Aspects of quantum information theory
... this end the text is divided into two parts. The first (Part I. “Fundamentals”) is of introductory nature. It takes into account that most of the fundamental concepts and basic ideas of quantum information are developed during the last decade, and are therefore unfamiliar to most physicists. To make ...
... this end the text is divided into two parts. The first (Part I. “Fundamentals”) is of introductory nature. It takes into account that most of the fundamental concepts and basic ideas of quantum information are developed during the last decade, and are therefore unfamiliar to most physicists. To make ...
Phase shifts of atomic de Broglie waves at an
... potential [8]. Furthermore, the evanescent wave mirror is dispersive because of the dependence of ζWKB on p∞ . More precisely, the condition for the mirror to be dispersive is that ∂ 2 ∆ϕW KB /∂p2∞ 6= 0: a linear dependence of ∆ϕWKB on p∞ can always be removed by an appropriate choice of absolute ph ...
... potential [8]. Furthermore, the evanescent wave mirror is dispersive because of the dependence of ζWKB on p∞ . More precisely, the condition for the mirror to be dispersive is that ∂ 2 ∆ϕW KB /∂p2∞ 6= 0: a linear dependence of ∆ϕWKB on p∞ can always be removed by an appropriate choice of absolute ph ...
From Quantum Gates to Quantum Learning
... states, and are characterized by a wave function . As an example (), it is possible to have light polarizations other than purely horizontal or vertical, such as slant 45 corresponding to the linear superposition of . In ternary logic, the notation for the superposition is , where , , and are c ...
... states, and are characterized by a wave function . As an example (), it is possible to have light polarizations other than purely horizontal or vertical, such as slant 45 corresponding to the linear superposition of . In ternary logic, the notation for the superposition is , where , , and are c ...
Introduction to loop quantum gravity
... and Pullin (1997) [2]. They do not include many technical details, however Thiemann (2007) [3] presents thorough derivations. A new book that is accessible to undergraduates is Gambini and Pullin (2011) [4]. A reader of popular science books may find Smolin’s Three roads to quantum gravity [5] inter ...
... and Pullin (1997) [2]. They do not include many technical details, however Thiemann (2007) [3] presents thorough derivations. A new book that is accessible to undergraduates is Gambini and Pullin (2011) [4]. A reader of popular science books may find Smolin’s Three roads to quantum gravity [5] inter ...
Vector Math.indd
... units, but they have no direction. Scalars just “are.” The following are scalars, physical quantities that are important in engineering and design: Time. 3:00 PM, 6 minutes (m), 11 hours (h), 1 decade, etc., are examples of time. The magnitude or size of time is a real number. There are units (minut ...
... units, but they have no direction. Scalars just “are.” The following are scalars, physical quantities that are important in engineering and design: Time. 3:00 PM, 6 minutes (m), 11 hours (h), 1 decade, etc., are examples of time. The magnitude or size of time is a real number. There are units (minut ...
One-Class Support Measure Machines for Group Anomaly Detection
... of features for each group and apply standard point anomaly detection (Chan and Mahoney 2005). Despite its simplicity, this approach requires a specific domain knowledge to construct appropriate sets of features. Another possibility is to first identify the individually anomalous points and then fin ...
... of features for each group and apply standard point anomaly detection (Chan and Mahoney 2005). Despite its simplicity, this approach requires a specific domain knowledge to construct appropriate sets of features. Another possibility is to first identify the individually anomalous points and then fin ...
Some Problems in Quantum Information Theory
... Kraus: “Two observables A and B of an n-level system (i.e., a quantum system with n-dimensional state space) are called complementary, if knowledge of the measured value of A implies maximal uncertainty of the measured value of B, and vice versa.” Also called “maximally incompatible”. ...
... Kraus: “Two observables A and B of an n-level system (i.e., a quantum system with n-dimensional state space) are called complementary, if knowledge of the measured value of A implies maximal uncertainty of the measured value of B, and vice versa.” Also called “maximally incompatible”. ...
The Quantum Hall Effect: Novel Excitations and Broken Symmetries
... In the so-called integer quantum Hall effect (IQHE) discovered by von Klitzing in 1980, the quantum number ν is a simple integer with a precision of about 10−10 and an absolute accuracy of about 10−8 (both being limited by our ability to do resistance metrology). In 1982, Tsui, Störmer and Gossard ...
