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Quantum States are Consistent Probability Distributions

Nadish de Silva University of Oxford
September 12, 2013

PIRSA:13090070
Quantum Physics
Holography without Strings - Joint Quantum Gravity and String Theory Seminar

Donald Marolf University of California, Santa Barbara
September 12, 2013

PIRSA:13090060
General Relativity & Quantum Cosmology
13/14 PSI - Quantum Theory - Lecture 4

Joseph Emerson Institute for Quantum Computing (IQC)

September 12, 2013

PIRSA:13090033
13/14 PSI - Relativity - Lecture 4b

Neil Turok University of Edinburgh

September 12, 2013

PIRSA:13090075
13/14 PSI - Relativity - Lecture 4

Neil Turok University of Edinburgh

September 12, 2013

PIRSA:13090014
The Era of Three Generations: Possible hints from neutrinos in elucidating the matter/antimatter asymmetry of the Universe
September 11, 2013

PIRSA:13090065
High Energy Physics
13/14 PSI - Quantum Theory - Lecture 3

Joseph Emerson Institute for Quantum Computing (IQC)

September 11, 2013

PIRSA:13090032
13/14 PSI - Relativity - Lecture 3

Neil Turok University of Edinburgh

September 11, 2013

PIRSA:13090013
Quantum Observables as Real-valued Functions and Quantum Probability
September 10, 2013

PIRSA:13090068
Quantum Physics
From dlogs to dilogs

Arthur Lipstein Durham University
September 10, 2013

PIRSA:13090049
High Energy Physics
13/14 PSI - Quantum Theory - Lecture 2

Joseph Emerson Institute for Quantum Computing (IQC)

September 10, 2013

PIRSA:13090031
13/14 PSI - Relativity - Lecture 2

Neil Turok University of Edinburgh

September 10, 2013

PIRSA:13090012

Quantum States are Consistent Probability Distributions

Nadish de Silva University of Oxford
September 12, 2013

PIRSA:13090070
Quantum Physics
We describe a notion of state for a quantum system which is given in terms of a collection of empirically realizable probability distributions and is formally analogous to the familiar concept of state from classical statistical mechanics. We first demonstrate the mathematical equivalence of this new notion to the standard quantum notion of density matrix. We identify the simple logical consistency condition (a generalization of the familiar no-signalling condition) which a collection of distributions must obey in order to reconstruct the unique quantum state from which they arise. In this way, we achieve a formal expression of the common intuition of a quantum state as being classical distributions on compatible observables.
Holography without Strings - Joint Quantum Gravity and String Theory Seminar

Donald Marolf University of California, Santa Barbara
September 12, 2013

PIRSA:13090060
General Relativity & Quantum Cosmology
A defining feature of holographic dualities is that, along with the bulk equations of motion, boundary correlators at any given time t determine those of observables deep in the bulk. We argue that this property emerges from the bulk gravitational Gauss law together with bulk quantum entanglement as embodied in the Reeh-Schlieder theorem. Stringy bulk degrees of freedom are not required and play little role even when they exist. As an example we study a toy model whose matter sector is a free scalar field. The energy density (\rho) sources what we call a pseudo-Newtonian potential (\Phi) through Poisson's equation on each constant time surface, but there is no back-reaction on the matter. We show the Hamiltonian to be essentially self-adjoint on the domain generated from the vacuum by acting with boundary observables localized in an arbitrarily small neighborhood of the chosen time t. Since the Gauss law represents the Hamiltonian as a boundary term, the model is holographic in the sense stated above.
13/14 PSI - Quantum Theory - Lecture 4

Joseph Emerson Institute for Quantum Computing (IQC)

September 12, 2013

PIRSA:13090033
13/14 PSI - Relativity - Lecture 4b

Neil Turok University of Edinburgh

September 12, 2013

PIRSA:13090075
13/14 PSI - Relativity - Lecture 4

Neil Turok University of Edinburgh

September 12, 2013

PIRSA:13090014
The Era of Three Generations: Possible hints from neutrinos in elucidating the matter/antimatter asymmetry of the Universe
September 11, 2013

PIRSA:13090065
High Energy Physics
Despite being one of the most abundant constituents of the Universe and more than a half a century of study, some of the most fundamental properties of the neutrino have only been recently uncovered, and others still remain unresolved. I will discuss important developments in the phenomenon of neutrino oscillations, a transmutation process that allows neutrinos to change between three types as they propagate in time. In particular, recent discoveries have opened up the possibility of CP violation in neutrino oscillations, asymmetries in the behavior of neutrinos and their anti-matter counterparts. CP violation, along with other unresolved properties of the neutrino, may play a central role in how the universe came to a matter-dominated state. I will also discuss a new generation of experiments that may allow us to establish whether CP violation does indeed occur in neutrino oscillations.
13/14 PSI - Quantum Theory - Lecture 3

