118 citations · 345 across the 21 of their papers we have counts for
23 papers
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…
Renormalization on the DFR Quantum Spacetime
J. F. López, A. F. Reyes-Lega
An approach to renormalization of scalar fields on the Doplicher-Fredenhagen-Roberts (DFR) quantum spacetime is presented. The effective non-local theory obtained through the use o…
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…
A -Topological Index as a -State Index
N. J. B. Aza, L. C. P. A. M. Müssnich, A. F. Reyes-Lega
Within the setting of infinite dimensional self-dual -algebras describing fermions in the -lattice, we depart from the well-known Araki-Evans…
Superselection, Boundary Algebras and Duality in Gauge Theories
A. P. Balachandran, V. P. Nair, A. Pinzul +2
We consider the generators of gauge transformations with test functions which do not vanish on the boundary of a spacelike region of interest. These are known to generate the edge…
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…
A -Topological Index for Quasi-Free Fermions
N. J. B. Aza, A. F. Reyes-Lega, L. A. Sequera M
We use infinite dimensional self-dual -algebras to study a -index, which classifies free-fermion systems embedded on disorder…
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…
The Gauss Law: A Tale
A. P. Balachandran, A. F. Reyes-Lega
The Gauss law plays a basic role in gauge theories, enforcing gauge invariance and creating edge states and superselection sectors. This article surveys these aspects of the Gauss…
Majorana Fermions and Orthogonal Complex Structures
J. S. Calderón-García, A. F. Reyes-Lega
Ground states of quadratic Hamiltonians for fermionic systems can be characterized in terms of orthogonal complex structures. The standard way in which such Hamiltonians are diagon…
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…
Counting an infinite number of points: a testing ground for renormalization methods
Li Guo, Sylvie Paycha, Bin Zhang
This is a leisurely introductory account addressed to non-experts and based on previous work by the authors, on how methods borrowed from physics can be used to "count" an infinite…
Coupling the Sorkin-Johnston State to Gravity
Nicolás Avilán, Andrés F. Reyes-Lega, Bruno Carneiro da Cunha
We consider the dynamics of the Sorkin-Johnston (SJ) state for a massless scalar field in two dimensions. We conduct a study of the renormalized stress-tensor by a subtraction proc…
Real relativistic fluids in heavy ion collisions
Esteban Calzetta
The theory of real relativistic fluids is in the rather unique situation that there is a natural relativistic extension of the nonrelativistic theory, but it is physically untenabl…
Entanglement and Particle Identity: A Unifying Approach
A. P. Balachandran, T. R. Govindarajan, Amilcar R. de Queiroz +1
It has been known for some years that entanglement entropy obtained from partial trace does not provide the correct entanglement measure when applied to systems of identical partic…
Algebraic Approach to Entanglement and Entropy
A. P. Balachandran, T. R. Govindarajan, Amilcar R. de Queiroz +1
We present a general approach to quantum entanglement and entropy that is based on algebras of observables and states thereon. In contrast to more standard treatments, Hilbert spac…
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.…
On the geometry of quantum indistinguishability
A. F. Reyes-Lega
An algebraic approach to the study of quantum mechanics on configuration spaces with a finite fundamental group is presented. It uses, in an essential way, the Gelfand-Naimark and…
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 Geometry of the Berry-Robbins Approach to Spin-Statistics
A. F. Reyes-Lega, N. A. Papadopoulos
Within a geometric and algebraic framework, the structures which are related to the spin-statistics connection are discussed. A comparison with the Berry-Robbins approach is made.…
Canonical Group Quantization, Rotation Generators and Quantum Indistinguishability
C. Benavides, A. F. Reyes-Lega
Using the method of canonical group quantization, we construct the angular momentum operators associated to configuration spaces with the topology of (i) a sphere and (ii) a projec…
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…