Abstracts: invited talks
Monday
Markus Müller (IQOQI Vienna)
Ruling out exchange statistics beyond Bosons and Fermions with quantum reference frames
Quantum systems invariant under particle exchange are either Bosons or Fermions, even though quantum theory admits in principle more general behavior under permutations. But why do we not observe such “paraparticles” in nature? Here we show how the notion of internal quantum reference frames can shed significant light on this longstanding problem, offering an explanation for the nonexistence of fundamental parastatistics. For this, we reinterpret particle indistinguishability as the absence of a canonical "reference frame of labelling", and the (more general) inability to identify particles even across branches of a superposition as the absence of a quantum reference frame of labelling. This is equivalent to a stronger form of indistinguishability, namely invariance under permutations that are coherently controlled by permutation-invariant observables (such as swapping two particles of their distance is small, and doing nothing otherwise). We show that only Bosons and Fermions, but not paraparticles satisfy this form of invariance under quantum coordinate transformations. Our results demonstrate the explanatory power, but also subtle limitations of quantum covariance principles, and they hint at a generalization of the perspective-neutral framework beyond tensor product subsystems.
🎥 Link to the video: https://player.vimeo.com/video/1129084072
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Jan Glowacki (IQOQI Vienna)
Operational Quantum Frames: from quantum mechanics to quantum field theory and beyond
In this talk I will begin with a concise overview of the development of the operational approach to quantum reference frames (QRFs), tracing the line from its foundational contributions to its most recent applications. I will then introduce the central ideas of the research direction that I am pursuing which aims at developing relational foundations for relativistic quantum physics. The starting point is the application of the operational QRF formalism to the context of the Poincaré group, and establishing connections between this emerging framework and existing formalisms in quantum field theory. This part of the talk will summarize results from a recent preprint written with Samuel Fedida (arXiv:2507.21601). I will conclude by outlining a number of open research directions, highlighting selected topics in more detail depending on the available time and the interests of the audience
🎥 Link to the video: https://player.vimeo.com/video/1129084116
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Masahiro Hotta (Tohoku U)
Microstate reality at the horizon for metric detectors as quantum reference frames
For understanding the horizon of a black hole, quantum reference frames are essential. As their physical representation, we discuss within the framework of classical general relativity the asymptotic symmetries near the horizon and the properties of the microstates they generate.
🎥 Link to the video: https://player.vimeo.com/video/1129084132
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Fabio Mele (Louisiana State U)
Linking quantum error correction and gauge theory via quantum reference frames
One of the defining features of gauge theories is that they describe physics redundantly, in a way that is insensitive to certain local details. This is similar to how quantum error correcting codes (QECCs) protect quantum information from local errors by redundantly encoding logical states into a larger physical space. In this talk, I will show that this analogy is not merely a coincidence but that there is a deeper underlying structural relationship between these two fields. The key ingredient is quantum reference frames (QRFs), a universal toolkit for dealing with symmetries in quantum systems. A choice of QRF defines a split between redundant and physical information in gauge systems, thus establishing a notion of encoding in that context. The result is a precise dictionary between QECCs and QRF setups within the perspective-neutral framework for gauge systems. In particular, focusing on Pauli stabilizer codes, I will show that there is a one-to-one correspondence between maximal correctable error sets and tensor factorizations splitting system from error-generated QRF degrees of freedom. Relative to this split, errors corrupt only redundant frame data, leading to a novel characterization of correctability. The dictionary also reveals a novel error duality, based on Pontryagin duality, between standard Pauli errors and a new class of correctable errors related to gauge-fixing.
