Lecture Series on Operational General Relativity
6
talks
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Collection Number
C17054
Quantum foundations concerns the conceptual and mathematical underpinnings of quantum theory. In particular, we search for novel quantum effects, consider how to interpret the formalism, ask where the formalism comes from, and how we might modify it. Research at Perimeter Institute is particularly concerned with reconstructing quantum theory from more natural postulates and reformulating the theory in ways that elucidate its conceptual structure. Research in the foundations of quantum theory naturally interfaces with research in quantum information and quantum gravity.
Displaying 13 - 24 of 1183
Format results
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Talk
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Operational General Relativity - Lecture 1
Perimeter Institute for Theoretical Physics -
Operational General Relativity - Lecture 2
Perimeter Institute for Theoretical Physics -
Operational General Relativity - Lecture 3
Perimeter Institute for Theoretical Physics -
Operational General Relativity - Lecture 4
Perimeter Institute for Theoretical Physics -
Operational General Relativity - Lecture 5
Perimeter Institute for Theoretical Physics -
Operational General Relativity - Lecture 6
Perimeter Institute for Theoretical Physics
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Semisimple Hopf algebras and fusion categories
Universidad de los Andes -
The Hopf C*-algebraic quantum double models - symmetries beyond group theory
Freie Universität Berlin -
Modular categories and the Witt group
Radboud Universiteit Nijmegen -
Topological Quantum Computation
Texas A&M University -
Gapped phases of matter vs. Topological field theories
Perimeter Institute for Theoretical Physics -
An Introduction to Hopf Algebra Gauge Theory
University of Erlangen-Nuremberg -
Kitaev lattice models as a Hopf algebra gauge theory
University of Erlangen-Nuremberg -
Topological defects and higher-categorical structures
Karlstad University
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Contextuality: Conceptual Issues, Operational Signatures, and Applications
23 talks-Collection NumberC17027Talk
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Welcome and Opening Remarks
Perimeter Institute for Theoretical Physics -
Quantum Mechanics in a New Key
Princeton University -
What do we learn about quantum theory from Kochen-Specker quantum contextuality?
Universidad de Sevilla -
Noncontextuality: how we should define it, why it is natural, and what to do about its failure
Perimeter Institute for Theoretical Physics -
Towards a mathematical theory of contextuality
University of Oxford -
Kochen-Specker contextuality: a hypergraph approach with operational equivalences
Gdańsk University of Technology -
The contextual fraction as a measure of contextuality
University of Edinburgh -
Nonlocality and contextuality as fine-tuning
Griffith University
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Experimental Quantum Foundations
5 talks-Collection NumberC16034Talk
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Direct experimental reconstruction of the Bloch sphere
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Institute for Quantum Computing (IQC)
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University of York
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Single-photon test of Hyper-Complex Quantum Theories
University of Vienna -
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Experimental implementation of quantum-coherent mixtures of causal relations
Perimeter Institute for Theoretical Physics
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Formulating and Finding Higher-Order Interference
9 talks-Collection NumberC16018Talk
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Does relativistic causality constrain interference phenomena?
Institute for Quantum Optics and Quantum Information (IQOQI) - Vienna -
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Time in Cosmology
14 talks-Collection NumberC16016Talk
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Welcome and Opening Remarks
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Institute for Astrophysics and Space Sciences
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Perimeter Institute for Theoretical Physics
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University of Edinburgh
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The origin of arrows of time II
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California Institute of Technology (Caltech) - Division of Physics Mathematics & Astronomy
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Institute for Astrophysics and Space Sciences
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Technical University of Applied Sciences Würzburg-Schweinfurt
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The origin of arrows of time II cont.
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California Institute of Technology (Caltech) - Division of Physics Mathematics & Astronomy
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Institute for Astrophysics and Space Sciences
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Technical University of Applied Sciences Würzburg-Schweinfurt
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Testing time asymmetry in the early universe
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University of California, San Diego
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University of Lisbon
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University of California, Berkeley
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The fate of the big bang
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Pennsylvania State University
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University of Edinburgh
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Time as Organization – Downward Caustation, Structure and Complexity I
Technische Universität Darmstadt -
Time as Organization – Downward Caustation, Structure and Complexity II
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Santa Fe Institute
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University of Cape Town
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Concepts and Paradoxes in a Quantum Universe
44 talks-Collection NumberC16015Talk
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Finally making sense of Quantum Mechanics, part 1
Chapman University -
How to count one photon and get a(n average) result of 1000...
