Colloquium: Incompatible measurements in quantum information science

O Gühne, E Haapasalo, T Kraft, JP Pellonpää… - Reviews of Modern …, 2023 - APS
Some measurements in quantum mechanics disturb each other. This has puzzled physicists
since the formulation of the theory, but only in recent decades has the incompatibility of …

Robustness of incompatibility for quantum devices

E Haapasalo - Journal of Physics A: Mathematical and …, 2015 - iopscience.iop.org
A robustness measure for incompatibility of quantum devices in the lines of the robustness of
entanglement is proposed. The concept of general robustness measures is first introduced …

Quantum channel marginal problem

CY Hsieh, M Lostaglio, A Acín - Physical Review Research, 2022 - APS
Given a set of local dynamics, are they compatible with a global dynamics? We
systematically formulate these questions as quantum channel marginal problems. These …

Witnessing incompatibility of quantum channels

C Carmeli, T Heinosaari, T Miyadera… - Journal of Mathematical …, 2019 - pubs.aip.org
We introduce the notion of incompatibility witness for quantum channels, defined as an
affine functional that is non-negative on all pairs of compatible channels and strictly negative …

Optimal quantum observables

E Haapasalo, JP Pellonpää - Journal of Mathematical Physics, 2017 - pubs.aip.org
Various forms of optimality for quantum observables described as normalized positive-
operator-valued measures (POVMs) are studied in this paper. We give characterizations for …

Amount of quantum coherence needed for measurement incompatibility

J Kiukas, D McNulty, JP Pellonpää - Physical Review A, 2022 - APS
A pair of quantum observables diagonal in the same “incoherent” basis can be measured
jointly, so some coherence is obviously required for measurement incompatibility. Here we …

On coexistence and joint measurability of rank-1 quantum observables

JP Pellonpää - arxiv preprint arxiv:1308.3154, 2013 - arxiv.org
arxiv:1308.3154v3 [quant-ph] 17 Dec 2013 Page 1 arxiv:1308.3154v3 [quant-ph] 17 Dec 2013
ON COEXISTENCE AND JOINT MEASURABILITY OF RANK-1 QUANTUM OBSERVABLES …

Barycentric decomposition for quantum instruments

JP Pellonpää, E Haapasalo… - Journal of Physics A …, 2024 - iopscience.iop.org
We present a barycentric decomposition for quantum instruments whose output space is
finite-dimensional and input space is separable. As a special case, we obtain a barycentric …

Uniqueness of the joint measurement and the structure of the set of compatible quantum measurements

L Guerini, M Terra Cunha - Journal of Mathematical Physics, 2018 - pubs.aip.org
We address the problem of characterising the compatible tuples of measurements that admit
a unique joint measurement. We derive a uniqueness criterion based on the method of …

The quantum switch is uniquely defined by its action on unitary operations

Q Dong, MT Quintino, A Soeda, M Murao - Quantum, 2023 - quantum-journal.org
The quantum switch is a quantum process that creates a coherent control between different
unitary operations, which is often described as a quantum process which transforms a pair of …