3,881 research outputs found
Learning-based quantum error mitigation
If NISQ-era quantum computers are to perform useful tasks, they will need to
employ powerful error mitigation techniques. Quasi-probability methods can
permit perfect error compensation at the cost of additional circuit executions,
provided that the nature of the error model is fully understood and
sufficiently local both spatially and temporally. Unfortunately these
conditions are challenging to satisfy. Here we present a method by which the
proper compensation strategy can instead be learned ab initio. Our training
process uses multiple variants of the primary circuit where all non-Clifford
gates are substituted with gates that are efficient to simulate classically.
The process yields a configuration that is near-optimal versus noise in the
real system with its non-Clifford gate set. Having presented a range of
learning strategies, we demonstrate the power of the technique both with real
quantum hardware (IBM devices) and exactly-emulated imperfect quantum
computers. The systems suffer a range of noise severities and types, including
spatially and temporally correlated variants. In all cases the protocol
successfully adapts to the noise and mitigates it to a high degree.Comment: 28 pages, 19 figure
Frequency-encoded linear cluster states with coherent Raman photons
Entangled multi-qubit states are an essential resource for quantum
information and computation. Solid-state emitters can mediate interactions
between subsequently emitted photons via their spin, thus offering a route
towards generating entangled multi-photon states. However, existing schemes
typically rely on the incoherent emission of single photons and suffer from
severe practical limitations, for self-assembled quantum dots most notably the
limited spin coherence time due to Overhauser magnetic field fluctuations. We
here propose an alternative approach of employing spin-flip Raman scattering
events of self-assembled quantum dots in Voigt geometry. We argue that weakly
driven hole spins constitute a promising platform for the practical generation
of frequency-entangled photonic cluster states
Units of rotational information
Entanglement in angular momentum degrees of freedom is a precious resource
for quantum metrology and control. Here we study the conversions of this
resource, focusing on Bell pairs of spin-J particles, where one particle is
used to probe unknown rotations and the other particle is used as reference.
When a large number of pairs are given, we show that every rotated spin-J Bell
state can be reversibly converted into an equivalent number of rotated spin
one-half Bell states, at a rate determined by the quantum Fisher information.
This result provides the foundation for the definition of an elementary unit of
information about rotations in space, which we call the Cartesian refbit. In
the finite copy scenario, we design machines that approximately break down Bell
states of higher spins into Cartesian refbits, as well as machines that
approximately implement the inverse process. In addition, we establish a
quantitative link between the conversion of Bell states and the simulation of
unitary gates, showing that the fidelity of probabilistic state conversion
provides upper and lower bounds on the fidelity of deterministic gate
simulation. The result holds not only for rotation gates, but also to all sets
of gates that form finite-dimensional representations of compact groups. For
rotation gates, we show how rotations on a system of given spin can simulate
rotations on a system of different spin.Comment: 25 pages + appendix, 7 figures, new results adde
Quantum autoencoders via quantum adders with genetic algorithms
The quantum autoencoder is a recent paradigm in the field of quantum machine
learning, which may enable an enhanced use of resources in quantum
technologies. To this end, quantum neural networks with less nodes in the inner
than in the outer layers were considered. Here, we propose a useful connection
between approximate quantum adders and quantum autoencoders. Specifically, this
link allows us to employ optimized approximate quantum adders, obtained with
genetic algorithms, for the implementation of quantum autoencoders for a
variety of initial states. Furthermore, we can also directly optimize the
quantum autoencoders via genetic algorithms. Our approach opens a different
path for the design of quantum autoencoders in controllable quantum platforms
Cloning of a quantum measurement
We analyze quantum algorithms for cloning of a quantum measurement. Our aim
is to mimic two uses of a device performing an unknown von Neumann measurement
with a single use of the device. When the unknown device has to be used before
the bipartite state to be measured is available we talk about 1 -> 2 learning
of the measurement, otherwise the task is called 1 -> 2 cloning of a
measurement. We perform the optimization for both learning and cloning for
arbitrary dimension of the Hilbert space. For 1 -> 2 cloning we also propose a
simple quantum network that realizes the optimal strategy.Comment: 10 pages, 1 figur
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