Colloquium: Incompatible measurements in quantum information science
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 …
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 …
entanglement is proposed. The concept of general robustness measures is first introduced …
Quantum channel marginal problem
Given a set of local dynamics, are they compatible with a global dynamics? We
systematically formulate these questions as quantum channel marginal problems. These …
systematically formulate these questions as quantum channel marginal problems. These …
Witnessing incompatibility of quantum channels
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 …
affine functional that is non-negative on all pairs of compatible channels and strictly negative …
Optimal quantum observables
Various forms of optimality for quantum observables described as normalized positive-
operator-valued measures (POVMs) are studied in this paper. We give characterizations for …
operator-valued measures (POVMs) are studied in this paper. We give characterizations for …
Amount of quantum coherence needed for measurement incompatibility
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 …
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 …
ON COEXISTENCE AND JOINT MEASURABILITY OF RANK-1 QUANTUM OBSERVABLES …
Barycentric decomposition for quantum instruments
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 …
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
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 …
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
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 …
unitary operations, which is often described as a quantum process which transforms a pair of …