14,574 research outputs found
On compression rate of quantum autoencoders: Control design, numerical and experimental realization
Quantum autoencoders which aim at compressing quantum information in a
low-dimensional latent space lie in the heart of automatic data compression in
the field of quantum information. In this paper, we establish an upper bound of
the compression rate for a given quantum autoencoder and present a learning
control approach for training the autoencoder to achieve the maximal
compression rate. The upper bound of the compression rate is theoretically
proven using eigen-decomposition and matrix differentiation, which is
determined by the eigenvalues of the density matrix representation of the input
states. Numerical results on 2-qubit and 3-qubit systems are presented to
demonstrate how to train the quantum autoencoder to achieve the theoretically
maximal compression, and the training performance using different machine
learning algorithms is compared. Experimental results of a quantum autoencoder
using quantum optical systems are illustrated for compressing two 2-qubit
states into two 1-qubit states
Learning Control of Quantum Systems
This paper provides a brief introduction to learning control of quantum
systems. In particular, the following aspects are outlined, including
gradient-based learning for optimal control of quantum systems, evolutionary
computation for learning control of quantum systems, learning-based quantum
robust control, and reinforcement learning for quantum control.Comment: 9 page
Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
We set up a general density-operator approach to geometric steady-state
pumping through slowly driven open quantum systems. This approach applies to
strongly interacting systems that are weakly coupled to multiple reservoirs at
high temperature, illustrated by an Anderson quantum dot, but shows potential
for generalization. Pumping gives rise to a nonadiabatic geometric phase that
can be described by a framework originally developed for classical dissipative
systems by Landsberg. This geometric phase is accumulated by the transported
observable (charge, spin, energy) and not by the quantum state. It thus differs
radically from the adiabatic Berry-Simon phase, even when generalizing it to
mixed states, following Sarandy and Lidar. Importantly, our geometric
formulation of pumping stays close to a direct physical intuition (i) by tying
gauge transformations to calibration of the meter registering the transported
observable and (ii) by deriving a geometric connection from a driving-frequency
expansion of the current. Our approach provides a systematic and efficient way
to compute the geometric pumping of various observables, including charge,
spin, energy and heat. Our geometric curvature formula reveals a general
experimental scheme for performing geometric transport spectroscopy that
enhances standard nonlinear spectroscopies based on measurements for static
parameters. We indicate measurement strategies for separating the useful
geometric pumping contribution to transport from nongeometric effects. Finally,
we highlight several advantages of our approach in an exhaustive comparison
with the Sinitsyn-Nemenmann full-counting statistics (FCS) approach to
geometric pumping of an observable`s first moment. We explain how in the FCS
approach an "adiabatic" approximation leads to a manifestly nonadiabatic result
involving a finite retardation time of the response to parameter driving.Comment: Major changes: the text was reorganized and improved throughout.
Several typos have been fixed: Note in particular in Eq. (87), (F3) and an
important comment after (107). Throughout Sec V the initial time was
incorrectly set to 0 instead of t_
Realistic and verifiable coherent control of excitonic states in a light harvesting complex
We explore the feasibility of coherent control of excitonic dynamics in light
harvesting complexes, analyzing the limits imposed by the open nature of these
quantum systems. We establish feasible targets for phase and phase/amplitude
control of the electronically excited state populations in the
Fenna-Mathews-Olson (FMO) complex and analyze the robustness of this control
with respect to orientational and energetic disorder, as well as decoherence
arising from coupling to the protein environment. We further present two
possible routes to verification of the control target, with simulations for the
FMO complex showing that steering of the excited state is experimentally
verifiable either by extending excitonic coherence or by producing novel states
in a pump-probe setup. Our results provide a first step toward coherent control
of these complex biological quantum systems in an ultrafast spectroscopy setup.Comment: 12 pages, 8 figure
Variational ansatz-based quantum simulation of imaginary time evolution
Imaginary time evolution is a powerful tool for studying quantum systems.
While it is possible to simulate with a classical computer, the time and memory
requirements generally scale exponentially with the system size. Conversely,
quantum computers can efficiently simulate quantum systems, but not non-unitary
imaginary time evolution. We propose a variational algorithm for simulating
imaginary time evolution on a hybrid quantum computer. We use this algorithm to
find the ground-state energy of many-particle systems; specifically molecular
hydrogen and lithium hydride, finding the ground state with high probability.
Our method can also be applied to general optimisation problems and quantum
machine learning. As our algorithm is hybrid, suitable for error mitigation and
can exploit shallow quantum circuits, it can be implemented with current
quantum computers.Comment: 14 page
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