Based on: S.Carrozza, A. Chatwin-Davies, P. A. Höhn, F. M. Mele, "A correspondence between quantum error correcting codes and quantum reference frames", arXiv: 2412.15317 [quant-ph]
🎥 Link to the video: https://player.vimeo.com/video/1129084165
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Flaminia Giacomini (Rome Tor Vergata)
Extension of the Einstein Equivalence principle to quantum reference frames
The Einstein Equivalence Principle (EEP), stating that all laws of physics take their special-relativistic form in any local inertial (classical) reference frame, lies at the core of general relativity. Because of its fundamental status, this principle could be a very powerful guide in formulating physical laws at regimes where both gravitational and quantum effects are relevant. The formulation of the EEP only holds when both matter systems and gravity are classical, and we do not know whether we should abandon or modify it when we test it with quantum systems and/or the gravitational field is not classical. In my talk, I propose an extension of the EEP which relies on quantum reference frames, namely the possibility that reference frames can be associated to quantum systems, and hence be in a quantum superposition or entangled relative to each other. In addition, I show that this generalised principle can be tested, for classical gravity, using atom interferometry with quantum clocks. Finally, I will argue that such an extension of the EEP can overcome Penrose’s argument in favour of the classicality of the gravitational field.
🎥 Link to the video: https://player.vimeo.com/video/1129084200
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Tuesday
Edward Witten (IAS)
A background independent algebra in quantum gravity
I consider an algebra of observables along the worldline of an observer as a background independent algebra in quantum gravity.
🎥 Link to the video: https://player.vimeo.com/video/1129084217
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Steve Giddings (UCSB)
Gravitational observables, reference frames, algebras, and puzzles
I will review some aspects of relational observables, describing a classification of types and connection to quantum reference frames. A particular focus will be gravitationally dressed observables, and their connection to departure from the usual algebraic structure of quantum field theory; the transition to type II von Neumann algebras appears to be just a small piece of this. Expected properties of full gravitational dressing raise interesting questions related to holography, and regarding a possible fundamental role for other non-algebraic structure in quantum gravity.
🎥 Link to the video: https://player.vimeo.com/video/1129084239
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Stefan Eccles (Penn State U)
Reference frame applications for gravitational subregions.
I will give an overview of selected applications of dynamical and quantum reference frames to gravitational subregions. This will include the use of quantum clock frames to construct gauge invariant algebras associated with a spacetime subregion (such as a dS static patch), resulting in “crossed product” algebras with well defined density operator descriptions and regularized entropies. It will also include the use of dynamical reference frames in classical gravity to elucidate the origin and role of “edge modes” arising in phase space descriptions of bounded subregions. I'll conclude by outlining a novel formulation of "fluctuation theorems" for spacetime subregions in this classical context.
🎥 Link to the video: https://player.vimeo.com/video/1129084254
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Laurent Freidel (Perimeter)
Quantum Null Rays: effective dynamics and localized gauge invariant observables
In this talk, I'll review the construction of gravitational constraints and of the corresponding phase space along generalized horizons. I will focus my exposé on the study of the Raychauduri Constraint and its quantization, which describes the dynamics of quantum null rays. I will present a detailed construction of the null ray phase space and the localized gauge-invariant observables. Such a construction requires the introduction of a preferred time frame called the dressing time, which includes edge modes that allow localization along a null ray interval. Gauge-invariant observables are then obtained by dressing the fields with the dressing time. We will see how the edge mode symplectic structure can be understood in terms of the integration of degrees of freedom complementary to the chosen region and how the gauge-invariant observables include the covariant area element as a generator of reorientations of the frame. Finally, we will describe how the quantization procedure can be encoded through an effective deformation of the gravitational phase space labelled by a central charge. If time permits, I'll comment on the role the central charge plays in resolving the fundamental problem of time in quantum gravity.
🎥 Link to the video: https://player.vimeo.com/video/1129084286
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Joshua Kirklin (Perimeter)
Quantum Null Rays: area as a quantum reference frame
Elementary quantum reference frames (QRFs) such as clocks have recently led to surprising insights into quantum gravity. But far richer structures should emerge once we consider more full-fledged gravitational QRFs, i.e. quantum coordinate systems. A complete theory of such objects remains elusive, largely due to the subtleties in quantizing diffeomorphism symmetry. Null surfaces provide an ideal simplified setting to explore the properties of quantum coordinates. In this talk, I will show how one may form a useful QRF out of the area degrees of freedom on each light ray: the quantum dressing time. This construction permits relational observables and frame reorientations within an algebraic structure generalizing the crossed product, and consistent with established QRF approaches such as the perspective-neutral formalism. Along the way, I will discuss how diffeomorphism anomalies can be cancelled by the introduction of a suitable classical counterterm; I will describe some implications of the fact that QRFs made from fields (such as the quantum dressing time) must be Kähler-quantised; and I will comment on the consequences of our construction for gravitational entropies.
