Quantum mechanics redefines information and its fundamental properties. Researchers at Perimeter Institute work to understand the properties of quantum information and study which information processing tasks are feasible, and which are infeasible or impossible. This includes research in quantum cryptography, which studies the trade-off between information extraction and disturbance, and its applications. It also includes research in quantum error correction, which involves the study of methods for protecting information against decoherence. Another important side of the field is studying the application of quantum information techniques and insights to other areas of physics, including quantum foundations and condensed matter.
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Instructor Discussion - Beautiful Papers
Pedro Vieira - Perimeter Institute for Theoretical Physics
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The reactivity of quantum experiments
Thomas Schuster - California Institute of Technology (Caltech)
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The Physics of Computation with qLDPC codes
Vedika Khemani
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Probing 2D invertible phases with replica permutations
Michael Levin
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Non-perturbative constraints on phase diagrams of non-equilibrium systems
Tarun Grover - University of California, San Diego
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Strong-to-weak $U(1)$ Symmetry Breaking in Open System Dynamics
Matthew Fisher - University of California, Santa Barbara
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Beyond Measurement: Exponential Advantages in Coherent Quantum Inference
Zhaoyi Li
Quantum inference usually begins by measuring quantum data and converting it into classical information. In this talk, I will consider a different setting in which the desired output remains quantum, allowing coherence to be preserved throughout the inference process. Examples include quantum purity… -
Instructor Discussion - Beautiful Papers
Pedro Vieira - Perimeter Institute for Theoretical Physics
PIRSA:26090024 Course Condensed Matter Mathematical physics Quantum Fields and Strings Quantum Information -
Heisenberg picture simulation of two-dimensional dynamics and its compression
Juan Carrasquilla - ETH Zurich
I will discuss our recent work on simulating and compressing the out-of-equilibrium dynamics of two-dimensional quantum systems using Pauli propagation techniques. In particular, I will discuss compression strategies based on quantum machine learning that offer significant reduction in gate count… -
The reactivity of quantum experiments
Thomas Schuster - California Institute of Technology (Caltech)
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Strongly symmetric Lindbladians: phases, constraints & transitions
Carolyn Zhang
We present simple toy models of mixed state phases and phase transitions beyond thermal transitions, observed from the steady state structure of strongly symmetric local Lindbladians. To diagnose these mixed state phases and phase transitions, we introduce a local marginal fidelity that serves as a… -
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Braided Fusion Complexes: An Algebraic Theory of Gapped Abelian Phases
I will introduce the notion of a braided fusion complex --- a mathematical structure designed to encapsulate the universal fusion and braiding data of abelian excitations of gapped quantum phases. This structure provides a framework for characterizing and classifying fracton phases of matter. -
Probing 2D invertible phases with replica permutations
Michael Levin
I will discuss a class of probes of 2D invertible phases of matter based on replica permutation operators. These probes are defined by introducing multiple replicas of a many-body system and evaluating expectation values of permutation operators acting in different spatial regions. A notable example… -
Non-perturbative constraints on phase diagrams of non-equilibrium systems
Tarun Grover - University of California, San Diego
In this talk I will discuss constraints on renormalization group (RG) flows and the stability of phases in nonequilibrium systems using information-theoretic inequalities, with examples drawn from both quantum and classical settings. The central quantity underlying these constraints is the… -
Strong-to-weak $U(1)$ Symmetry Breaking in Open System Dynamics
Matthew Fisher - University of California, Santa Barbara
n generic open quantum systems, universal dynamical processes tend to exhibit classicality - dissipation washes out quantum effects. Here I consider open quantum dynamics in the presence of a global U(1) symmetry. In mixed states, this symmetry can be either strong or weak, and distinct dynamical… -
Extensive Long-Range Magic in Non-Abelian Topological Orders
Sagar Vijay
I discuss how the low-energy states of non-Abelian topological orders possess extensive magic which is long-ranged, and cannot be eliminated by a constant-depth local unitary circuit. This refines conventional notions of complexity beyond the linear circuit depth which is required to prepare any…