Parameterizing density operators with arbitrary symmetries to gain advantage in quantum state estimation

I Corte, M Losada, D Tielas, F Holik, L Rebón - Physica A: Statistical …, 2023 - Elsevier
In this work, we show how to parameterize a density matrix that has an arbitrary symmetry,
knowing the generators of the Lie algebra (if the symmetry group is a connected Lie group) …

Improved estimation accuracy of the 5-bases-based tomographic method

L Zambrano, L Pereira, A Delgado - Physical Review A, 2019 - APS
It has been recently shown that for quantum systems with dimension d≥ 4 unknown pure
states can be estimated via measurements on five bases only. Here, we study by means of …

Spin qudit tomography and state reconstruction error

MA Perlin, D Barberena, AM Rey - Physical Review A, 2021 - APS
We consider the task of performing quantum state tomography on ad-level spin qudit, using
only measurements of spin projection onto different quantization axes. After introducing a …

Minimal orthonormal bases for pure quantum state estimation

L Zambrano, L Pereira, A Delgado - Quantum, 2024 - quantum-journal.org
We present an analytical method to estimate pure quantum states using a minimum of three
measurement bases in any finite-dimensional Hilbert space. This is optimal as two bases …

Experimental characterization of quantum processes: A selective and efficient method in arbitrary finite dimensions

Q Pears Stefano, I Perito, JJM Varga, L Rebón… - Physical Review A, 2021 - APS
The temporal evolution of a quantum system can be characterized by quantum process
tomography, a complex task that consumes a number of physical resources scaling …

Performance of the quantum MaxEnt estimation in the presence of physical symmetries

D Tielas, M Losada, L Rebón, F Holik - Quantum Information Processing, 2022 - Springer
When an informationally complete measurement is not available, the reconstruction of the
density operator that describes the state of a quantum system can be obtained, in a reliable …

Ptychographic reconstruction of pure quantum states

MF Fernandes, MA Solís-Prosser, L Neves - Optics Letters, 2020 - opg.optica.org
The quantum analogue of ptychography, a powerful coherent diffractive imaging technique,
is a simple method for reconstructing d-dimensional pure states. It relies on measuring …

Determination of spatial quantum states by using point diffraction interferometry

QP Stefano, L Rebón, C Iemmi - Journal of Optics, 2020 - iopscience.iop.org
We present a method to reconstruct pure spatial qudits of arbitrary dimension d, which is
based on a point diffraction interferometer. In the proposed scheme, the quantum states are …

Sistemática Filogenética de Paratelmatobiinae Ohler & Dubois (2012)(Anura: Leptodactylidae)

IR Fernandes - 2022 - repositorio.ufmg.br
Paratelmatobiinae is a Leptodactylidae subfamily composed by tiny endemic frogs from
Brazil that inhabit the Cerrado and Atlantic Forest biomes. Currently is composed by 14 …

Quantum simulation and metrology with multilevel fermions in an optical lattice

MA Perlin - 2021 - search.proquest.com
Ultracold atomic systems are exquisite platforms for studying many-body physics and
developing quantum technologies. Alkaline-earth (-like) atoms (AEA) in particular offer …