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Continuous-variable entanglement distillation and non-commutative central limit theorems

Earl Campbell University of Sheffield
April 15, 2013

PIRSA:13040122
Quantum Information
12/13 PSI - Explorations in String Theory Lecture 6

Pedro Vieira Perimeter Institute for Theoretical Physics
April 15, 2013

PIRSA:13040091
Quantum Fields and Strings
12/13 PSI - Explorations in Cosmology Lecture 6

Matthew Johnson York University
April 15, 2013

PIRSA:13040069
Cosmology
12/13 PSI - Explorations in String Theory Lecture 5

Pedro Vieira Perimeter Institute for Theoretical Physics
April 12, 2013

PIRSA:13040088
Quantum Fields and Strings
12/13 PSI - Explorations in Cosmology Lecture 5

Matthew Johnson York University
April 12, 2013

PIRSA:13040066
Cosmology
Advanced General Relativity - Lecture 24

Rafael Sorkin Perimeter Institute for Theoretical Physics

April 11, 2013

PIRSA:13040010
Quantum causal dynamics without absolute space or time
April 11, 2013

PIRSA:13040083
Quantum Gravity
Spinning black-hole binaries as gravitational and cosmological probes

Enrico Barausse SISSA International School for Advanced Studies
April 11, 2013

PIRSA:13040082
Strong Gravity
12/13 PSI - Explorations in String Theory Lecture 4

Pedro Vieira Perimeter Institute for Theoretical Physics
April 11, 2013

PIRSA:13040087
Quantum Fields and Strings
Large Scale Bayesian Inference in Cosmology

Jens Jasche Institut d'Astrophysique de Paris
April 11, 2013

PIRSA:13040119
Cosmology
12/13 PSI - Explorations in Cosmology Lecture 4

Matthew Johnson York University
April 11, 2013

PIRSA:13040065
Cosmology
Topological insulator of bosons in 3d via dyon condensation and the statistical Witten effect.

Max Metlitski Massachusetts Institute of Technology (MIT) - Department of Physics
April 10, 2013

PIRSA:13040117
Condensed Matter

Continuous-variable entanglement distillation and non-commutative central limit theorems

Earl Campbell University of Sheffield
April 15, 2013

PIRSA:13040122
Quantum Information
Entanglement distillation transforms weakly entangled noisy states into highly entangled states, a primitive to be used in quantum repeater schemes and other protocols designed for quantum communication and key distribution. In this work, we present a comprehensive framework for continuous-variable entanglement distillation schemes that convert noisy non-Gaussian states into Gaussian ones in many iterations of the protocol. Instances of these protocols include the recursive Gaussifier protocol and the pumping Gaussifier protocol. The flexibility of these protocols give rise to several beneficial trade-offs related to success probabilities or memory requirements that can be adjusted to reflect experimental specifics. Despite these protocols involving measurements, we relate the convergence in this protocols to new instances of non-commutative central limit theorems. Implications of the findings for quantum repeater schemes are discussed.
12/13 PSI - Explorations in String Theory Lecture 6

Pedro Vieira Perimeter Institute for Theoretical Physics
April 15, 2013

PIRSA:13040091
Quantum Fields and Strings
12/13 PSI - Explorations in Cosmology Lecture 6

Matthew Johnson York University
April 15, 2013

PIRSA:13040069
Cosmology
12/13 PSI - Explorations in String Theory Lecture 5

Pedro Vieira Perimeter Institute for Theoretical Physics
April 12, 2013

PIRSA:13040088
Quantum Fields and Strings
12/13 PSI - Explorations in Cosmology Lecture 5

Matthew Johnson York University
April 12, 2013

PIRSA:13040066
Cosmology
Advanced General Relativity - Lecture 24

Rafael Sorkin Perimeter Institute for Theoretical Physics

April 11, 2013

PIRSA:13040010
Quantum causal dynamics without absolute space or time
April 11, 2013

PIRSA:13040083
Quantum Gravity
I will describe a discrete model of spacetime which is quantum-mechanical, causal, and background free. The kinematics is described by networks whose vertices are labelled with arrows. These networks can be evolved forwards (or backwards) in time by using unitary replacement rules. The arrow structure permits one to define dynamics without using an absolute time parameter. Based on arXiv:1201.2489.
Spinning black-hole binaries as gravitational and cosmological probes

Enrico Barausse SISSA International School for Advanced Studies
April 11, 2013

PIRSA:13040082
Strong Gravity
12/13 PSI - Explorations in String Theory Lecture 4

