PSI 2016/2017 - Quantum Information (Multiple Lecturers)
12
talks
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Collection NumberC17005
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.
Displaying 25 - 36 of 1357
Format results
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Talk
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PSI 2016/2017 - Quantum Information Review - Lecture 1
Richard Cleve Institute for Quantum Computing (IQC)
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PSI 2016/2017 - Quantum Information Review - Lecture 2
Richard Cleve Institute for Quantum Computing (IQC)
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PSI 2016/2017 - Quantum Information Review - Lecture 3
Debbie Leung Institute for Quantum Computing (IQC)
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PSI 2016/2017 - Quantum Information Review - Lecture 4
Debbie Leung Institute for Quantum Computing (IQC)
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PSI 2016/2017 - Quantum Information Review - Lecture 5
Daniel Gottesman University of Maryland, College Park
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PSI 2016/2017 - Quantum Information Review - Lecture 6
Daniel Gottesman University of Maryland, College Park
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PSI 2016/2017 - Quantum Information Review - Lecture 7
Kevin Resch Institute for Quantum Computing (IQC)
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PSI 2016/2017 - Quantum Information Review - Lecture 8
Kevin Resch Institute for Quantum Computing (IQC)
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It from Qubit Summer School
62 talks-Collection NumberC16003Talk
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QI Basics - 1
Patrick Hayden Stanford University
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Gravity Basics - 1
Veronika Hubeny University of California, Davis
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Entanglement - 1
Robert Spekkens Perimeter Institute for Theoretical Physics
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GR: Actions and Equations
David Kubiznak Charles University
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A new perspective on holographic entanglement
Matthew Headrick Brandeis University
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Bell’s Theorem
Adrian Kent University of Cambridge
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QI Basics - 2
John Watrous IBM (Canada)
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Quantum Information in Quantum Gravity II
31 talks-Collection NumberC15041Talk
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Gravity Dual of Quantum Information Metric
Tadashi Takayanagi Yukawa Institute for Theoretical Physics
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A new perspective on holographic entanglement
Matthew Headrick Brandeis University
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Universal holographic description of CFT entanglement entropy
Thomas Faulkner University of Illinois Urbana-Champaign
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Geometric Constructs in AdS/CFT
Veronika Hubeny University of California, Davis
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Do black holes create polyamory
Jonathan Oppenheim University College London
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Tensor Network Renormalization and the MERA
Glen Evenbly Georgia Institute of Technology
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Entanglement renormalization for quantum fields
Jutho Haegeman Ghent University
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Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
Fernando Pastawski California Institute of Technology
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Fermions and Gaussianity ; Resources and Simulability
Andrew Projansky -
Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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PSI 2016/2017 - Quantum Information (Multiple Lecturers)
12 talks-Collection NumberC17005PSI 2016/2017 - Quantum Information (Multiple Lecturers) -
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Quantum Information in Quantum Gravity II
31 talks-Collection NumberC15041Quantum Information in Quantum Gravity II -
Review of recent progress in constructing codes with transversal non-Clifford gates
Michael VasmerQuantum codes with transversal non-Clifford gates have many applications in fault tolerant quantum computation, from magic state distillation to robust IQP circuit sampling.
In the past year, there has been spectacular progress on constructing such codes with optimal parameter scaling, i.e., constant encoding rate and constant relative distance.
These constructions rely on quantum versions of algebraic geometry codes, which generalise the well-known Reed-Solomon and Reed-Muller codes. In this talk, we will describe one such construction that yields a family of good codes with a transversal control-control-Z gate, and we will highlight some of the remaining open problems in this area. -
Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Fermions and Gaussianity ; Resources and Simulability
Andrew ProjanskyMatchgates are a well studied class of quantum circuits tied to the time dynamics of Free Fermion Hamiltonians. It is important to note however that Matchgates specifically come from representing Free Fermions with the Jordan-Wigner encoding. When we represent our fermionic systems with other encodings besides Jordan-Wigner, we still are considering the time dynamics of Free Fermion solvable Hamiltonians, but we can introduce complexity in how we encode our fermionic information. This gives us a test ground for clarifying what physical properties make time dynamics hard to simulate, even when Hamiltonians can be exactly diagonalized. In this talk I will discuss the theory behind matchgates, fermionic encodings, and recent results in the simulability of Clifford/matchgate hybrid circuits (arxiv:2312.08447, arxiv:2410.10068). These results clarify resources for Free Fermions represented beyond the Jordan-Wigner encoding, as well as an overall perspective of what it means for a state to be Gaussian. -
Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics
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Classical simulation of noisy quantum circuits via locally entanglement-optimal unravelings
Hakop Pashayan Foxconn
We present a tensor-network-based classical algorithm (equipped with guarantees) for simulating $n$-qubit quantum circuits with arbitrary single-qubit noise. Our algorithm represents the state of a noisy quantum system by a particular ensemble of matrix product states from which we stochastically sample a pure quantum state. Each single qubit noise process acting on a pure state is then represented by the ensemble of states that achieve the minimal average entanglement (the entanglement of formation) between the noisy qubit and the rest of the system. This approach provides a connection between the entanglement of formation and the accuracy of the simulation algorithm. For a given maximum bond dimension $\chi$ and circuit, our algorithm comes with an upper bound on the simulation error (in total variation distance), runs in $poly(n,\chi)$-time and improves upon related prior work (1) in scope: by extending from the three commonly considered noise models to general single qubit noise (2) in performance: by employing a state-dependent locally-entanglement-optimal unraveling and (3) in conceptual contribution: by showing that the fixed unraveling used in prior work becomes equivalent to our choice of unraveling in the special case of depolarizing and dephasing noise acting on a maximally entangled state. This is joint work with Simon Cichy, Paul K. Faehrmann, Lennart Bittel and Jens Eisert.
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Lecture - Quantum Information, PHYS 635
Alex May Perimeter Institute for Theoretical Physics