Joseph Emerson Institute for Quantum Computing (IQC)

September 11, 2013

PIRSA:13090032
13/14 PSI - Relativity - Lecture 3

Neil Turok University of Edinburgh

September 11, 2013

PIRSA:13090013
Quantum Observables as Real-valued Functions and Quantum Probability
September 10, 2013

PIRSA:13090068
Quantum Physics
Quantum observables are commonly described by self-adjoint operators on a Hilbert space H. I will show that one can equivalently describe observables by real-valued functions on the set P(H) of projections, which we call q-observable functions. If one regards a quantum observable as a random variable, the corresponding q-observable function can be understood as a quantum quantile function, generalising the classical notion. I will briefly sketch how q-observable functions relate to the topos approach to quantum theory and the process called daseinisation. The topos approach provides a generalised state space for quantum systems that serves as a joint sample space for all quantum observables. This is joint work with Barry Dewitt.
From dlogs to dilogs

Arthur Lipstein Durham University
September 10, 2013

PIRSA:13090049
High Energy Physics
In this talk, I will describe a new form of hidden simplicity in the planar scattering amplitudes of N=4 super-Yang-Mills theory, notably that the loop integrands can be expressed in dlog form. I will explain how this form arises geometrically from computing the scattering amplitudes using a holomorphic Wilson loop in twistor space. I will also describe a systematic method for evaluating such integrals and use it to obtain a new formula for the 1-loop MHV amplitude. These techniques can be extended to higher loop amplitudes and may lead to a simple and efficient method for computing scattering amplitudes more generally.
13/14 PSI - Quantum Theory - Lecture 2

Joseph Emerson Institute for Quantum Computing (IQC)

September 10, 2013

PIRSA:13090031
13/14 PSI - Relativity - Lecture 2

Neil Turok University of Edinburgh

September 10, 2013

PIRSA:13090012

Title	Date	Collection	Type	Info
Quantum States are Consistent Probability Distributions	2013‑09‑12	Quantum Foundations	Scientific Series	View details
Holography without Strings - Joint Quantum Gravity and String Theory Seminar	2013‑09‑12	Quantum Gravity	Scientific Series	View details
13/14 PSI - Quantum Theory - Lecture 4	2013‑09‑12	13/14 PSI - Quantum Theory	Course	View details
13/14 PSI - Relativity - Lecture 4b	2013‑09‑12	13/14 PSI - Relativity	Course	View details
13/14 PSI - Relativity - Lecture 4	2013‑09‑12	13/14 PSI - Relativity	Course	View details
The Era of Three Generations: Possible hints from neutrinos in elucidating the matter/antimatter asymmetry of the Universe	2013‑09‑11	Colloquium	Scientific Series	View details
13/14 PSI - Quantum Theory - Lecture 3	2013‑09‑11	13/14 PSI - Quantum Theory	Course	View details
13/14 PSI - Relativity - Lecture 3	2013‑09‑11	13/14 PSI - Relativity	Course	View details
Quantum Observables as Real-valued Functions and Quantum Probability	2013‑09‑10	Quantum Foundations	Scientific Series	View details
From dlogs to dilogs	2013‑09‑10	Quantum Fields and Strings	Scientific Series	View details
13/14 PSI - Quantum Theory - Lecture 2	2013‑09‑10	13/14 PSI - Quantum Theory	Course	View details
13/14 PSI - Relativity - Lecture 2	2013‑09‑10	13/14 PSI - Relativity	Course	View details

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Format results

Quantum States are Consistent Probability Distributions

Holography without Strings - Joint Quantum Gravity and String Theory Seminar

13/14 PSI - Quantum Theory - Lecture 4

13/14 PSI - Relativity - Lecture 4b

13/14 PSI - Relativity - Lecture 4

The Era of Three Generations: Possible hints from neutrinos in elucidating the matter/antimatter asymmetry of the Universe

13/14 PSI - Quantum Theory - Lecture 3

13/14 PSI - Relativity - Lecture 3

Quantum Observables as Real-valued Functions and Quantum Probability

From dlogs to dilogs

13/14 PSI - Quantum Theory - Lecture 2

13/14 PSI - Relativity - Lecture 2

Quantum States are Consistent Probability Distributions

Holography without Strings - Joint Quantum Gravity and String Theory Seminar

13/14 PSI - Quantum Theory - Lecture 4

13/14 PSI - Relativity - Lecture 4b

13/14 PSI - Relativity - Lecture 4

The Era of Three Generations: Possible hints from neutrinos in elucidating the matter/antimatter asymmetry of the Universe

13/14 PSI - Quantum Theory - Lecture 3

13/14 PSI - Relativity - Lecture 3

Quantum Observables as Real-valued Functions and Quantum Probability

From dlogs to dilogs

13/14 PSI - Quantum Theory - Lecture 2

13/14 PSI - Relativity - Lecture 2