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 …
General probabilistic theories: An introduction
M Plávala - Physics Reports, 2023 - Elsevier
We introduce the framework of general probabilistic theories (GPTs for short). GPTs are a
class of operational theories that generalize both finite-dimensional classical and quantum …
class of operational theories that generalize both finite-dimensional classical and quantum …
From time-reversal symmetry to quantum Bayes' rules
Bayes' rule, P (B| A) P (A)= P (A| B) P (B), is one of the simplest yet most profound,
ubiquitous, and far-reaching results of classical probability theory, with applications in any …
ubiquitous, and far-reaching results of classical probability theory, with applications in any …
Probe incompatibility in multiparameter noisy quantum metrology
We derive fundamental bounds on the maximal achievable precision in multiparameter
noisy quantum metrology, valid under the most general entanglement-assisted adaptive …
noisy quantum metrology, valid under the most general entanglement-assisted adaptive …
On quantum states over time
In 2017, D. Horsman, C. Heunen, M. Pusey, J. Barrett and R. Spekkens proved that there is
no physically reasonable assignment that takes a quantum channel and an initial state and …
no physically reasonable assignment that takes a quantum channel and an initial state and …
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 …
Quantum space-time marginal problem: global causal structure from local causal information
Spatial and temporal quantum correlations can be unified in the framework of the pseudo-
density operators (PDOs), and quantum causality between the involved events in an …
density operators (PDOs), and quantum causality between the involved events in an …
Characterizing and quantifying the incompatibility of quantum instruments
Incompatibility of quantum devices is one of the cornerstones of quantum theory, and the
incompatibility of quantum measurements and channels has been linked to quantum …
incompatibility of quantum measurements and channels has been linked to quantum …
Coherent activation of a steerability-breaking channel
The inevitable noise within one-sided device-independent quantum information tasks may
completely break any steering resources. These noisy effects are characterized by the …
completely break any steering resources. These noisy effects are characterized by the …
Quantifying incompatibility between positive operator-valued measures via negativity of the Jordan product
A fundamental feature of quantum mechanics is the incompatibility between quantum
measurements, which leads to the Heisenberg uncertainty relations and is intrinsically …
measurements, which leads to the Heisenberg uncertainty relations and is intrinsically …