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Search results in Quantum Physics from PIRSA

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12/13 PSI - Quantum Information Review Lecture 5

Andrew Childs University of Waterloo
February 25, 2013

PIRSA:13020115
Quantum Physics
12/13 PSI - Quantum Information Review Lecture 4

Andrew Childs University of Waterloo
February 22, 2013

PIRSA:13020112
Quantum Physics
12/13 PSI - Quantum Information Review Lecture 3

Andrew Childs University of Waterloo
February 21, 2013

PIRSA:13020111
Quantum Physics
12/13 PSI - Quantum Information Review Lecture 2

Andrew Childs University of Waterloo
February 20, 2013

PIRSA:13020110
Quantum Physics
12/13 PSI - Quantum Information Review Lecture 1

Andrew Childs University of Waterloo
February 19, 2013

PIRSA:13020109
Quantum Physics
The structure of meaning in natural language: a big money quantum foundations spin-off.

Bob Coecke Quantinuum
February 12, 2013

PIRSA:13020131
Quantum Physics
A positive and local formalism for quantum theory

Robert Oeckl Universidad Nacional Autónoma De Mexico (UNAM)
February 05, 2013

PIRSA:13020125
Quantum Physics
Pinning of Fermionic Occupation Numbers

Christian Schilling ETH Zurich
January 21, 2013

PIRSA:13010105
Quantum Physics
Exotic topological order from quantum fractal code

Beni Yoshida Perimeter Institute for Theoretical Physics
January 14, 2013

PIRSA:13010101
Quantum Physics
Quantum Chaos, Information Gain and Quantum Tomography.

Vaibhav Madhok Wilfrid Laurier University
December 11, 2012

PIRSA:12120036
Quantum Physics
If no information gain implies no disturbance, then any discrete physical theory is classical

Corsin Pfister
December 04, 2012

PIRSA:12120016
Quantum Physics
Principle of relativity for quantum theory

Marco Zaopo University of Pavia
November 20, 2012

PIRSA:12110073
Quantum Physics

12/13 PSI - Quantum Information Review Lecture 5

Andrew Childs University of Waterloo
February 25, 2013

PIRSA:13020115
Quantum Physics
12/13 PSI - Quantum Information Review Lecture 4

Andrew Childs University of Waterloo
February 22, 2013

PIRSA:13020112
Quantum Physics
12/13 PSI - Quantum Information Review Lecture 3

Andrew Childs University of Waterloo
February 21, 2013

PIRSA:13020111
Quantum Physics
12/13 PSI - Quantum Information Review Lecture 2

Andrew Childs University of Waterloo
February 20, 2013

PIRSA:13020110
Quantum Physics
12/13 PSI - Quantum Information Review Lecture 1

Andrew Childs University of Waterloo
February 19, 2013

PIRSA:13020109
Quantum Physics
The structure of meaning in natural language: a big money quantum foundations spin-off.

Bob Coecke Quantinuum
February 12, 2013

PIRSA:13020131
Quantum Physics
A positive and local formalism for quantum theory

Robert Oeckl Universidad Nacional Autónoma De Mexico (UNAM)
February 05, 2013

PIRSA:13020125
Quantum Physics
The general boundary formulation (GBF) is an atemporal, but spacetime local formulation of quantum theory. Usually it is presented in terms of the amplitude formalism, which, in the presence of a background time, recovers the pure state formalism of the standard formulation of quantum theory. After reviewing the essentials of the amplitude formalism I will introduce a new "positive formalism", which recovers instead a mixed state formalism. This allows to define general quantum operations within the GBF and opens it to quantum information theory. Moreover, the transition to the positive formalism eliminates operationally irrelevant structure, making the extraction of measurement probabilities more direct. As a consequence, the probability interpretation takes on a remarkably simple and compelling form. I shall describe implications of the positive formalism, both for our understanding of quantum theory and for the practical formulation of quantum theories. I also observe a certain convergence with Lucien Hardy's operator tensor formulation of quantum theory, on which I hope to comment
Pinning of Fermionic Occupation Numbers

