with difficult-to-verify assumptions.
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Quantifying Quantum Resources with Conic Programming.
TLDR
Conic programming is used to prove that any general robustness measure (with respect to a convex set of free states or measurements) can be seen as a quantifier of such outperformance in some discrimination task.
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Optimal error regions for quantum state estimation
An estimator is a state that represents one's best guess of the actual state of the quantum system for the given data. Such estimators are points in the state space. To be statistically meaningful,…
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Monte Carlo sampling from the quantum state space. II
High-quality random samples of quantum states are needed for a variety of tasks in quantum information and quantum computation. Searching the high-dimensional quantum state space for a global maximum…
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Optimal verification of general bipartite pure states
TLDR
This work considers the task of verifying entangled states using one-way and two-way classical communication and completely characterize the optimal strategies via convex optimization, and finds that they can be constructed for any bipartite pure state.
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Convex Optimization over Classes of Multiparticle Entanglement.
TLDR
It is shown that Gilbert's algorithm can be adapted to prove separability or membership in a certain entanglement class, and two algorithms for convex optimization over SLOCC classes are presented.
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Enhanced entanglement criterion via symmetric informationally complete measurements
We show that a special type of measurements, called symmetric informationally complete positive operator-valued measures (SIC POVMs), provide a stronger entanglement detection criterion than the…
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Geometric mean of bipartite concurrences as a genuine multipartite entanglement measure
In this work we propose the geometric mean of bipartite concurrences as a genuine multipartite entanglement measure. This measure achieves the maximum value for absolutely maximally entangled states…
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Deterministic realization of collective measurements via photonic quantum walks
TLDR
A general recipe for performing deterministic collective measurements on two identically prepared qubits based on quantum walks is introduced, which offers an effective recipe for beating the precision limit of local measurements in quantum state tomography and metrology.
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Optimal error intervals for properties of the quantum state
Quantum state estimation aims at determining the quantum state from observed data. Estimating the full state can require considerable efforts, but one is often only interested in a few properties of…
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