Format results
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Higher-order transformations and the causal structure of quantum processes
Hlér Kristjánsson - Université de Montréal
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Correlations, representations and transformers in physics and in AI
Achim Kempf - University of Waterloo
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Commuting operations factorise
Renato Renner - ETH Zurich
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Single-copy activation of Bell nonlocality and entanglement certification via broadcasting of quantum states
Emanuel-Cristian Boghiu - Institute of Photonic Sciences (ICFO)
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Quantum influences and event relativity
Nicholas Ormrod - Perimeter Institute for Theoretical Physics
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The min-entropy of classical quantum combs and some applications
Isaac Smith - Universität Innsbruck
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Causal decompositions of unitary maps
Robin Lorenz - Quantinuum
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Asymptotic Joint Realizability of Properties of Quantum States
Thomas Fraser - University of Copenhagen
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Hamiltonian supermaps: Higher-order quantum transformations of unknown Hamiltonian dynamics
Mio Murao - University of Tokyo
Supermaps are higher-order transformations taking maps as input. We consider quantum algorithms implementing supermaps for the input given by unknown Hamiltonian dynamics, which can be regarded as infinitely divisible unitary operations. We first show a quantum algorithm that approximately but… -
Higher-order transformations and the causal structure of quantum processes
Hlér Kristjánsson - Université de Montréal
In this informal talk, I shall give a short introduction to the field of higher-order quantum transformations, including its subfield of indefinite causal order. I shall discuss some of the motivations and important results in the field, current research directions and open problems, as well… -
Correlations, representations and transformers in physics and in AI
Achim Kempf - University of Waterloo
I will begin by reviewing the general mathematical concept of representation. I will then show that representation theory is more generally applicable than one might expect, for example in quantum foundations, in quantum gravity and in machine learning. In those contexts, I will first talk about the… -
One Hundred Years After Heisenberg: Discovering the World of Simultaneous Measurements of Noncommuting Observables
One hundred years after Heisenberg’s Uncertainty Principle, the question of how to make simultaneous measurements of noncommuting observables lingers. I will survey one hundred years of measurement theory, which brings us to the point where we can formulate how to measure any set observables weakly… -
Commuting operations factorise
Renato Renner - ETH Zurich
Tsirelson’s problem involves two agents, Alice and Bob, who apply measurements on the same quantum system, K. It asks whether commutation, i.e., independence of whether Alice or Bob measures first, is sufficient to conclude that Alice and Bob’s measurements can be factorised so that they act non… -
Single-copy activation of Bell nonlocality and entanglement certification via broadcasting of quantum states
Emanuel-Cristian Boghiu - Institute of Photonic Sciences (ICFO)
Activation of Bell nonlocality refers to the phenomenon where some entangled mixed states that admit a local hidden variable model in the standard Bell scenario nevertheless reveal their nonlocal nature in more exotic measurement scenarios. It has recently been shown that by broadcasting the… -
Quantum influences and event relativity
Nicholas Ormrod - Perimeter Institute for Theoretical Physics
A number of no-go theorems suggest that theories upholding both unitarity and relativity must deny that events are absolute. I'll show how quantum causal influences allow us to articulate an attractive conception of relational events. This will lead us towards a precise, observer-independent… -
From quantum picturalism to quantum NLP and quantum AI
Bob Coecke - Quantinuum
In 2020 our Oxford-based Quantinuum team performed Quantum Natural Language Processing (QNLP) on IBM quantum hardware [1, 2]. Key to having been able to achieve what is conceived as a heavily data-driven task, is the observation that quantum theory and natural language are governed by much of the… -
TBA
Abstract: TBD Zoom Link: https://pitp.zoom.us/j/94487792881?pwd=TU9CTEZGcFBTZXdxaWFFS25rOVlpZz09 -
The min-entropy of classical quantum combs and some applications
Isaac Smith - Universität Innsbruck
It is often the case that interaction with a quantum system does not simply occur between an initial point in time and a final one, but rather over many time steps. In such cases, an interaction at a given time step can have an influence on the dynamics of the system at a much later time. Just as… -
Causal decompositions of unitary maps
Robin Lorenz - Quantinuum
Every unitary map with a factorisation of domain and codomain into subsystems has a well-defined causal structure given by the set of influence relations between its input and output subsystems. A causal decomposition of a unitary map U is, roughly, one that makes all there is to know about U in… -
Asymptotic Joint Realizability of Properties of Quantum States
Thomas Fraser - University of Copenhagen
There are numerous properties of quantum states that one might be interested in characterizing, including statistical moments of observables such as expectations or variances, or more generally purities, entropies, probabilities, eigenvalues, symmetries, marginals, etc. Given a fixed collection of…