FHE over the Integers: Decomposed and Batched in the Post-Quantum Regime

2017 ◽  
pp. 271-301 ◽  
Author(s):  
Daniel Benarroch ◽  
Zvika Brakerski ◽  
Tancrède Lepoint
Keyword(s):  
Quantum Regime

scholarly journals Spin-Mechanics with Nitrogen-Vacancy Centers and Trapped Particles

Micromachines ◽  
2021 ◽  
Vol 12 (6) ◽  
pp. 651
Author(s):  
Maxime Perdriat ◽  
Clément Pellet-Mary ◽  
Paul Huillery ◽  
Loïc Rondin ◽  
Gabriel Hétet
Keyword(s):  
Degrees Of Freedom ◽  
Theoretical Background ◽  
Nitrogen Vacancy ◽  
Full Potential ◽  
Strongly Coupled ◽  
Trapped Particles ◽  
Quantum Regime ◽  
Atomic Spins ◽  
Nitrogen Vacancy Centers ◽  
Mechanical Oscillators

Controlling the motion of macroscopic oscillators in the quantum regime has been the subject of intense research in recent decades. In this direction, opto-mechanical systems, where the motion of micro-objects is strongly coupled with laser light radiation pressure, have had tremendous success. In particular, the motion of levitating objects can be manipulated at the quantum level thanks to their very high isolation from the environment under ultra-low vacuum conditions. To enter the quantum regime, schemes using single long-lived atomic spins, such as the electronic spin of nitrogen-vacancy (NV) centers in diamond, coupled with levitating mechanical oscillators have been proposed. At the single spin level, they offer the formidable prospect of transferring the spins’ inherent quantum nature to the oscillators, with foreseeable far-reaching implications in quantum sensing and tests of quantum mechanics. Adding the spin degrees of freedom to the experimentalists’ toolbox would enable access to a very rich playground at the crossroads between condensed matter and atomic physics. We review recent experimental work in the field of spin-mechanics that employ the interaction between trapped particles and electronic spins in the solid state and discuss the challenges ahead. Our focus is on the theoretical background close to the current experiments, as well as on the experimental limits, that, once overcome, will enable these systems to unleash their full potential.

scholarly journals Transition radiation in the quantum regime as a diffractive phenomenon

2006 ◽  
Vol 355 (4-5) ◽  
pp. 289-292 ◽  
Author(s):  
D. Schildknecht ◽  
B.G. Zakharov
Keyword(s):  
Transition Radiation ◽  
Quantum Regime

scholarly journals Transport theory in metallic films: Crossover from the classical to the quantum regime

1995 ◽  
Vol 51 (11) ◽  
pp. 7325-7328 ◽  
Author(s):  
L. Sheng ◽  
D. Y. Xing ◽  
Z. D. Wang
Keyword(s):  
Transport Theory ◽  
Metallic Films ◽  
Quantum Regime

Measurement of the Intrinsic Dissipation of a Macroscopic System in the Quantum Regime

1999 ◽  
Vol 82 (26) ◽  
pp. 5357-5360 ◽  
Author(s):  
C. Cosmelli ◽  
P. Carelli ◽  
M. G. Castellano ◽  
F. Chiarello ◽  
G. Diambrini Palazzi ◽  
...  
Keyword(s):  
Macroscopic System ◽  
Quantum Regime ◽  
Intrinsic Dissipation

scholarly journals The Homological Kähler-de Rham Differential Mechanism: II. Sheaf-Theoretic Localization of Quantum Dynamics

2011 ◽  
Vol 2011 ◽  
pp. 1-13 ◽  
Author(s):  
Anastasios Mallios ◽  
Elias Zafiris
Keyword(s):  
Quantum Dynamics ◽  
Dynamical Behavior ◽  
Quantum Regime ◽  
Commutative Algebras ◽  
Differential Mechanism ◽  
De Rham ◽  
Physical Fields

The homological Kähler-de Rham differential mechanism models the dynamical behavior of physical fields by purely algebraic means and independently of any background manifold substratum. This is of particular importance for the formulation of dynamics in the quantum regime, where the adherence to such a fixed substratum is problematic. In this context, we show that the functorial formulation of the Kähler-de Rham differential mechanism in categories of sheaves of commutative algebras, instantiating generalized localization environments of physical observables, induces a consistent functorial framework of dynamics in the quantum regime.

The crossover from classical to quantum regime in the problem of the decay of the metastable state

1985 ◽  
Vol 41 (3-4) ◽  
pp. 425-443 ◽  
Author(s):  
A. I. Larkin1 ◽  
Yu. N. Ovchinnikov
Keyword(s):  
Metastable State ◽  
Quantum Regime

The extreme quantum regime of 2D electron and hole systems

1994 ◽  
Vol 201 ◽  
pp. 301-314 ◽  
Author(s):  
R.G. Clark ◽  
A.G. Davies ◽  
S.A. Brown ◽  
R.B. Dunford ◽  
P.E. Simmonds ◽  
...  
Keyword(s):  
Quantum Regime

Polar molecules in the quantum regime

Physics Today ◽  
2011 ◽  
Vol 64 (5) ◽  
pp. 27-31 ◽  
Author(s):  
Deborah S. Jin ◽  
Jun Ye
Keyword(s):  
Polar Molecules ◽  
Quantum Regime

scholarly journals Controlled excitations of surface plasmons via optical soliton photons in the quantum regime

2014 ◽  
Vol T160 ◽  
pp. 014020
Author(s):  
Evren Karakaya ◽  
Kaan Güven ◽  
Özgür E Müstecaplıoğlu
Keyword(s):  
Surface Plasmons ◽  
Optical Soliton ◽  
Quantum Regime
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