178 citations · 903 across the 25 of their papers we have counts for
26 papers
Higher-order quantum thermodynamics: equilibrium and causal structure
Simon Milz, Kyrylo Simonov, Zoltán Zimborás +3
Quantum thermodynamics is traditionally formulated as a theory of equilibrium states and state transformations. Recent advances in higher-order quantum transformations, which descr…
The Trinity of Markovian Quantum Thermodynamics: Unifying the Axiomatic, Microscopic, and Operational Paradigms
Yutong Luo, Jakub Czartowski, Felix Hubmann +2
Thermodynamics imposes fundamental constraints on the evolution of quantum systems. These constraints and their dynamical consequences have been formulated within distinct paradigm…
Quantifiers of Noise Reducibility Under Restricted Control
Graeme D. Berk, Kavan Modi, Simon Milz
The correlation structure of multitime quantum processes - succinctly described by quantum combs - is an important resource for many quantum information protocols and control tasks…
Thermodynamic criteria for signaling in quantum channels
Yutong Luo, Simon Milz, Felix C. Binder
Signaling quantum channels are fundamental to quantum communication, enabling the transfer of information from input to output states. In contrast, thermalisation erases informatio…
Higher-Order Quantum Operations
Philip Taranto, Simon Milz, Mio Murao +2
An operational description of quantum phenomena concerns developing models that describe experimentally observed behaviour. $\textit{Higher-order quantum operations}\unicode{x2014}…
Monotones in Resource Theories for Dynamical Decoupling
Graeme D. Berk, Simon Milz, Kavan Modi
In arXiv:2110.02613, we presented a generalised dynamical resource theory framework that enabled noise reduction techniques including dynamical decoupling (DD) to be studied. While…
Characterising the Hierarchy of Multi-time Quantum Processes with Classical Memory
Philip Taranto, Marco Túlio Quintino, Mio Murao +1
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 r…
Witnessing environment dimension through temporal correlations
Lucas B. Vieira, Simon Milz, Giuseppe Vitagliano +1
We introduce a framework to compute upper bounds for temporal correlations achievable in open quantum system dynamics, obtained by repeated measurements on the system. As these cor…
Characterising transformations between quantum objects, 'completeness' of quantum properties, and transformations without a fixed causal order
Simon Milz, Marco Túlio Quintino
Many fundamental and key objects in quantum mechanics are linear mappings between particular affine/linear spaces. This structure includes basic quantum elements such as states, me…
Connecting Commutativity and Classicality for Multi-Time Quantum Processes
Fattah Sakuldee, Philip Taranto, Simon Milz
Understanding the demarcation line between classical and quantum is an important issue in modern physics. The development of such an understanding requires a clear picture of the v…
Hidden Quantum Memory: Is Memory There When Somebody Looks?
Philip Taranto, Thomas J. Elliott, Simon Milz
In classical physics, memoryless dynamics and Markovian statistics are one and the same. This is not true for quantum dynamics, first and foremost because quantum measurements are…
Extracting Quantum Dynamical Resources: Consumption of Non-Markovianity for Noise Reduction
Graeme D. Berk, Simon Milz, Felix A. Pollock +1
Noise is possibly the most formidable challenge for quantum technologies. As such, a great deal of effort is dedicated to developing methods for noise reduction. One remarkable ach…
Resource theory of causal connection
Simon Milz, Jessica Bavaresco, Giulio Chiribella
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…
Quantum stochastic processes and quantum non-Markovian phenomena
Simon Milz, Kavan Modi
The field of classical stochastic processes forms a major branch of mathematics. They are, of course, also very well studied in biology, chemistry, ecology, geology, finance, physi…
Genuine Multipartite Entanglement in Time
Simon Milz, Cornelia Spee, Zhen-Peng Xu +3
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. Employi…
Quantum chicken-egg dilemmas: Delayed-choice causal order and the reality of causal non-separability
Simon Milz, Dominic Jurkschat, Felix A. Pollock +1
Recent frameworks describing quantum mechanics in the absence of a global causal order admit the existence of causally indefinite processes, where it is impossible to ascribe causa…
When is a non-Markovian quantum process classical?
Simon Milz, Dario Egloff, Philip Taranto +4
More than a century after the inception of quantum theory, the question of which traits and phenomena are fundamentally quantum remains under debate. Here we give an answer to this…
Completely Positive Divisibility Does Not Mean Markovianity
Simon Milz, M. S. Kim, Felix A. Pollock +1
In the classical domain, it is well-known that divisibility does not imply that a stochastic process is Markovian. However, for quantum processes, divisibility is often considered…
The Structure of Quantum Stochastic Processes with Finite Markov Order
Philip Taranto, Simon Milz, Felix A. Pollock +1
Non-Markovian quantum processes exhibit different memory effects when measured in different ways; an unambiguous characterization of memory length requires accounting for the seque…
Quantum Markov Order
Philip Taranto, Felix A. Pollock, Simon Milz +2
We formally extend the notion of Markov order to open quantum processes by accounting for the instruments used to probe the system of interest at different times. Our description r…
Non-Markovian quantum control as coherent stochastic trajectories
Fattah Sakuldee, Simon Milz, Felix A. Pollock +1
We develop a notion of stochastic quantum trajectories. First, we construct a basis set of trajectories, called elementary trajectories, and go on to show that any quantum dynamica…
Kolmogorov extension theorem for (quantum) causal modelling and general probabilistic theories
Simon Milz, Fattah Sakuldee, Felix A. Pollock +1
In classical physics, the Kolmogorov extension theorem lays the foundation for the theory of stochastic processes. It has been known for a long time that, in its original form, thi…
Entanglement, non-Markovianity, and causal non-separability
Simon Milz, Felix A. Pollock, Thao P. Le +2
Quantum mechanics, in principle, allows for processes with indefinite causal order. However, most of these causal anomalies have not yet been detected experimentally. We show that…
An introduction to operational quantum dynamics
Simon Milz, Felix A. Pollock, Kavan Modi
In the summer of 2016, physicists gathered in Torun, Poland for the 48th annual Symposium on Mathematical Physics. This Symposium was special; it celebrated the 40th anniversary of…