The quantum mechanical formalism for position and momentum of a particle in a one dimensional cyclic lattice is constructively developed. Some mathematical features characteristic of the finite dimensional Hilbert space are compared with the infinite dimensional case. The construction of an unbiased basis for state determination is discussed
A complete set of mutually unbiased bases for a Hilbert space of dimension N is analogous in some re...
A set of statements about the properties of a quantum system is looked at as at a partially ordered ...
We develop a comprehensive theory of phase for finite-dimensional quantum systems. The only physical...
Contains fulltext : 170403.pdf (publisher's version ) (Open Access
International audienceThe quantum observables used in the case of quantum systems with finite-dimens...
We give a recipe for how to generate various harmonic oscillator states formally defined in finite-d...
In this course we will discuss the fundamentals of quantum mechanics, beginning with the physics of ...
A novel analysis of finite-dimensional Hilbert space is outlined. The approach bypasses the general,...
A complete set of d + 1 mutually unbiased bases exists in a Hilbert space of dimension d, whenever d...
This monograph provides an introduction to finite quantum systems, a field at the interface between ...
This paper establishes a foundamental result in Quantum Mechanics, namely that in finite dimension e...
Quantum systems with finite Hilbert space are considered. Position and mo- mentum states and their r...
We present a generalization of quantum error correction to infinite-dimensional Hilbert spaces. We f...
This work discusses quantum states defined in a finite-dimensional Hilbert space. In particular, aft...
Mathematical core of quantum mechanics is the theory of unitary representations of symmetries of phy...
A complete set of mutually unbiased bases for a Hilbert space of dimension N is analogous in some re...
A set of statements about the properties of a quantum system is looked at as at a partially ordered ...
We develop a comprehensive theory of phase for finite-dimensional quantum systems. The only physical...
Contains fulltext : 170403.pdf (publisher's version ) (Open Access
International audienceThe quantum observables used in the case of quantum systems with finite-dimens...
We give a recipe for how to generate various harmonic oscillator states formally defined in finite-d...
In this course we will discuss the fundamentals of quantum mechanics, beginning with the physics of ...
A novel analysis of finite-dimensional Hilbert space is outlined. The approach bypasses the general,...
A complete set of d + 1 mutually unbiased bases exists in a Hilbert space of dimension d, whenever d...
This monograph provides an introduction to finite quantum systems, a field at the interface between ...
This paper establishes a foundamental result in Quantum Mechanics, namely that in finite dimension e...
Quantum systems with finite Hilbert space are considered. Position and mo- mentum states and their r...
We present a generalization of quantum error correction to infinite-dimensional Hilbert spaces. We f...
This work discusses quantum states defined in a finite-dimensional Hilbert space. In particular, aft...
Mathematical core of quantum mechanics is the theory of unitary representations of symmetries of phy...
A complete set of mutually unbiased bases for a Hilbert space of dimension N is analogous in some re...
A set of statements about the properties of a quantum system is looked at as at a partially ordered ...
We develop a comprehensive theory of phase for finite-dimensional quantum systems. The only physical...