University of Toronto -
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The Quantum Tip of the Two-Vector Iceberg
Israeli Institute for Advanced Research -
The arrow of time for continuous quantum measurements
University of Rochester -
Observation of Aharonov-Bohm effect with quantum tunneling
Institute for Molecular Science, National Institutes of Natural Sciences -
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Concepts and Paradoxes
11 talks-Collection NumberC16008Talk
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Quantum Paradoxes; Weak Measurement, Weak Values, and Protective Measurement
Chapman University -
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Sudden Sharp Forces and Nonlocal Interactions
Chapman University -
Protective Measurement and Ergodicity
Chapman University -
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Lecture - Quantum Theory, PHYS 605
Perimeter Institute for Theoretical Physics -
Lecture - Quantum Theory, PHYS 605
Perimeter Institute for Theoretical Physics -
Lecture - Quantum Theory, PHYS 605
Perimeter Institute for Theoretical Physics
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Lecture Series on Operational General Relativity
6 talks-Collection NumberC17054Lecture Series on Operational General Relativity -
Hopf Algebras in Kitaev's Quantum Double Models: Mathematical Connections from Gauge Theory to Topological Quantum Computing and Categorical Quantum Mechanics
18 talks-Collection NumberC17029The Kitaev quantum double models are a family of topologically ordered spin models originally proposed to exploit the novel condensed matter phenomenology of topological phases for fault-tolerant quantum computation. Their physics is inherited from topological quantum field theories, while their underlying mathematical structure is based on a class of Hopf algebras. This structure is also seen across diverse fields of physics, and so allows connections to be made between the Kitaev models and topics as varied as quantum gauge theory and modified strong complementarity. This workshop will explore this shared mathematical structure and in so doing develop the connections between the fields of mathematical physics, quantum gravity, quantum information, condensed matter and quantum foundations.
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Contextuality: Conceptual Issues, Operational Signatures, and Applications
23 talks-Collection NumberC170272017 marks 50 years since the seminal 1967 article of Kochen and Specker proving that quantum theory fails to admit of a noncontextual model. Despite the fact that the Kochen-Specker theorem is one of the seminal results concerning the foundations of quantum theory, there has never been a large conference dedicated to the subject. The 50-year anniversary of the theorem seems an opportune time to remedy this oversight. Furthermore, in the last decade, there have been tremendous advances in the field. New life has been breathed into the subject as old conceptual issues have been re-examined from a new information-theoretic perspective. Importantly, there has been great progress in making the notion of noncontextuality robust to noise and therefore experimentally testable. Finally, there is mounting evidence that the resource that powers many quantum advantages for information processing is contextuality. In particular, it has been shown to underlie the possibility of universal quantum computation. Many groups worldwide are actively engaged in advancing our knowledge on each of these fronts and in deepening our understanding of the distinction between quantum and classical theories through the lens of contextuality. Through this conference, we aim to bring together leading researchers in the field in order to develop a broader perspective on the issues, draw connections between different approaches, foster a more cohesive community, and set objectives for future research.
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Experimental Quantum Foundations
5 talks-Collection NumberC16034Experimental Quantum Foundations -
Formulating and Finding Higher-Order Interference
9 talks-Collection NumberC16018Formulating and Finding Higher-Order Interference
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Concepts and Paradoxes in a Quantum Universe
44 talks-Collection NumberC16015Concepts and Paradoxes in a Quantum Universe
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Measurement incompatibility implies irreversible disturbance
To justify the existence of measurements that can not be performed jointly on quantum systems, Heisenberg put forward a heuristic argument, involving the famous gamma-ray microscope Gedankenexperiment, based on the existence of measurements that irreversibly alter the physical system on which they act. Today, the impossibility of jointly measuring some physical quantities, termed measurement incompatibility, and irreversible disturbance, namely the existence of operations that irreversibly alter the system on which they act, are understood to be distinct but related features of quantum mechanics. In our work, we formally characterized the relationship between these two properties, showing that measurement incompatibility implies irreversible disturbance, though the converse is false. The counterexamples are two toy theories: Minimal Classical Theory and Minimal Strongly Causal Bilocal Classical Theory. These two are distinct as counterexamples because the latter allows for classical conditioning. Our research followed an operational approach exploiting the framework of Operational Probabilistic Theories. In particular, it required the development of two new classes of operational theories: Minimal Operational Probabilistic Theories and Minimal Strongly Causal Operational Probabilistic Theories. These theories are characterized by a restricted set of dynamics, limited to the minimal set consistent with the set of states. In Minimal Strongly Causal Operational Probabilistic Theories, classical conditioning is also allowed.
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Lecture - Quantum Theory, PHYS 605
Perimeter Institute for Theoretical Physics -
Lecture - Quantum Theory, PHYS 605
Perimeter Institute for Theoretical Physics -
Lecture - Quantum Theory, PHYS 605
Perimeter Institute for Theoretical Physics