Quantum stochastic processes and quantum non-Markovian phenomena
The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …
processes are, of course, also very well studied in biology, chemistry, ecology, geology …
Local disclosure of quantum memory in non-Markovian dynamics
C Bäcker, K Beyer, WT Strunz - Physical Review Letters, 2024 - APS
Non-Markovian processes may arise in physics due to memory effects of environmental
degrees of freedom. For quantum non-Markovianity, it is an ongoing debate to clarify …
degrees of freedom. For quantum non-Markovianity, it is an ongoing debate to clarify …
Deterministic transformations between unitary operations: Exponential advantage with adaptive quantum circuits and the power of indefinite causality
This work analyses the performance of quantum circuits and general processes to transform
$ k $ uses of an arbitrary unitary operation $ U $ into another unitary operation $ f (U) …
$ k $ uses of an arbitrary unitary operation $ U $ into another unitary operation $ f (U) …
Resource theory of causal connection
The capacity of distant parties to send signals to one another is a fundamental requirement
in many information-processing tasks. Such ability is determined by the causal structure …
in many information-processing tasks. Such ability is determined by the causal structure …
Characterising the hierarchy of multi-time quantum processes with classical memory
Memory is the fundamental form of temporal complexity: when present but uncontrollable, it
manifests as non-Markovian noise; conversely, if controllable, memory can be a powerful …
manifests as non-Markovian noise; conversely, if controllable, memory can be a powerful …
Genuine multipartite entanglement in time
While spatial quantum correlations have been studied in great detail, much less is known
about the genuine quantum correlations that can be exhibited by temporal processes …
about the genuine quantum correlations that can be exhibited by temporal processes …
Certifying quantum separability with adaptive polytopes
The concept of entanglement and separability of quantum states is relevant for several fields
in physics. Still, there is a lack of effective operational methods to characterise these …
in physics. Still, there is a lack of effective operational methods to characterise these …
Characterising transformations between quantum objects,'completeness' of quantum properties, and transformations without a fixed causal order
Many fundamental and key objects in quantum mechanics are linear map**s between
particular affine/linear spaces. This structure includes basic quantum elements such as …
particular affine/linear spaces. This structure includes basic quantum elements such as …
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 …
Transformations between arbitrary (quantum) objects and the emergence of indefinite causality
S Milz, MT Quintino - ar**s between
particular affine/linear spaces. This structure includes basic quantum elements such as …
particular affine/linear spaces. This structure includes basic quantum elements such as …