238 research outputs found
Coherent control of quantum systems as a resource theory
Control at the interface between the classical and the quantum world is
fundamental in quantum physics. In particular, how classical control is
enhanced by coherence effects is an important question both from a theoretical
as well as from a technological point of view. In this work, we establish a
resource theory describing this setting and explore relations to the theory of
coherence, entanglement and information processing. Specifically, for the
coherent control of quantum systems the relevant resources of entanglement and
coherence are found to be equivalent and closely related to a measure of
discord. The results are then applied to the DQC1 protocol and the precision of
the final measurement is expressed in terms of the available resources.Comment: 9 pages, 4 figures, final version. Discussions were improved and some
points were clarified. The title was slightly changed to agree with the
published versio
Transfer learning in hybrid classical-quantum neural networks
We extend the concept of transfer learning, widely applied in modern machine learning algorithms, to the emerging context of hybrid neural networks composed of classical and quantum elements. We propose different implementations of hybrid transfer learning, but we focus mainly on the paradigm in which a pre-trained classical network is modified and augmented by a final variational quantum circuit. This approach is particularly attractive in the current era of intermediate-scale quantum technology since it allows to optimally pre-process high dimensional data (e.g., images) with any state-of-the-art classical network and to embed a select set of highly informative features into a quantum processor. We present several proof-of-concept examples of the convenient application of quantum transfer learning for image recognition and quantum state classification. We use the crossplatform software library PennyLane to experimentally test a high-resolution image classifier with two different quantum computers, respectively provided by IBM and Rigetti
Symmetric derivatives of parametrized quantum circuits
Symmetries are crucial for tailoring parametrized quantum circuits to
applications, due to their capability to capture the essence of physical
systems. In this work, we shift the focus away from incorporating symmetries in
the circuit design and towards symmetry-aware training of variational quantum
algorithms. For this, we introduce the concept of projected derivatives of
parametrized quantum circuits, in particular the equivariant and covariant
derivatives. We show that the covariant derivative gives rise to the quantum
Fisher information and quantum natural gradient. This provides an operational
meaning for the covariant derivative, and allows us to extend the quantum
natural gradient to all continuous symmetry groups. Connecting to traditional
particle physics, we confirm that our covariant derivative is the same as the
one introduced in physical gauge theory. This work provides tools for tailoring
variational quantum algorithms to symmetries by incorporating them locally in
derivatives, rather than into the design of the circuit.Comment: 22+20 pages, 6+1 figure
PennyLane: Automatic differentiation of hybrid quantum-classical computations
PennyLane is a Python 3 software framework for optimization and machine
learning of quantum and hybrid quantum-classical computations. The library
provides a unified architecture for near-term quantum computing devices,
supporting both qubit and continuous-variable paradigms. PennyLane's core
feature is the ability to compute gradients of variational quantum circuits in
a way that is compatible with classical techniques such as backpropagation.
PennyLane thus extends the automatic differentiation algorithms common in
optimization and machine learning to include quantum and hybrid computations. A
plugin system makes the framework compatible with any gate-based quantum
simulator or hardware. We provide plugins for Strawberry Fields, Rigetti
Forest, Qiskit, Cirq, and ProjectQ, allowing PennyLane optimizations to be run
on publicly accessible quantum devices provided by Rigetti and IBM Q. On the
classical front, PennyLane interfaces with accelerated machine learning
libraries such as TensorFlow, PyTorch, and autograd. PennyLane can be used for
the optimization of variational quantum eigensolvers, quantum approximate
optimization, quantum machine learning models, and many other applications.Comment: Code available at https://github.com/XanaduAI/pennylane/ .
Significant contributions to the code (new features, new plugins, etc.) will
be recognized by the opportunity to be a co-author on this pape
Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states
The strange property of the Einstein-Podolsky-Rosen (EPR) correlation between
two remote physical systems is a primitive object on the study of quantum
entanglement. In order to understand the entanglement in canonical
continuous-variable systems, a pair of the EPR-like uncertainties is an
essential tool. Here, we consider a normalized pair of the EPR-like
uncertainties and introduce a state-overlap to a classically correlated mixture
of coherent states. The separable condition associated with this state-overlap
determines the strength of the EPR-like correlation on a coherent-state basis
in order that the state is entangled. We show that the coherent-state-based
condition is capable of detecting the class of two-mode Gaussian entangled
states. We also present an experimental measurement scheme for estimation of
the state-overlap by a heterodyne measurement and a photon detection with a
feedforward operation.Comment: 9 pages, 5 figures. A part of the materials in Sec. VI B of previous
versions was moved into another paper: Journal of Atomic, Molecular, and
Optical Physics, 2012, 854693 (2012).
http://www.hindawi.com/journals/jamop/2012/854693
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