... In the so-called integer quantum Hall effect (IQHE) discovered by von Klitzing in 1980, the quantum number ν is a simple integer with a precision of about 10−10 and an absolute accuracy of about 10−8 (both being limited by our ability to do resistance metrology). In 1982, Tsui, Störmer and Gossard ...
Document
... We consider entanglement as a dynamic property of quantum states and examine its behavior in time and space. Some interesting findings: (1) adding more noise helps fight phase-noise disentanglement, and (2) high entanglement induces spatial localization, equivalent to a quantum memory force. • Ting ...
... We consider entanglement as a dynamic property of quantum states and examine its behavior in time and space. Some interesting findings: (1) adding more noise helps fight phase-noise disentanglement, and (2) high entanglement induces spatial localization, equivalent to a quantum memory force. • Ting ...
Document
... In this talk, the basic toolbox of the Innsbruck quantum information processor based on a string of trapped Ca+ ions will be reviewed. For quantum information science, the toolbox operations are used to encode one logical qubit in entangled states distributed over seven trapped-ion qubits. We demons ...
... In this talk, the basic toolbox of the Innsbruck quantum information processor based on a string of trapped Ca+ ions will be reviewed. For quantum information science, the toolbox operations are used to encode one logical qubit in entangled states distributed over seven trapped-ion qubits. We demons ...
An Atomic Source of Quantum Light - Institute for Quantum Science
... loss. In the presence of loss the amount of squeezing obtained is not monotonically decreasing with increasing gain. (b) Loss in the signal (idler) channel is modelled as a beam splitter of transmissivity ηs(i) and a vacuum state incident on the reflecting port . . . . . . . . . . . . . . . . . . Th ...
... loss. In the presence of loss the amount of squeezing obtained is not monotonically decreasing with increasing gain. (b) Loss in the signal (idler) channel is modelled as a beam splitter of transmissivity ηs(i) and a vacuum state incident on the reflecting port . . . . . . . . . . . . . . . . . . Th ...
Interpreting Spontaneous Collapse Theories - Philsci
... ordinary physical objects are not configurations of discrete particles, as classical mechanics would have it, but instead are distributions of wave amplitude. However, our observations of individual physical systems seem to be inconsistent with the hypothesis that the fundamental stuff of the world ...
... ordinary physical objects are not configurations of discrete particles, as classical mechanics would have it, but instead are distributions of wave amplitude. However, our observations of individual physical systems seem to be inconsistent with the hypothesis that the fundamental stuff of the world ...
Sborlini - High Energy Physics
... final physical result (if we are computing IR safe observables…). For instance, the cancellation can be implemented through the subtraction method. (See: Muta, Foundations of Quantum Chromodynamics) ...
... final physical result (if we are computing IR safe observables…). For instance, the cancellation can be implemented through the subtraction method. (See: Muta, Foundations of Quantum Chromodynamics) ...
Overview Andrew Jaramillo Research Statement
... I plan to continue investigating the structure of quantum groups, further generalizing my results. For instance, all of the above results were shown for q not a root of unity. My expectation is that similar results will hold, with the appropriate modifications, for q a root of unity. Moreover, all o ...
... I plan to continue investigating the structure of quantum groups, further generalizing my results. For instance, all of the above results were shown for q not a root of unity. My expectation is that similar results will hold, with the appropriate modifications, for q a root of unity. Moreover, all o ...
Probability amplitude
In quantum mechanics, a probability amplitude is a complex number used in describing the behaviour of systems. The modulus squared of this quantity represents a probability or probability density.Probability amplitudes provide a relationship between the wave function (or, more generally, of a quantum state vector) of a system and the results of observations of that system, a link first proposed by Max Born. Interpretation of values of a wave function as the probability amplitude is a pillar of the Copenhagen interpretation of quantum mechanics. In fact, the properties of the space of wave functions were being used to make physical predictions (such as emissions from atoms being at certain discrete energies) before any physical interpretation of a particular function was offered. Born was awarded half of the 1954 Nobel Prize in Physics for this understanding (see #References), and the probability thus calculated is sometimes called the ""Born probability"". These probabilistic concepts, namely the probability density and quantum measurements, were vigorously contested at the time by the original physicists working on the theory, such as Schrödinger and Einstein. It is the source of the mysterious consequences and philosophical difficulties in the interpretations of quantum mechanics—topics that continue to be debated even today.