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2013

Quantum realization of arbitrary joint measurability structures

Kunjwal, Ravi, Heunen, Chris, Fritz, Tobias

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In many a traditional physics textbook, a quantum measurement is defined as a projective measurement represented by a Hermitian operator.

In quantum information theory, however, the concept of a measurement is dealt with in complete generality and we are therefore forced to confront the more general notion of positive-operator valued measures (POVMs) which suffice to describe all measurements that can be implemented in quantum experiments.
We study the (in)compatibility of such POVMs and show that quantum theory realizes all possible (in)compatibility relations among sets of POVMs.
This is in contrast to the restricted case of projective measurements for which commutativity is essentially equivalent to compatibility.

Quantum realization of arbitrary joint measurability structures · Around

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