We consider the problem of characterizing the set of input-output correlations that can be generated by an arbitrarily given quantum measurement. Our main result is to provide a closed-form, full characterization of such a set for any qubit measurement, and to discuss its geometrical interpretation. As applications, we further specify our results to the cases of real and complex symmetric, informationally complete measurements and mutually unbiased bases of a qubit, in the presence of isotropic noise. Our results provide the optimal device-independent tests of quantum measurements
We consider the problem of discriminating between states of a specified set with maximum confidence....
Obtaining information from a quantum system through a measurement typically disturbs its state. The ...
The original purpose of measurements is to provide us with information about a previously unknown ph...
We consider the problem of characterizing the set of input-output correlations that can be generated...
Self-testing is a method to characterise an arbitrary quantum system based only on its classical inp...
Certification of quantum devices received from unknown providers is a primary requirement before uti...
We present optimal and minimal measurements on identical copies of an unknown state of a quantum bit...
We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simula...
Starting from a simple estimation problem, here we propose a general approach for decoding quantum m...
We examine two simple and feasible practical schemes allowing the complete determination of any quan...
Recently, a novel framework for semi-device-independent quantum prepare-and-measure protocols has be...
The device-independent approach to physics is one where conclusions are drawn directly from the obse...
We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simula...
The range of a quantum measurement is the set of outcome probability distributions that can be produ...
Quantum measurements on a two-level system can have more than two independent outcomes, and in this ...
We consider the problem of discriminating between states of a specified set with maximum confidence....
Obtaining information from a quantum system through a measurement typically disturbs its state. The ...
The original purpose of measurements is to provide us with information about a previously unknown ph...
We consider the problem of characterizing the set of input-output correlations that can be generated...
Self-testing is a method to characterise an arbitrary quantum system based only on its classical inp...
Certification of quantum devices received from unknown providers is a primary requirement before uti...
We present optimal and minimal measurements on identical copies of an unknown state of a quantum bit...
We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simula...
Starting from a simple estimation problem, here we propose a general approach for decoding quantum m...
We examine two simple and feasible practical schemes allowing the complete determination of any quan...
Recently, a novel framework for semi-device-independent quantum prepare-and-measure protocols has be...
The device-independent approach to physics is one where conclusions are drawn directly from the obse...
We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simula...
The range of a quantum measurement is the set of outcome probability distributions that can be produ...
Quantum measurements on a two-level system can have more than two independent outcomes, and in this ...
We consider the problem of discriminating between states of a specified set with maximum confidence....
Obtaining information from a quantum system through a measurement typically disturbs its state. The ...
The original purpose of measurements is to provide us with information about a previously unknown ph...