Mathematical Challenges in Quantum Information

by Cambridge University

Quantum information is currently one of the most dynamic and exciting areas of science and technology. Its breadth of significance ranges from deep fundamental issues of the ultimate physical limits of information processing and foundations of quantum mechanics, to the technological exploitation of quantum physics for exponentially enhanced computing power and novel possibilities for communication and information security. It is a highly cross-disciplinary subject with essential inputs from computer science, information theory, mathematics, quantum physics, engineering and others. In view of the central role of information processing and communication in most aspects of modern society, government and daily life, the transformative potential of Quantum Information for 21st century technology is immense.Read more at http://www.newton.ac.uk/programmes/MQI/

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Recent Episodes
  • Compression of correlated quantum-classical sources, or: the price of ignorance
    Jul 24, 2018 – 26:20
  • A constructive algorithm for the commutative Quantum Lovász Local Lemma
    Dec 2, 2013 – 01:00:00
  • A graph-theoretic approach to quantum correlations and the exclusivity principle
    Sep 20, 2013 – 01:05:00
  • A mod-p generalization of the CHSH game
    Nov 15, 2013 – 01:01:00
  • A new definition for the quantum conditional Rényi entropy
    Sep 6, 2013 – 01:05:00
  • A polynomial-time algorithm for the ground state of 1D gapped local Hamiltonians
    Nov 29, 2013 – 01:00:00
  • A solution of the Gaussian optimizer conjecture
    Sep 29, 2014 – 01:07:00
  • A variational eigenvalue solver on a quantum processor
    Nov 29, 2013 – 54:07
  • Additivity of entropic uncertainty relations
    Jul 24, 2018 – 34:23
  • Applications of non-reductive groups in Quantum Information Theory
    Oct 17, 2013 – 01:08:00
  • Boson sampling in the light of sampling complexity: A review
    Nov 29, 2013 – 01:07:00
  • Boson-Sampling in the light of sample complexity
    Sep 9, 2013 – 33:46
  • Classical and quantum de Finetti theorems
    Sep 4, 2013 – 01:00:00
  • Classical and quantum features of Schur transform for information processing
    Jul 27, 2018 – 40:09
  • Coherence distillation machines are impossible in quantum thermodynamics
    Jul 25, 2018 – 48:04
  • Complexity classification of local Hamiltonian problems
    Nov 29, 2013 – 59:18
  • Continuous nonlocal games: why quantum nonlocality is not dominated
    Oct 17, 2013 – 40:08
  • Correlations, area laws, and stability of open and thermal many-body quantum systems
    Mar 25, 2014 – 01:04:00
  • Correlations, area laws, and stability of open and thermal many-body quantum systems
    Nov 4, 2013 – 01:04:00
  • Decay of correlation for random intermittent maps
    Nov 28, 2013 – 01:03:00
  • Dephrasure channel and superadditivity of coherent information
    Jul 27, 2018 – 44:01
  • Different Circuit-to-Hamiltonian Constructions and their application for QMA
    Oct 22, 2013 – 01:03:00
  • Dénes Petz' legacy in quantum information theory
    Jul 27, 2018 – 47:43
  • Eigencones and Levi movability
    Oct 16, 2013 – 01:07:00
  • Entanglement recycling and generalized teleportation
    Sep 9, 2013 – 21:31
  • Entropy Accumulation: The Theorem and a Conjecture
    Jul 24, 2018 – 01:02:00
  • Exact quantum algorithms
    Sep 9, 2013 – 49:50
  • Free compression norms and Lp norms
    Sep 5, 2013 – 01:01:00
  • Functional inequalities and the study of the speed of decoherence of an open quantum system
    Jul 27, 2018 – 50:26
  • Gaussian quantum resource theories
    Jul 25, 2018 – 44:14
  • Graph Isomorphism: Quantum Ideas
    Dec 2, 2013 – 56:01
  • Graph Isomorphism: Quantum Ideas
    Dec 10, 2013 – 56:01
  • Group representations and quantum information theory
    Oct 16, 2013 – 01:04:00
  • Holographic tutorial
    Oct 3, 2013 – 01:10:00
  • Inequalities for the Ranks of Quantum States
    Nov 4, 2013 – 01:05:00
  • Information-Theoretic Extensions of the Shannon-Nyquist Sampling Theorem
    Jul 24, 2018 – 44:00
  • Inverting well-conditioned matrices in Quantum Logspace
    Nov 29, 2013 – 50:30
  • Lecture 1 - Quantum walk and learning graph based algorithms (a tutorial)
    Sep 6, 2013 – 01:07:00
  • Lecture 1: A Primer in Random Matrix Theory
    Sep 5, 2013 – 57:00
  • Lecture 1: Concentration of measure (tutorial)
    Sep 6, 2013 – 01:02:00
  • Lecture 1: Entanglement in quantum interactive proofs (tutorial)
    Sep 4, 2013 – 01:02:00
  • Lecture 1: Information-Theoretic Techniques in Many-Body Physics
    Sep 4, 2013 – 01:01:00
  • Lecture 1: Introduction to Quantum Complexity (tutorial)
    Sep 6, 2013 – 53:48
  • Lecture 1: Operator Space theory: a natural framework for Bell inequalities
    Sep 4, 2013 – 01:04:00
  • Lecture 1: Random matrix theory with a view towards free probability, and connections to quantum information
    Sep 4, 2013 – 01:01:00
  • Lecture 2 - Quantum walk and learning graph based algorithms (a tutorial)
    Sep 9, 2013 – 01:01:00
  • Lecture 2: A Primer in Random Matrix Theory
    Sep 6, 2013 – 01:07:00
  • Lecture 2: Concentration of measure (tutorial)
    Sep 9, 2013 – 01:00:00
  • Lecture 2: Entanglement in quantum interactive proofs (tutorial)
    Sep 4, 2013 – 01:03:00
  • Lecture 2: Information-Theoretic Techniques in Many-Body Physics
    Sep 4, 2013 – 55:36
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