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Combinatorics and Boson normal ordering: A gentle introduction
Combinatorics and Boson normal ordering: A gentle introduction

Williams
Williams

... NIST, along with the BIPM and other NMIs (especially NRC, PTB and NMIJ), are at the center of the redefinition The “Quantum SI” – A proposal by Mohr, Taylor, and E. Williams (NIST) along with Terry Quinn (here) and Ian Mills – CODATA/ICSU (Committee on Data for Science and Technology) recommended va ...
Octonionic Dirac Equation
Octonionic Dirac Equation

... step further and using octonions as underlying numerical field. In this work, we overcome the problems due to the nonassociativity of the octonionic algebra by introducing leftright barred operators (which will be sometimes called barred octonions). Such operators complete the mathematical material ...
On Extracting Probability Distribution Information from Time Series
On Extracting Probability Distribution Information from Time Series

Landauer`s Principle in Multipartite Open Quantum System
Landauer`s Principle in Multipartite Open Quantum System

Quantum aspects of brain activity and the role of consciousness
Quantum aspects of brain activity and the role of consciousness

Lecture 16: Quantum error correction Classical repetition codes
Lecture 16: Quantum error correction Classical repetition codes

... (Really this is only a reduction in error when p < 1/2. If p = 1/2, then the channel is useless for transmitting information, and if p > 1/2 then Bob can simply flip every bit which effectively replaces p with 1 − p.) Another way of explaining what this code does (without making any reference to the ...
Three problems from quantum optics
Three problems from quantum optics

3. Generation of the Quantum Fault Table
3. Generation of the Quantum Fault Table

... quantum test theory presented here. Two new types of faults having no parallel in other types of circuit technology are presented, named and formalized in this work. We introduce and define the quantum fault table, and categorize its entries; a method is presented illustrating how to construct a cla ...
Quantum Probability Quantum Information Theory Quantum
Quantum Probability Quantum Information Theory Quantum

1. Introduction - Université de Rennes 1
1. Introduction - Université de Rennes 1

... Let us now make a remark. One can see on the formula (1.1) that the quantum Maxwellian reads as the global equilibrium canonical ensemble associated to the Hamiltonian −∆ + A(x), where the chemical potential A(x) is seen as an applied potential. Hence, our problem can be reformulated as the followin ...
A quantum-information-theoretic complement to a general
A quantum-information-theoretic complement to a general

Nobel Lecture: Fractional quantization
Nobel Lecture: Fractional quantization

... simple rules that may be verified experimentally, mediates the attractive interaction responsible for conventional superconductivity, and so forth, and none of these things depends in detail on the underlying equations of motion. They are generic properties of the crystalline state. The phonon cease ...
Investigating Entanglemen
Investigating Entanglemen

... ii) Now we will look at what will happen if the two filters are different. Suppose one of the photons passes through a Vertical filter. What is the chance that its twin will have the same result and also pass through the Plus or Minus filter? Hint: The twin must be a vertical photon and the second f ...
C191 - Lectures 8 and 9 - Measurement in
C191 - Lectures 8 and 9 - Measurement in

... √ we “throw away” a component of a quantum system, let’s consider a two qubit system in the state (|00i + |11i)/ 2. We now stop looking at the second qubit and assume we will never be able to look at it again. We might give it to someone else (Alice) who then takes it light-years away from us, for e ...
Quantum Physical Symbol Systems
Quantum Physical Symbol Systems

Wave Functions - Quantum Theory Group at CMU
Wave Functions - Quantum Theory Group at CMU

... as suggesting that a quantum particle is in two different places at the same time. Indeed, we shall show in Sec. 4.5, there is a well-defined sense in which a quantum particle cannot be in two (or more) places at the same time. Things which do not have precise positions, such as books and tables, ca ...
Distillability of Inseparable Quantum Systems
Distillability of Inseparable Quantum Systems

100, 027001 (2008)
100, 027001 (2008)

... below the scale of the Fermi temperature itself. It is also important that the experiment be done on a time scale short compared to the decoherence time. The relevant processes are (1) thermal excitation of a fermion zero mode to a higher-energy state and (2) quantum tunneling of the zero mode from ...
I am grateful to Mike Weismann for guiding much of this discussion
I am grateful to Mike Weismann for guiding much of this discussion

Toward a scalable, silicon-based quantum computing architecture
Toward a scalable, silicon-based quantum computing architecture

... the possible Unlike the classical case, however, where the total can be completely characterized by its parts, the state of larger quantum systems cannot always be described as the product of its parts. This property, known as entanglement, is best illustrated with and an example: there exist no sin ...
Quantum Search of Spatial Regions
Quantum Search of Spatial Regions

... o (min {n, r n})—that is, whether it is possible to do anything better than either brute-force quantum search (with the drawback pointed out by Benioff [6]), or classical search. Our results show that it is possible. From a physical point of view, several questions naturally arise: (1) whether our c ...
Boosting quantum evolutions using Trotter-Suzuki - FaMAF
Boosting quantum evolutions using Trotter-Suzuki - FaMAF

... can house up to 1448 × 1448 single precision systems, Fermi’s 768KB L2 cache isn’t nearly as spacious. As GPUs rely on massive parallelism to hide memory access latencies and fill their large amounts of execution units, small systems that do fit inside the GPU cache can’t spawn enough threads to per ...
Pedestrian notes on quantum mechanics
Pedestrian notes on quantum mechanics

Generalized Entropies
Generalized Entropies

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Quantum machine learning

Quantum machine learning is a newly emerging interdisciplinary research area between quantum physics and computer science that summarises efforts to combine quantum mechanics with methods of machine learning. Quantum machine learning models or algorithms intend to use the advantages of quantum information in order to improve classical methods of machine learning, for example by developing efficient implementations of expensive classical algorithms on a quantum computer. However, quantum machine learning also includes the vice versa approach, namely applying classical methods of machine learning to quantum information theory.Although yet in its infancy, quantum machine learning is met with high expectations of providing a solution for big data analysis using the ‘parallel’ power of quantum computation. This trend is underlined by recent investments of companies such as Google and Microsoft into quantum computing hardware and research. However, quantum machine learning is still in its infancy and requires more theoretical foundations as well as solid scientific results in order to mature to a full academic discipline.
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