Interfacing Continuous and Discrete Hilbert Spaces in Quantum Optics and Quantum Information

2015 ◽  
Author(s):  
Niranjan Sridhar
Keyword(s):  
Quantum Information ◽  
Quantum Optics ◽  
Hilbert Spaces

Quantum optics with nitrogen-vacancy centres in diamond

2017 ◽  
Author(s):  
Yiwen Chu ◽  
Mikhail D. Lukin
Keyword(s):  
Optical Properties ◽  
Quantum Information ◽  
Solid State ◽  
Quantum Optics ◽  
Quantum States ◽  
Nitrogen Vacancy ◽  
Common Theme ◽  
External Effects ◽  
Promising Candidate ◽  
Optical Photons

A common theme in the implementation of quantum technologies involves addressing the seemingly contradictory needs for controllability and isolation from external effects. Undesirable effects of the environment must be minimized, while at the same time techniques and tools must be developed that enable interaction with the system in a controllable and well-defined manner. This chapter addresses several aspects of this theme with regard to a particularly promising candidate for developing applications in both metrology and quantum information, namely the nitrogen-vacancy (NV) centre in diamond. The chapter describes how the quantum states of NV centres can be manipulated, probed, and efficiently coupled with optical photons. It also discusses ways of tackling the challenges of controlling the optical properties of these emitters inside a complex solid state environment.

scholarly journals Quantum optics and cavity QED with quantum dots in photonic crystals

2017 ◽  
Author(s):  
Jelena Vučković
Keyword(s):  
Quantum Dots ◽  
Information Processing ◽  
Quantum Information ◽  
Quantum Optics ◽  
Quantum Electrodynamics ◽  
Cavity Qed ◽  
Cavity Quantum Electrodynamics ◽  
Test Bed ◽  
Matter Interaction ◽  
Light Matter Interaction

Quantum dots in optical nanocavities are interesting as a test-bed for fundamental studies of light–matter interaction (cavity quantum electrodynamics, QED), as well as an integrated platform for information processing. As a result of the strong field localization inside sub-cubic-wavelength volumes, these dots enable very large emitter–field interaction strengths. In addition to their use in the study of new regimes of cavity QED, they can also be employed to build devices for quantum information processing, such as ultrafast quantum gates, non-classical light sources, and spin–photon interfaces. Beside quantum information systems, many classical information processing devices, such as lasers and modulators, benefit greatly from the enhanced light–matter interaction in such structures. This chapter gives an introduction to quantum dots, photonic crystal resonators, cavity QED, and quantum optics on this platform, as well as possible device applications.

scholarly journals Measuring Nonclassicality of Mesoscopic Twin-Beam States with Silicon Photomultipliers †

Proceedings ◽  
2019 ◽  
Vol 12 (1) ◽  
pp. 48
Author(s):  
Giovanni Chesi ◽  
Luca Malinverno ◽  
Alessia Allevi ◽  
Romualdo Santoro ◽  
Massimo Caccia ◽  
...  
Keyword(s):  
Quantum Information ◽  
Quantum Optics ◽  
Output Signal ◽  
Photon Number ◽  
Quantum States ◽  
Silicon Photomultipliers ◽  
Nonclassical Properties ◽  
Relevant Topic ◽  
Twin Beam ◽  
Proper Analysis

The study of nonclassical properties of quantum states is a relevant topic for fundamental Quantum Optics and Quantum Information applications. In the mesoscopic domain, promising results have been obtained using photon-number-resolving detectors. Here we show recent results achieved with the class of Silicon Photomultipliers: by a proper analysis of the output signal, the nonclassicality of twin-beam states can be detected and exploited.

Quantum optics and quantum information processing with photonic crystal devices

2006 ◽  
Author(s):  
Jelena Vuckovic ◽  
Hatice Altug ◽  
Dirk Englund ◽  
Andrei Faraon ◽  
Ilya Fushman ◽  
...  
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Photonic Crystal ◽  
Quantum Optics ◽  
Quantum Information Processing

scholarly journals BASICS OF QUANTUM MECHANICS, GEOMETRIZATION AND SOME APPLICATIONS TO QUANTUM INFORMATION

2008 ◽  
Vol 05 (06) ◽  
pp. 989-1032 ◽  
Author(s):  
JESÚS CLEMENTE-GALLARDO ◽  
GIUSEPPE MARMO
Keyword(s):  
Quantum Mechanics ◽  
Quantum Information ◽  
Hilbert Spaces ◽  
Functional Independence ◽  
Practical Application ◽  
Finite Dimensional ◽  
Entanglement Witnesses ◽  
Geometric Formulation

In this paper we present a survey of the use of differential geometric formalisms to describe Quantum Mechanics. We analyze Schrödinger framework from this perspective and provide a description of the Weyl–Wigner construction. Finally, after reviewing the basics of the geometric formulation of quantum mechanics, we apply the methods presented to the most interesting cases of finite dimensional Hilbert spaces: those of two, three and four level systems (one qubit, one qutrit and two qubit systems). As a more practical application, we discuss the advantages that the geometric formulation of quantum mechanics can provide us with in the study of situations as the functional independence of entanglement witnesses.

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