Probabilistic techniques and Quantum Information Theory

Collection Probabilistic techniques and Quantum Information Theory

Organizer(s)

Date(s) 23/10/2017 - 27/10/2017

00:00:00 / 00:00:00

1 26

A Gaussian de Finetti theorem and application to truncations of random Haar matrices

By Anthony Leverrier

de Finetti theorems are pervasive in finite-dimensional quantum information theory as they state that permutation invariant quantum systems are in some sense close to convex mixtures of i. i. d. states. In this work, I’ll consider infinite-dimensional quantum systems that are invariant under a larger symmetry group, namely the unitary group U(n), and show that such states are similarly well approximated by convex mixtures of Gaussian i. i. d. states. I’ll then discuss how to apply this result to study truncations of random Haar unitary matrices. This talk is based on arXiv:1612. 05080.

Information about the video

Date of recording 23/10/2017
Date of publication 31/10/2017
Institution IHP
Format MP4

Domain(s)

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

41:53

published on October 31, 2017

A Gaussian de Finetti theorem and application to truncations of random Haar matrices

By Anthony Leverrier

38:09

published on October 31, 2017

Asymptotic properties of random quantum states and channels

By Zbigniew Puchała

48:06

published on October 31, 2017

Invariant measure for quantum trajectories

By Yan Pautrat

42:19

published on October 31, 2017

Invitation to Random Tensors

By Razvan Gurau

46:38

published on October 31, 2017

MOE estimates for quantum channels arising from random isometries and free probability

By Benoit Collins

42:43

published on October 31, 2017

Matrix liberation process

By Yoshimichi Ueda

49:36

published on October 31, 2017

Number variance and entanglement entropy of trapped fermions via random matrix theory

By Satya Majumdar

45:56

published on November 6, 2017

Additivity questions and tensor powers of random quantum channels

By Motohisa Fukuda

45:38

published on November 6, 2017

Algorithms and lower bounds for entangled XOR games

By Anand Natarajan

46:47

published on November 6, 2017

Concentration of quantum states from quantum functional and transportation cost inequalities

By Nilanjana Datta

38:40

published on November 6, 2017

Dimensionality reduction of SDPs through sketching

By Daniel Stilck Franca

35:35

published on November 6, 2017

Discriminating quantum states: the multiple Chernoff distance

By Ke Li

43:31

published on November 6, 2017

Entropic and metric uncertainty relations for random unitary matrices

By Radosław Adamczak

45:57

published on November 6, 2017

Entropy accumulation

By Omar Fawzi

46:10

published on November 6, 2017

Generic Local Hamiltonians are Gapless

By Ramis Movassagh

47:13

published on November 6, 2017

Identification and information geometry of quantum input-output systems

By Madalin Guta

40:48

published on November 6, 2017

Maximally incompatible quantum observables

By Teiko Heinosaari

47:42

published on November 6, 2017

Non-commutative polynomial optimisation problems in quantum information theory

By Antonio Acín

46:30

published on November 6, 2017

Open problem session

46:26

published on November 6, 2017

Probabilistic techniques for simulating quantum computational supremacy experiments

By Ashley Montanaro

48:15

published on November 6, 2017

Random Matrices and Their Limits

By Roland Speicher

34:33

published on November 6, 2017

Some noncommutative probability aspects of meandric systems

By Ping Zhong

43:25

published on November 6, 2017

Spectral gap of random quantum channels

By Carlos González-Guillén

44:50

published on November 6, 2017

Stability of the set of quantum states

By Stephan Weis

43:24

published on November 6, 2017

The Role of the Transpose in Free Probability: the partial transpose of R-cyclic operators

By James Mingo

44:37

published on December 13, 2017

Distributional symmetries and non commutative notions of independence

By Camille Male

Copyright Carmin.tv 2024

Give feedback