Christian Schilling ETH Zurich
January 21, 2013

PIRSA:13010105
Quantum Physics
The problem of determining and describing the family of 1-particle reduced density operators (1-RDO) arising from N-fermion pure states (viapartial trace) is known as the fermionic quantum marginal problem. We present its solution, a multitude of constraints on the eigenvalues of the 1-RDO, generalizing the Pauli exclusion principle. To explore the relevance of these constraints we study an analytically solvable model of N fermions in a harmonic potential and determine the spectral `trajectory' corresponding to the ground state as function of the fermion-fermion interaction strength.Intriguingly, we find that the occupation numbers are almost, but not exactly, pinned to the boundary of the allowed region (quasi-pinned). Our findings suggest a generalization of the Hartree-Fock approximation.

see also: http://arxiv.org/abs/1210.5531
Exotic topological order from quantum fractal code

Beni Yoshida Perimeter Institute for Theoretical Physics
January 14, 2013

PIRSA:13010101
Quantum Physics
We present a family of three-dimensional local quantum codes with pairs of fractal logical operators. It has two polynomials over finite fields as input parameters which generate fractal shapes of anti-commuting logical operators, and possesses exotic topological order with quantum glassiness which is beyond descriptions of conventional topological field theory. A necessary and sufficient condition for being free from string-like logical operators is obtained under which the model works as marginally self-correcting quantum memory. We also provide theoretical tools to analyze physical and coding properties of translation symmetric stabilizer Hamiltonians.
Quantum Chaos, Information Gain and Quantum Tomography.

Vaibhav Madhok Wilfrid Laurier University
December 11, 2012

PIRSA:12120036
Quantum Physics
Quantum chaos is the study of quantum systems whose classical description is chaotic. How does chaos manifest itself in the quantum world? In recent years, attempts have been made to address this question from the perspective of quantum information theory. It is in this spirit that we study the connection between quantum chaos and information gain in the time series of a measurement record used for quantum tomography. The record is obtained as a sequence of expectation values of a Hermitian operator evolving under repeated application of the Floquet operator of the quantum kicked top on a large ensemble of identical systems. We find an increase in information gain and hence higher fidelities in the process when the Floquet maps employed increase in chaoticity. We make predictions for the information gain using random matrix theory in the fully chaotic regime and show a remarkable agreement between the two.
If no information gain implies no disturbance, then any discrete physical theory is classical

Corsin Pfister
December 04, 2012

PIRSA:12120016
Quantum Physics
(based on http://arxiv.org/abs/1210.0194) It has been suggested that nature could be discrete in the sense that the underlying state space of a physical system has only a finite number of pure states. For example, the Bloch ball of a single qubit could be discretized into small patches and only appear round to us due to experimental limitations. Here, we present a strong physical argument for the quantum theoretical property that every state space (even the smallest possible one, the qubit) has infinitely many pure states. We propose a simple physical postulate which dictates that in fact the only possible discrete theory is classical mechanics. More specifically, we postulate that no information gain implies no disturbance, or read in the contrapositive, that disturbance leads to some form of information gain. In a theory like quantum mechanics where we already know that the converse holds, i.e. information gain does imply disturbance, this can be understood as postulating an equivalence between disturbance and information gain. What is more, we show that non-classical discrete theories are still ruled out even if we relax the postulate to hold only approximately in the sense that no information gain only causes a small amount of disturbance. Finally, our postulate also rules out popular generalizations such as the PR-box that allows non-local correlations beyond the limits of quantum theory.
Principle of relativity for quantum theory