🎥 Link to the video: https://player.vimeo.com/video/1129084314
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Henrique Gomes (Oxford)
Why quantum reference frames?
Go through a general relativity book (like Wald's) and you won't find many mentions of reference frames. Classically, worrying about 'gauge-invariance' seems optional. There, the implicit assumption that symmetry-related solutions represent the same physical state of affairs suffices for most applications (as long as they can be stated using abstract-index notation). Why do we always bring up talk of reference frames, gauge-fixing, etc, in the quantum domain? I will argue it is because, when superpositions of states are involved, we need to compare solutions, and for that, we need a standard of comparison. And to a certain extent, such a standard is also required at the interface between two subsystems. I will relate this standard to reference frames/dressings/gauge-fixings; interpret obstacles to the existence of such standards in the form of the Gribov ambiguity; and present workarounds to these obstacles, in the form of history-dependent reference frames (also called 'relational connection-forms'). Time allowing, I will give a clear-cut, local example of how the quantum invokes reference frames using the Higgs mechanism.
🎥 Link to the video: https://player.vimeo.com/video/1129084344
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Wednesday
Kasia Rejzner (York U)
Operational QRFs and algebraic structure of relativized observables
I will discuss how adopting an operational description of measurement using quantum reference frames (QRFs) induces nontrivial modifications in the algebraic structure of quantum field theory (QFT). My starting point will be the net of algebras in the the sense of Haag and Kastler, generalized to curved spacetimes. I will focus on the example of a quantum clock coupled to a QFT on de Sitter spacetime in a KMS state, originally analyzed by Chandrasekaran, Longo, Pennington, and Witten. In the work with Chris Fewster, Daan Janssen, Leon Loveridge, and James Waldron, we have reproduced and generalized the results concerning the types of von Neumann algebras arising by constructing relativized observables. We have also linked the existence of the finite trace on such algebras with thermal properties of the QRF.
🎥 Link to the video: https://player.vimeo.com/video/1129084398
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Thursday
Caslav Brukner (IQOQI Vienna)
Indefinite Probabilities from Finite Quantum Reference Frames
While individual measurement outcomes in quantum mechanics cannot be assumed to be predefined—as shown by Bell’s theorem—the probabilities for outcomes of all measurements, and thus the quantum states, are generally taken to be well defined. This assumption implicitly relies on measurements being performed with respect to ideal, unbounded reference frames. We show that when measurements are made relative to finite quantum reference frames, the probabilities themselves become indefinite: even in the limit of infinitely many runs, the relative frequencies cannot be assumed to take predefined values. We establish the fundamental nature of this effect through a Bell-type theorem for relative frequencies. These findings motivate an extension of the notion of the quantum state to scenarios constrained by finite resources.