Pedro Vieira Perimeter Institute for Theoretical Physics
April 11, 2013

PIRSA:13040087
Quantum Fields and Strings
Large Scale Bayesian Inference in Cosmology

Jens Jasche Institut d'Astrophysique de Paris
April 11, 2013

PIRSA:13040119
Cosmology
Already the last decade has witnessed unprecedented progress in the collection of cosmological data. Presently proposed and designed future cosmological probes and surveys permit us to anticipate the upcoming avalanche of cosmological information during the next decades.
The increase of valuable observations needs to be accompanied with the development of efficient and accurate information processing technology in order to analyse and interpret this data. In particular, cosmography projects, aiming at studying the origin and inhomogeneous evolution of
the Universe, involve high dimensional inference methods. For example, 3d cosmological density and velocity field inference requires to explore on the order of 10^7 or more parameters. Consequently, such projects critically rely on state-of-the-art information processing techniques
and, nevertheless, are often on the verge of numerical feasibility with present day computational resources. For this reason, in this talk I will address the problem of high dimensional Bayesian inference from cosmological data sets, subject to a variety of statistical and systematic uncertainties. In particular, I will focus on the discussion of selected Markov Chain Monte Carlo techniques, permitting to efficiently solve inference problems with on the order of 10^7 parameters. Furthermore, these methods will be exemplified in various cosmological applications, raging from 3d non-linear density and photometric redshift inference to 4d physical state inference. These techniques permit us to exploit cosmologically relevant information from
observations to unprecedented detail and hence will significantly contribute to the era of precision cosmology.
12/13 PSI - Explorations in Cosmology Lecture 4

Matthew Johnson York University
April 11, 2013

PIRSA:13040065
Cosmology
Topological insulator of bosons in 3d via dyon condensation and the statistical Witten effect.

Max Metlitski Massachusetts Institute of Technology (MIT) - Department of Physics
April 10, 2013

PIRSA:13040117
Condensed Matter
In this talk, I will construct a symmetry protected topological phase of bosons in 3d with particle number conservation and time reversal symmetries, which is the direct bosonic analogue of the familiar electron topological insulator. The construction employs a parton decomposition of bosons, followed by condensation of parton-monopole composites. The surface of the resulting state supports a gapped symmetry respecting phase with intrinsic toric code topological order where both e and m anyons carry charge 1=2. It is well-known that one signature of the 3d electron topological insulator is the Witten eect: if the system is coupled to a compact electromagnetic gauge eld, a monopole in the bulk acquires a half-odd-integer polarization charge. I will discuss the corresponding phenomenon for the constructed topological insulator of bosons: a monopole can remain electrically neutral, but its statistics are transmuted from bosonic to fermionic. This \sta- tistical Witten eect" guarantees that the surface is either gapless, symmetry broken or carries an intrinsic topological order.

Title	Date	Collection	Type	Info
Continuous-variable entanglement distillation and non-commutative central limit theorems	2013‑04‑15	Perimeter Institute Quantum Discussions	Scientific Series	View details
12/13 PSI - Explorations in String Theory Lecture 6	2013‑04‑15	12/13 PSI - Eplorations in String Theory	Course	View details
12/13 PSI - Explorations in Cosmology Lecture 6	2013‑04‑15	12/13 PSI - Explorations in Cosmology	Course	View details
12/13 PSI - Explorations in String Theory Lecture 5	2013‑04‑12	12/13 PSI - Eplorations in String Theory	Course	View details
12/13 PSI - Explorations in Cosmology Lecture 5	2013‑04‑12	12/13 PSI - Explorations in Cosmology	Course	View details
Advanced General Relativity - Lecture 24	2013‑04‑11	Elements of General Relativity	Course	View details
Quantum causal dynamics without absolute space or time	2013‑04‑11	Quantum Gravity	Scientific Series	View details
Spinning black-hole binaries as gravitational and cosmological probes	2013‑04‑11	Strong Gravity	Scientific Series	View details
12/13 PSI - Explorations in String Theory Lecture 4	2013‑04‑11	12/13 PSI - Eplorations in String Theory	Course	View details
Large Scale Bayesian Inference in Cosmology	2013‑04‑11	Cosmology and Gravitation	Scientific Series	View details
12/13 PSI - Explorations in Cosmology Lecture 4	2013‑04‑11	12/13 PSI - Explorations in Cosmology	Course	View details
Topological insulator of bosons in 3d via dyon condensation and the statistical Witten effect.	2013‑04‑10	Quantum Matter	Scientific Series	View details

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