This talk will describe a model quantum universe consisting of a very large box containing a screen with two slits and an observer (us) that can pass through the slits. We apply the modern quantum mechanics of closed systems to calculate the probabilities for alternative histories of how we move through the universe and what we see. After passing through the screen with the slits, the quantum state of the universe is a superposition of classically distinguishable histories. We are then living in a superposition. Some frequently asked questions about such situations are answered using this model. In particular we will discuss whether or not if we are living in a superposition we would in some way feel it.
The standard operational framework of quantum theory is time-asymmetric. This asymmetry reflects the capabilities of ordinary agents, who are able to deterministically pre-select the states of quantum systems, but not to deterministically post-select the outcomes of quantum measurements. However, the fundamental dynamics of quantum particles is time-symmetric, and is compatible with a broader class of operations where pre-selections and post-selections are combined in general ways that do not presuppose a definite direction of time. In this talk I introduce a framework for quantum operations with indefinite time direction, providing an example, called the quantum time flip, where an unknown, time-symmetric process is accessed in a coherent superposition of two alternative time directions. To highlight the potential of quantum operations with indefinite time direction, I will show a game where a hypothetical agent with access to the quantum flip can in principle outperform all agents who operate in a definite time direction.
In earlier work, sometimes referred to as quantum linguistics [NewScientist], or as grammatical quantum field theory [by quantum gravity specialist Louis Crane], we for the first time combined grammatical structure with the distributional meanings of machine learning [CSC], which are typically represented in an inner-product space. The key insight was that grammar as well as more general linguistic structure perfectly matches the diagrams of categorical quantum mechanics [CKbook]. Our recipe was not restricted to inner-product space representations, for example, we also used density matrices, and we can also use spacetime as a representation of meanings. In fact, much in language has direct spatio-temporal connotations, either direct or metaphorical, e.g. prepositions like in, after, above etc. In joint work with Vincent Wang we constructed a linguistic model of spacetime, and how it extends to account for many more cognitive features [ConcSpacI] e.g. shape, taste, colour etc. We will argue that linguistic structure is really an interaction/process logic of things happening in the world out there. Hence this work could be a stepping stone to an alternative formalism for combining quantum structure with spacetime, at the crossroads of AI. This is joint work With Vincent Wang.
REFERENCES: [NewScientist] J. Aron. Quantum links let computers read. New Scientist nr 2790, pages 10-11. [CSC] B. Coecke, M. Sadrzadeh, and S. Clark. Mathematical foundations for a compositional distributional model of meaning. In: A Festschrift for Jim Lambek, volume 36 of Linguistic Analysis, pages 345–384. 2010. arxiv:1003.4394. [CKbook] B. Coecke and A. Kissinger. Picturing Quantum Processes. A First Course in Quantum Theory and Diagrammatic Reasoning. Cambridge University Press, 2017. [ConcSpacI] J. Bolt, B. Coecke, F. Genovese, M. Lewis, D. Marsden, and R. Piedeleu. Interacting conceptual spaces I: Grammatical composition of concepts. In: Concepts and their Applications, Synthese Library. 2018. arXiv:1703.08314
Several members of the QISS collaboration will be participating to the Vienna Quantum Foundations Conference 2021, hosted by the University of Vienna and the Institute for Quantum Optics and Quantum Information. Talks will be streamed online and recorded. For more information see https://vqf.iqoqi.oeaw.ac.at
We analyse a gedankenexperiment previously considered by Mari et al. that involves quantum superpositions of charged and/or massive bodies (“particles”) under the control of the observers, Alice and Bob. In the electromagnetic case, we show that the quantization of electromagnetic radiation (which causes decoherence of Alice’s particle) and vacuum fluctuations of the electromagnetic field (which limits Bob’s ability to localize his particle to better than a charge-radius) both are essential for avoiding apparent paradoxes with causality and complementarity. We then analyze the gravitational version of this gedankenexperiment. We show that the analysis of the gravitational case is in complete parallel with the electromagnetic case provided that gravitational radiation is quantized and that vacuum fluctuations limit the localization of a particle to no better than a Planck length. This provides support for the view that (linearized) gravity should have a quantum field description.
I will discuss the challenges and prospects for isolating and exploring gravity as a relevant coupling mechanism in table-top quantum experiments. This includes quantum states of the metric generated by a quantum source mass and possible schemes to measure it. Experimentally, a central role is played by the possibility to achieve quantum control over motional states of levitated solid-state particles.
Abstract: I will talk about some recent developments in the framework of “black box causal reasoning”. In this minimal setting, we assume access to some abstract process and attempt to describe, quantify, or prove properties about the causal relationships between its inputs and outputs. This works both for first-order processes, which can capture e.g. a device shared by multiple agents, or higher-order processes, which captures the universe in which those agents live. This higher-order picture leads naturally to a particular categorical structure that has long been studied in theoretical computer science called a *-autonomous category. Whereas first order processes (e.g. quantum gates) only have two natural notions of composition (in series and in parallel), higher-order processes have an extremely rich and multi-faceted notion of composition guided by the “internal logic” of a *-autonomous category. In this talk, I will highlight some aspects of this logic, show how they can be used for causal reasoning, and discuss some recent extensions and open problems.
Abstract: I describe a recent proposal for a simultaneous completion of quantum mechanics and general relativity, called the causal theory of views (CTV). Among its postulates are that time, in the sense of causal relations amongst events, is fundamental, and that space is emergent-along with everything that depends on space, such as distances, derivatives, fields, locality, non-locality etc. Also assumed real and fundamental are energy and momentum. Each event than has a view of the rest of the universe, which is made by the energy and momentum transferred to it by its causal precedents. To define dynamics we must introduce a measure of distance on the space of views. The idea is that differences of views substitutes for spacial distances and derivatives. The potential energy is then postulated to be a measure of the total diversity of views in the universe, called the variety. The kinetic energy is then related to the variety’s rate of change under causal evolution. The dynamics is defined by a sum over causal histories, from which space and spacetime emerge at the semiclassical approximation. N body nonrelativistic quantum mechanics is also derived, due to the variety reducing to Bohm’s quantum potential. Further steps are sketched. Based on papers: arXiv:1712.04799. with Marina Cortes: arXiv:1307.6167, arXiv:1407.0032, arXiv:1703.09696 , arXiv:1902.05082,
arXiv:1104.2822, arXiv:1506.02938, arXiv:1205.3707
Abstract: Recent arguments purport to show that if quantum theory is universally applicable then there is no objective fact about the outcome of a quantum measurement in certain extended Wigner’s friend Gedankenexperimenten. This calls for an examination of the notions of fact and objectivity. If quantum theory is universally applicable then the facts about the physical world include a fact about each quantum measurement outcome. I will argue that these and other physical facts lack an ideal kind of objectivity but their more modest objectivity is all that science needs.