🎥 Link to the video: https://player.vimeo.com/video/1130102898
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Kristina Giesel (FAU Erlangen)
Dynamical reference frames in quantum gravity
The quantisation of systems involving gravity is often more challenging than for systems in which gravity is absent or is treated classically. This includes, for example, the choice of dynamical reference frames, access to the physical sector of the theory, and the formulation of the dynamics. In the first part of the talk, we will review some choices of dynamical reference frames for canonical quantum gravity that aim to complete the quantisation programme. In the second part, we will consider dynamical reference frames in the context of linearised gravity and possible connections to quantum reference frames
🎥 Link to the video: https://player.vimeo.com/video/1130104702
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Wolfgang Wieland (FAU Erlangen)
The crucial role of quantum reference frames for the light front quantisation programme of gravity
This presentation outlines the role of quantum reference frames for the canonical quantisation of gravitational null initial data. The starting point is a non-perturbative realisation of the radiative phase space on a null boundary for tetradic gravity with the parity violating γ-term (Holst term) in the action. Next, we explain how to introduce reference fields that can serve as quantum clocks at the null front. To remove otherwise problematic UV divergencies, we introduce a regularisation along the angular directions. The two-dimensional cross sections of the light front are thereby tesselated into a fixed number of plaquettes. Each plaquette is the base of a thickened light ray that carries infinitely many radiative modes and additional quantum reference frames. To obtain a representation of the canonical commutation relations, we introduce an auxiliary CFT attached to each plaquette. Finally, we report on two important features of the model. First, the area of each plaquette turns into a quantum operator. Its spectrum is discrete and agrees (up to ordering ambiguities) with related results in loop quantum gravity. Second, the spectrum of the radiated power splits into two sectors. For an asymptotic boundary, the two regimes are separated by the Planck power. Below the Planck power, the spectrum of the radiated power is discrete. Above the Planck power, the spectrum is continuous but the corresponding quantum states exhibit certain pathologies that render them unphysical. Finally, I will discuss a theory-independent framework to construct local amplitudes between boundary states at generic null initial surfaces. The talk is based on arXiv:2402.12578, arXiv:2401.17491, arXiv:2104.05803.
https://iopscience.iop.org/article/10.1088/1361-6382/adb536
https://iopscience.iop.org/article/10.1088/1361-6382/ae0235
🎥 Link to the video: https://player.vimeo.com/video/1130104785
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Thomas Galley (IQOQI Vienna)
On the Goals and Methods of the Quantum Reference Frame Program
In this talk I will ask some very basic questions: what are the different roles played by reference frames classically? which of these roles do different approaches to quantum reference frames (QRFs) try to generalise? what are the main strengths and drawbacks of different approaches to QRFs? I will provide some answers to these questions in part using recent work (https://arxiv.org/abs/2508.09540v2) where a simple three qubit example is used to illustrate the main differences between three contemporary approaches: the perspective neutral, extra-particle and operational approach. The aim of this talk is to prompt discussion about the overall goals of the QRF research program as well as generate discussion about existing frameworks and methods.
🎥 Link to the video: https://player.vimeo.com/video/1130103065
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Anne-Catherine de la Hamette (IQOQI Vienna)
What is observable in a quantum reference frame?
The field of quantum reference frames has seen a lot of progress in recent years, with several distinct frameworks having emerged as a result. This has allowed us to answer various questions on subsystem relativity, frame-dependence of quantum resources, and even non-classical spacetimes and causality. In this talk, we address a remaining fundamental question: in the presence of symmetries, what global properties of a quantum system, such as its total momentum, can be inferred from the perspectives of internal quantum reference frames? Extending both the perspectival and perspective-neutral approaches to arbitrary fixed charge sectors, we consider scenarios in which the entire system, including the reference frames, moves at a fixed total momentum P relative to an external frame. This extension yields modified relative states and observables with QRF transformations that induce an additional P-dependent phase, treating all charge sectors equally. By granting internal observers successively more resources, we identify under which conditions they can infer the total momentum. These results help clarify the relationship between major QRF approaches — perspectival, perspective-neutral, operational, and extra-particle — showing how their differing conclusions stem from different assumptions about which observables are deemed accessible from within. Our findings cast light on scenarios where no global perspective exists, contributing to fundamental questions about relationality and the role of perspectives in quantum theory.
