Quantum-classical computation of Schwinger model dynamics using quantum computers

N Klco, EF Dumitrescu, AJ McCaskey, TD Morris… - Physical Review A, 2018 - APS
We present a quantum-classical algorithm to study the dynamics of the two-spatial-site
Schwinger model on IBM's quantum computers. Using rotational symmetries, total charge …

Overview of the phase space formulation of quantum mechanics with application to quantum technologies

RP Rundle, MJ Everitt - Advanced Quantum Technologies, 2021 - Wiley Online Library
The phase‐space formulation of quantum mechanics has recently seen increased use in
testing quantum technologies, including methods of tomography for state verification and …

Quantum measurement cooling

L Buffoni, A Solfanelli, P Verrucchi, A Cuccoli… - Physical review …, 2019 - APS
Invasiveness of quantum measurements is a genuinely quantum mechanical feature that is
not necessarily detrimental: Here we show how quantum measurements can be used to fuel …

Spin–orbit microlaser emitting in a four-dimensional Hilbert space

Z Zhang, H Zhao, S Wu, T Wu, X Qiao, Z Gao… - Nature, 2022 - nature.com
A step towards the next generation of high-capacity, noise-resilient communication and
computing technologies is a substantial increase in the dimensionality of information space …

Entangled Bloch spheres: Bloch matrix and two-qubit state space

O Gamel - Physical Review A, 2016 - APS
We represent a two-qubit density matrix in the basis of Pauli matrix tensor products, with the
coefficients constituting a Bloch matrix, analogous to the single qubit Bloch vector. We find …

Generalized Euler angle parametrization for SU (N)

T Tilma, ECG Sudarshan - Journal of Physics A: Mathematical …, 2002 - iopscience.iop.org
In a previous paper [1] an Euler angle parametrization for SU (4) was given. Here we
present the derivation of a generalized Euler angle parametrization for SU (N). The formula …

Hilbert–Schmidt volume of the set of mixed quantum states

K Zyczkowski, HJ Sommers - Journal of Physics A: Mathematical …, 2003 - iopscience.iop.org
We compute the volume of the convex (N 2− 1)-dimensional set Script MN of density
matrices of size N with respect to the Hilbert–Schmidt measure. The hyper-area of the …

Geometry of the generalized Bloch sphere for qutrits

SK Goyal, BN Simon, R Singh… - Journal of Physics A …, 2016 - iopscience.iop.org
The geometry of the generalized Bloch sphere Ω 3, the state space of a qutrit, is studied.
Closed form expressions for Ω 3, its boundary∂ Ω 3, and the set of extremals ${{\rm …

Invariant indices of polarimetric purity: generalized indices of purity for n× n covariance matrices

I San José, JJ Gil - Optics communications, 2011 - Elsevier
A proper set of indices characterizing the polarimetric purity of light and material media is
defined from the eigenvalues of the corresponding coherency matrix. A simple and …

[HTML][HTML] Identifying the group-theoretic structure of machine-learned symmetries

RT Forestano, KT Matchev, K Matcheva, A Roman… - Physics Letters B, 2023 - Elsevier
Deep learning was recently successfully used in deriving symmetry transformations that
preserve important physics quantities. Being completely agnostic, these techniques …