Marco Zaopo University of Pavia
November 20, 2012

PIRSA:12110073
Quantum Physics
In a generic quantum experiment we have a given set of devices analyzing some physical property of a system. To each device involved in the experiment we associate a set of random outcomes corresponding to the possible values of the variable analyzed by the device. Devices have apertures that permit physical systems to pass through them. Each aperture is labelled as "input" or "output" depending on whether it is assumed that the aperture lets the system go inside or outside the device. Assuming a particular input/output structure for the devices involved in a generic experiment is equivalent to assume a particular causal structure for the space-time events constituted by the outcomes happening on devices. The joint probability distribution of these outcomes is usually predicted assuming an absolutely defined input/output structure of devices. This means that all observers of the experiment agree on whether an aperture is labelled as "input" or "output". In this talk we show that the mathematical formalism of quantum theory permits to predict the joint probability distribution of outcomes in a generic experiment in such a way that the input/output structure is indeed relative to an observer. This means that two observers of the same experiment can predict the joint probability distribution of outcomes assuming different input/output labels for the apertures. Since input/output structure is the causal structure of the space-time events constituting the outcomes involved in the experiment we conclude that in quantum theory, the causal structure of events may not be regarded as absolute but rather as relative to the observer. We finally point out that properly extending this concept to the cosmological domain could shed light on the problem of dark energy.

Title	Date	Collection	Type	Info
12/13 PSI - Quantum Information Review Lecture 5	2013‑02‑25	12/13 PSI - Quantum Information Review	Course	View details
12/13 PSI - Quantum Information Review Lecture 4	2013‑02‑22	12/13 PSI - Quantum Information Review	Course	View details
12/13 PSI - Quantum Information Review Lecture 3	2013‑02‑21	12/13 PSI - Quantum Information Review	Course	View details
12/13 PSI - Quantum Information Review Lecture 2	2013‑02‑20	12/13 PSI - Quantum Information Review	Course	View details
12/13 PSI - Quantum Information Review Lecture 1	2013‑02‑19	12/13 PSI - Quantum Information Review	Course	View details
The structure of meaning in natural language: a big money quantum foundations spin-off.	2013‑02‑12	Quantum Foundations	Scientific Series	View details
A positive and local formalism for quantum theory	2013‑02‑05	Quantum Foundations	Scientific Series	View details
Pinning of Fermionic Occupation Numbers	2013‑01‑21	Perimeter Institute Quantum Discussions	Scientific Series	View details
Exotic topological order from quantum fractal code	2013‑01‑14	Perimeter Institute Quantum Discussions	Scientific Series	View details
Quantum Chaos, Information Gain and Quantum Tomography.	2012‑12‑11	Quantum Foundations	Scientific Series	View details
If no information gain implies no disturbance, then any discrete physical theory is classical	2012‑12‑04	Quantum Foundations	Scientific Series	View details
Principle of relativity for quantum theory	2012‑11‑20	Quantum Foundations	Scientific Series	View details

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Format results

12/13 PSI - Quantum Information Review Lecture 5

12/13 PSI - Quantum Information Review Lecture 4

12/13 PSI - Quantum Information Review Lecture 3

12/13 PSI - Quantum Information Review Lecture 2

12/13 PSI - Quantum Information Review Lecture 1

The structure of meaning in natural language: a big money quantum foundations spin-off.

A positive and local formalism for quantum theory

Pinning of Fermionic Occupation Numbers

Exotic topological order from quantum fractal code

Quantum Chaos, Information Gain and Quantum Tomography.

If no information gain implies no disturbance, then any discrete physical theory is classical

Principle of relativity for quantum theory

12/13 PSI - Quantum Information Review Lecture 5

12/13 PSI - Quantum Information Review Lecture 4

12/13 PSI - Quantum Information Review Lecture 3

12/13 PSI - Quantum Information Review Lecture 2

12/13 PSI - Quantum Information Review Lecture 1

The structure of meaning in natural language: a big money quantum foundations spin-off.

A positive and local formalism for quantum theory

Pinning of Fermionic Occupation Numbers

Exotic topological order from quantum fractal code

Quantum Chaos, Information Gain and Quantum Tomography.

If no information gain implies no disturbance, then any discrete physical theory is classical

Principle of relativity for quantum theory