4 research outputs found
Resource frugal optimizer for quantum machine learning
Quantum-enhanced data science, also known as quantum machine learning (QML),
is of growing interest as an application of near-term quantum computers.
Variational QML algorithms have the potential to solve practical problems on
real hardware, particularly when involving quantum data. However, training
these algorithms can be challenging and calls for tailored optimization
procedures. Specifically, QML applications can require a large shot-count
overhead due to the large datasets involved. In this work, we advocate for
simultaneous random sampling over both the dataset as well as the measurement
operators that define the loss function. We consider a highly general loss
function that encompasses many QML applications, and we show how to construct
an unbiased estimator of its gradient. This allows us to propose a shot-frugal
gradient descent optimizer called Refoqus (REsource Frugal Optimizer for
QUantum Stochastic gradient descent). Our numerics indicate that Refoqus can
save several orders of magnitude in shot cost, even relative to optimizers that
sample over measurement operators alone.Comment: 22 pages, 6 figures - extra quantum autoencoder results adde
Channel induced dynamics of quantum information in mixed state free QFTs
We propose a framework for Quantum Field Theory (QFT) studies that allows us
to represent field excitations as quantum channels. We demonstrate
inner-workings of the proposed scheme for two universal states: the regularized
vacuum state of a one dimensional QFT system and the lattice-regulated
Thermofield Double State of two identical free QFTs. We investigate actions of
unitary and non-unitary Bosonic Gaussian channels (including Petz Recovery
maps). To evaluate and quantify the character of the channel static action and
channel induced dynamics we calculate quantum entropies and fidelities.Comment: 9 pages, 6 figure
Nashian game theory is incompatible with quantum contextuality
In this work, we design a novel game-theoretical framework capable of capturing the defining aspects of quantum theory. We introduce an original model and an algorithmic procedure that enables to express measurement scenarios encountered in quantum mechanics as multiplayer games and to translate physical notions of causality, correlation, and contextuality to particular aspects of game theory. Furthermore, inspired by the established correspondence, we investigate the causal consistency of games in extensive form with imperfect information from the quantum perspective and we conclude that counterfactual dependencies should be distinguished from causation and correlation as a separate phenomenon of its own. Most significantly, we deduce that Nashian free choice game theory is non-contextual and hence is in contradiction with the Kochen-Specker theorem. Hence, we propose that quantum physics should be analysed with toolkits from non-Nashian game theory applied to our suggested model
Nashian game theory is incompatible with quantum contextuality
In this work, we design a novel game-theoretical framework capable of capturing the defining aspects of quantum theory. We introduce an original model and an algorithmic procedure that enables to express measurement scenarios encountered in quantum mechanics as multiplayer games and to translate physical notions of causality, correlation, and contextuality to particular aspects of game theory. Furthermore, inspired by the established correspondence, we investigate the causal consistency of games in extensive form with imperfect information from the quantum perspective and we conclude that counterfactual dependencies should be distinguished from causation and correlation as a separate phenomenon of its own. Most significantly, we deduce that Nashian free choice game theory is non-contextual and hence is in contradiction with the Kochen-Specker theorem. Hence, we propose that quantum physics should be analysed with toolkits from non-Nashian game theory applied to our suggested model