Qubit geodesics on the Bloch sphere from optimal-speed Hamiltonian evolutions

C Cafaro, PM Alsing - Classical and Quantum Gravity, 2023 - iopscience.iop.org
In the geometry of quantum evolutions, a geodesic path is viewed as a path of minimal
statistical length connecting two pure quantum states along which the maximal number of …

The shape of higher-dimensional state space: Bloch-ball analog for a qutrit

C Eltschka, M Huber, S Morelli, J Siewert - Quantum, 2021 - quantum-journal.org
Geometric intuition is a crucial tool to obtain deeper insight into many concepts of physics. A
paradigmatic example of its power is the Bloch ball, the geometrical representation for the …

Symmetries and geometries of qubits, and their uses

ARP Rau - Symmetry, 2021 - mdpi.com
The symmetry SU (2) and its geometric Bloch Sphere rendering have been successfully
applied to the study of a single qubit (spin-1/2); however, the extension of such symmetries …

Decoherence and quantum steering of accelerated qubit–qutrit system

MY Abd-Rabbou, N Metwally, MMA Ahmed… - Quantum Information …, 2022 - Springer
The bidirectional steerability between different-size subsystems is discussed for a single
parameter accelerated qubit–qutrit system. The decoherence due to the mixing and …

Tight entropic uncertainty relations for systems with dimension three to five

A Riccardi, C Macchiavello, L Maccone - Physical Review A, 2017 - APS
We consider two (natural) families of observables O k for systems with dimension d= 3, 4, 5:
the spin observables S x, S y, and S z, and the observables that have mutually unbiased …

Advantages of quantum communication revealed by the reexamination of hyperbit theory limitations

G Scala, SA Ghoreishi, M Pawłowski - Physical Review A, 2024 - APS
Pawłowski and Winter's hyperbit theory, proposed in 2012, presented itself as an alternative
to quantum theory, suggesting novel ways of redefining entanglement and classical …

[HTML][HTML] Classification of joint numerical ranges of three hermitian matrices of size three

K Szymański, S Weis, K Życzkowski - Linear algebra and its applications, 2018 - Elsevier
The joint numerical range W (F) of three hermitian 3-by-3 matrices F=(F 1, F 2, F 3) is a
convex and compact subset in R 3. Generically we find that W (F) is a three-dimensional …

Observing geometry of quantum states in a three-level system

J Xie, A Zhang, N Cao, H Xu, K Zheng, YT Poon… - Physical Review Letters, 2020 - APS
In quantum mechanics, geometry has been demonstrated as a useful tool for inferring
nonclassical behaviors and exotic properties of quantum systems. One standard approach …

[HTML][HTML] Descriptors of dimensionality for n× n density matrices

JJ Gil, A Norrman, AT Friberg, T Setälä - The European Physical Journal …, 2023 - Springer
By using the recently introduced parametrization of an n-dimensional density matrix in terms
of the indices of population asymmetry and the intrinsic coherences, we define descriptors in …

Analysis of continuous and discrete Wigner approximations for spin dynamics

B Sundar, KC Wang, KRA Hazzard - Physical Review A, 2019 - APS
We compare the continuous and discrete truncated Wigner approximations of various spin
models' dynamics to exact analytical and numerical solutions. We account for all …