🎥 Link to the video: https://player.vimeo.com/video/1130103029
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Friday
Rob Spekkens (Perimeter)
The Limits of Relational Encoding: Quantum Reference Frames and the Unitary/Antiunitary Divide
Earlier explorations of quantum reference frames taught us two important lessons. First, when an external reference frame for a collective unitary symmetry is unavailable, the implementable states, transformations, and measurements are those of the symmetry-twirled theory—i.e., quantum theory subject to the corresponding superselection rule. Second, a system prepared in a state that breaks the symmetry can serve as a token of the missing frame, and access to this token lifts the superselection rule by encoding information into relational degrees of freedom between system and token. Recent work yields a third lesson: for unitary symmetries, any circuit that relies on an external frame can be simulated without such a frame using only independent, uncorrelated tokens for each system, implying that there exists a simulation that preservesthe circuit’s causal structure. Surprisingly, this conclusion does not generalize to symmetries that fail to be unitary. For the example of time-reversal, which is antiunitary, the twirling operation maps complex-amplitude quantum theory to its real-amplitude counterpart, so a token of a reference frame for time-reversal enables simulation of the complex theory within the real one. However—unlike the unitary case—one cannot always find a simulation that preserves the causal structure, hence neither can one always find a simulation wherein the tokens are independent. This reframes and sharpens recent “real vs complex” separations (e.g., Renou et al. 2021) as a quantum reference frame phenomenon: whether quantum information can be faithfully encoded in system–frame relations depends qualitatively on whether the underlying symmetry is unitary or not. Based on: Ying et al., arXiv:2506.08091.
🎥 Link to the video: https://player.vimeo.com/video/1130103441
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Alexander Smith (St. Anselm/Dartmouth)
Temporal reference frames and relational dynamics
Reference frames are defined by a symmetry because their possible configurations form a group. For temporal frames, the relevant symmetry is the one-parameter group of time translations. Consequently, observables that operationally specify a frame must transform covariantly under this group, motivating a description of time observables by covariant positive‐operator‐valued measures (POVMs).
In this talk, I will review these time observables which evade Pauli’s objection to the existence of a time operator, saturate the time-energy uncertainty relation, and serve as the keystone for two equivalent formulations of relational quantum dynamics:
- The Page-Wootters formalism, in which evolution is encoded in entanglement between a clock and the rest of the system;
- The evolving constants of motion formalism, in which a family of gauge-invariant Dirac observables is constructed that evolve relationally with respect to a chosen clock variable.
Using these formalisms, I will show how unitary dynamics emerges from conditional probabilities and the kinematical structure of quantum theory alone. I will discuss the implications for the measurement problem and describe extensions to interacting clock-system models and quantum field theory.
Finally, I will apply this machinery to relativistic particles carrying internal degrees of freedom that function as clocks measuring their proper time. Remarkably, a novel quantum time-dilation effect arises between two clocks when one is placed in a superposition of different momenta. Using the lifetime of a hydrogen‐like atom as a clock, I will argue that this effect is within reach of near future spectroscopic experiments, thus offering a new test of relativistic quantum mechanics.
🎥 Link to the video: https://player.vimeo.com/video/1130103366
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Max Lock (TU Vienna)
Causality and non-unitary dynamics in the Page–Wootters formalism
This talk will consider two complementary aspects of relational dynamics in constrained quantum systems, in particular within the Page–Wootters formalism. The first part discusses how the operational approach to modelling causality can be embedded in the formalism. In particular it is shown how the identification of system-local interventions fails under a change of reference frame, leading to the breakdown of standard operational causal models. However, explicitly timing interventions via interaction with a clock system allows us to identify a part of the physical Hilbert space on which these interventions can remain system-local in different frames, at the cost of "smearing" them in time. The second part of the talk concerns how certain clock-system interactions seem to lead to time non-locality and non-unitarity, and presents examples of how these effects relate to the choice of clock. It will be shown how the existence of a Page-Wootters model resulting in unitary time evolution leads to a restriction on the structure of the physical Hilbert space.
🎥 Link to the video: https://player.vimeo.com/video/1130103256
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Flavio Mercati (U Burgos)
Quantum-group reference frames
I will introduce and motivate the Hopf-algebraic (quantum group) description of isometries of noncommutative spacetimes, emphasizing the quantum nature of transformations between reference frames. In this context, the notion of reference frame itself must acquire quantum properties. I will then overview recent work describing quantum reference frames via quantum groups of frame transformations, both within noncommutative spacetimes and in more general settings. These developments provide new perspectives on the operational meaning of reference frames and observers in quantum gravity.
🎥 Link to the video: https://player.vimeo.com/video/1130103290
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