118 citations · 345 across the 21 of their papers we have counts for
9 papers · 1 filter
Connes Distance in Discrete-Time Quantum Walks
Rayan Trabelsi, A. F. Reyes-Lega, Pablo Arrighi
We study the geometric spread of discrete-time quantum walks using Connes' distance formula. We introduce its discrete analogue by adapting the continuous spectral metric to the la…
Entanglement Entropy in Quantum Mechanics: An Algebraic Approach
A. F. Reyes-Lega
An algebraic approach to the study of entanglement entropy of quantum systems is reviewed. Starting with a state on a -algebra, one can construct a density operator describing…
Uncertainties in Quantum Measurements: A Quantum Tomography
A. P. Balachandran, F. Calderón, V. P. Nair +3
The observables associated with a quantum system form a non-commutative algebra . It is assumed that a density matrix can be determined from the expectation…
Emergent Gauge Symmetries and Quantum Operations
A. P. Balachandran, I. M. Burbano, A. F. Reyes-Lega +1
The algebraic approach to quantum physics emphasizes the role played by the structure of the algebra of observables and its relation to the space of states. An important feature of…
Some Aspects of Operator Algebras in Quantum Physics
A. F. Reyes-Lega
Motivated by the sharp contrast between classical and quantum physics as probability theories, in these lecture notes I introduce the basic notions of operator algebras that are re…
Entanglement, Particle Identity and the GNS Construction: A Unifying Approach
A. P. Balachandran, T. R. Govindarajan, Amilcar R. de Queiroz +1
A novel approach to entanglement, based on the Gelfand-Naimark-Segal (GNS) construction, is introduced. It considers states as well as algebras of observables on an equal footing.…
Remarks on the Configuration Space Approach to Spin-Statistics
A. F. Reyes-Lega, C. Benavides
The angular momentum operators for a system of two spin-zero indistinguishable particles are constructed, using Isham's Canonical Group Quantization method. This mathematically rig…
On the realization of Symmetries in Quantum Mechanics
Kai Johannes Keller, Nikolaos A. Papadopoulos, Andrés F. Reyes-Lega
The aim of this paper is to give a simple, geometric proof of Wigner's theorem on the realization of symmetries in quantum mechanics that clarifies its relation to projective geome…
The spin-statistics relation in nonrelativistic quantum mechanics and projective modules
N. A. Papadopoulos, M. Paschke, A. F. Reyes-Lega +1
In this work we consider non-relativistic quantum mechanics, obtained from a classical configuration space Q of indistinguishable particles. Following an approach proposed by one o…