Generating random density matrices
We study various methods to generate ensembles of random density matrices of a fixed size
N, obtained by partial trace of pure states on composite systems. Structured ensembles of�…
N, obtained by partial trace of pure states on composite systems. Structured ensembles of�…
Symmetries of quantum evolutions
A cornerstone of quantum mechanics is the characterization of symmetries provided by
Wigner's theorem. Wigner's theorem establishes that every symmetry of the quantum state�…
Wigner's theorem. Wigner's theorem establishes that every symmetry of the quantum state�…
Storage capacity and learning capability of quantum neural networks
M Lewenstein, A Gratsea…�- Quantum Science�…, 2021 - iopscience.iop.org
We study the storage capacity of quantum neural networks (QNNs), described by completely
positive trace preserving (CPTP) maps acting on an N-dimensional Hilbert space. We�…
positive trace preserving (CPTP) maps acting on an N-dimensional Hilbert space. We�…
Jarzynski-like equality of nonequilibrium information production based on quantum cross-entropy
The two-time measurement scheme is well studied in the context of quantum fluctuation
theorem. However, it becomes infeasible when the random variable determined by a single�…
theorem. However, it becomes infeasible when the random variable determined by a single�…
Quartic quantum theory: an extension of the standard quantum mechanics
K Życzkowski�- Journal of Physics A: Mathematical and�…, 2008 - iopscience.iop.org
We propose an extended quantum theory, in which the number K of parameters necessary
to characterize a quantum state behaves as fourth power of the number N of distinguishable�…
to characterize a quantum state behaves as fourth power of the number N of distinguishable�…
Generalized measure of quantum Fisher information
In this work, we present a lower bound on the quantum Fisher information (QFI) which is
efficiently computable on near-term quantum devices. This bound itself is of interest, as we�…
efficiently computable on near-term quantum devices. This bound itself is of interest, as we�…
Universal properties of partial quantum maps
P Andr�s-Mart��-nez, C Heunen…�- arXiv preprint arXiv�…, 2022 - arxiv.org
We provide a universal construction of the category of finite-dimensional C*-algebras and
completely positive trace-nonincreasing maps from the rig category of finite-dimensional�…
completely positive trace-nonincreasing maps from the rig category of finite-dimensional�…
[HTML][HTML] Quantum hidden Markov models based on transition operation matrices
In this work, we extend the idea of quantum Markov chains (Gudder in J Math Phys 49 (7):
072105 [3]) in order to propose quantum hidden Markov models (QHMMs). For that, we use�…
072105 [3]) in order to propose quantum hidden Markov models (QHMMs). For that, we use�…
Geometry of sets of quantum maps: a generic positive map acting on a high-dimensional system is not completely positive
We investigate the set (a) of positive, trace preserving maps acting on density matrices of
size N and a sequence of its nested subsets: the sets of maps which are (b)�…
size N and a sequence of its nested subsets: the sets of maps which are (b)�…
Equilibration and typicality in quantum processes
P Figueroa-Romero�- arXiv preprint arXiv:2102.02289, 2021 - arxiv.org
Forgetfulness is a common feature of nature. Moreover, without forgetfulness, repeatability
would be impossible. Despite this, small systems constantly leak information about their�…
would be impossible. Despite this, small systems constantly leak information about their�…