Analysis in Quantum Information Theory - T3 2017

Institut Henri Poincaré via YouTube

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Explore quantum information theory through a comprehensive conference program that systematically examines the field via analytical methods, focusing on operator structures and probabilistic tools. Delve into the intersection of operator algebras, operator spaces, and operator systems with quantum information science, while investigating how interactions with auxiliary spaces play crucial roles in quantum environments. Master probabilistic techniques including concentration of measure, random matrix theory, and large deviation theory, alongside asymptotic geometry of high-dimensional convex bodies from geometric functional analysis. Examine free probability theory developed by Voiculescu for classifying II1 factors in von Neumann algebra theory and its major applications in quantum information. Cover quantum correlations, entanglement manipulation, quantum channels, matrix product operators, quantum divergences, and operator means through expert presentations. Investigate quantum computational supremacy, random quantum states and channels, non-commutative polynomial optimization, and quantum communication protocols. Study quantum error correction, quantum memory, device-independent scenarios, and verification of quantum computation systems. Learn about Hamiltonian simulation, quantum query complexity, and the challenges of building quantum internet infrastructure through cutting-edge research presentations from leading experts in mathematics, computer science, and physics.

Syllabus

Présentation du T3 2017 "Analysis in Quantum Information Theory"
L'ordinateur quantique, vraiment quantique ?
Random quantum correlations are generically non classical
Operator Algebras Aspects of Quantum Teleportation and Superdense Coding
Symmetry versus Conservation Laws in Dynamical Quantum Systems...
Quantum correlations
Asymptotic Completeness and Controllability of Open Quantum Systems
Monogamy and faithfulness of quantum entanglement
C*-algebras and Synchronous Games
Entangled subspaces from quantum groups and their associated quantum channels
Tensoring Positive maps
Alice and Bob and von Neumann
Asymptotic entanglement manipulation under PPT operations: new SDP bounds and irreversibility
Some remarkable gems and persistent difficulties in quantized functional analysis (QFA)
A class of asymmetric gapped Hamiltonians on quantum spin chains and its characterization
Isometric and Contractive of Channels Relative to the Bures Metric
Matrix Product Operators and the algebras that they generate
Different quantum divergences in general von Neumann algebras
Operator means and application to generalized entropies
Quantum correlations, tensor norms, and factorizable quantum channels
Non-commutative L_p Spaces and Asymmetry Measures
The Macaev operator norm, entropy and supramenability
Local Hamiltonians Whose Ground States are Hard to Approximate
Classical vs Quantum communication in XOR games
Positivity of multi-linear maps and applications to quantum information theory
Invitation to Random Tensors
Number variance and entanglement entropy of trapped fermions via random matrix theory
Invariant measure for quantum trajectories
A Gaussian de Finetti theorem and application to truncations of random Haar matrices
Asymptotic properties of random quantum states and channels
Matrix liberation process
MOE estimates for quantum channels arising from random isometries and free probability
Dimensionality reduction of SDPs through sketching
Concentration of quantum states from quantum functional and transportation cost inequalities
Entropic and metric uncertainty relations for random unitary matrices
Asymptotic properties of random quantum states and channels
Non-commutative polynomial optimisation problems in quantum information theory
Algorithms and lower bounds for entangled XOR games
Probabilistic techniques for simulating quantum computational supremacy experiments
The Role of the Transpose in Free Probability: the partial transpose of R-cyclic operators
Distributional symmetries and non commutative notions of independence
Identification and information geometry of quantum input-output systems
Random Matrices and Their Limits
Maximally incompatible quantum observables
Spectral gap of random quantum channels
Discriminating quantum states: the multiple Chernoff distance
Some noncommutative probability aspects of meandric systems
Generic Local Hamiltonians are Gapless
Stability of the set of quantum states
Additivity questions and tensor powers of random quantum channels
Entropy accumulation
A surprising majorization relation and its applications
Efficient decoding of random errors for quantum expander codes
Optimized quantum f-divergences and data processing
Matrix trace inequalities for quantum entropy
Generalized maximum entropy estimation
Capacity Approaching Coding for Low Noise Interactive Quantum Communication
The information cost of quantum memoryless protocols
Quantum information trade-off for Augmented Index
Universal points in the asymptotic spectrum of tensors
What is macroscopic quantum information?
(Some) challenges and tools on a quantum internet
The simplest device-independent scenario with a classical/quantum separation
Verification of Measurement-Based Quantum Computation
Matrix Product Operators and Approximate Quantum Markov Chains
New one-shot protocols for quantum communication tasks
Hamiltonian Simulation and Universal Quantum Hamiltonians
Verifier-on-a-Leash: new schemes for verifiable delegated quantum computation...
The quantum query complexity of sorting under partial information
Resetting uncontrolled quantum systems