Quantum stochastic processes and quantum non-Markovian phenomena

S Milz, K Modi - PRX Quantum, 2021 - APS
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 …

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 …

Deterministic transformations between unitary operations: Exponential advantage with adaptive quantum circuits and the power of indefinite causality

MT Quintino, D Ebler - Quantum, 2022 - quantum-journal.org
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) …

Resource theory of causal connection

S Milz, J Bavaresco, G Chiribella - Quantum, 2022 - quantum-journal.org
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 …

Characterising the hierarchy of multi-time quantum processes with classical memory

P Taranto, MT Quintino, M Murao, S Milz - Quantum, 2024 - quantum-journal.org
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 …

Genuine multipartite entanglement in time

S Milz, C Spee, ZP Xu, FA Pollock, K Modi, O Gühne - SciPost Physics, 2021 - scipost.org
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 …

Certifying quantum separability with adaptive polytopes

TA Ohst, XD Yu, O Gühne, CH Nguyen - SciPost Physics, 2024 - scipost.org
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 …

Characterising transformations between quantum objects,'completeness' of quantum properties, and transformations without a fixed causal order

S Milz, MT Quintino - Quantum, 2024 - quantum-journal.org
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 …

Coherent activation of a steerability-breaking channel

HY Ku, KY Lee, PR Lai, JD Lin, YN Chen - Physical Review A, 2023 - APS
The inevitable noise within one-sided device-independent quantum information tasks may
completely break any steering resources. These noisy effects are characterized by the …