Quantum-classical computation of Schwinger model dynamics using quantum computers
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 …
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
The phase‐space formulation of quantum mechanics has recently seen increased use in
testing quantum technologies, including methods of tomography for state verification and …
testing quantum technologies, including methods of tomography for state verification and …
Quantum measurement cooling
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 …
not necessarily detrimental: Here we show how quantum measurements can be used to fuel …
Spin–orbit microlaser emitting in a four-dimensional Hilbert space
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 …
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 …
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 …
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 …
matrices of size N with respect to the Hilbert–Schmidt measure. The hyper-area of the …
Geometry of the generalized Bloch sphere for qutrits
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 …
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
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 …
defined from the eigenvalues of the corresponding coherency matrix. A simple and …
[HTML][HTML] Identifying the group-theoretic structure of machine-learned symmetries
Deep learning was recently successfully used in deriving symmetry transformations that
preserve important physics quantities. Being completely agnostic, these techniques …
preserve important physics quantities. Being completely agnostic, these techniques …