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NQIT Hub Launch

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Academics and industry partners of the NQIT Hub gathered with representatives from the EPSRC and local government to celebrate the launch of the ambitious project which will look to combine state of the art systems for controlling particles of light (photons) together with devices that control matter at the atomic level to develop technologies for the future of communications and computing.

NQIT is one of four Quantum Technology Hubs that will be funded by the Engineering and Physical Sciences Research Council (EPSRC) from the £270 million investment in the UK National Quantum Technologies Programme announced by the Chancellor, George Osborne in his Autumn Statement of 2013. NQIT will receive a total of almost £38m of government funding.

Within NQIT are over a dozen industrial partners and nine universities: Oxford, Bath, Cambridge, Edinburgh, Leeds, Southampton, Strathclyde, Sussex and Warwick.

The flagship goal of NQIT is to build the Q20:20 machine, a fully-functional small quantum computer. This device, targeted to be operational within five years, would far exceed the size of any previous quantum information processor. Crucially its design is fundamentally scalable, so that it would open the pathway to quantum computers big enough to tackle any problem.

Applications of the technology include ‘machine learning’ – the challenge of making a machine that can understand patterns and meaning within data without having to be ‘taught’ by a human.

‘Quantum Computing will enable users to solve problems that are completely intractable on conventional supercomputers. Meanwhile Quantum Simulation provides a way to understand and predict the properties of complex systems like advanced new materials or drugs, by using a quantum device to mimic the system under study’ said NQIT’s Director Professor Ian Walmsley of Oxford University’s Department of Physics

‘The Oxford-led Hub will use a novel network architecture, where building blocks such as trapped ions, superconducting circuits, or electron spins in solids, are linked up by photonic quantum interconnects. This naturally aligns with the work at other Hubs, through systems like distributed sensors and communications networks.’

Source: https://www.nqit.ox.ac.uk/news/nqit-hub-launch

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Approximating Hamiltonian dynamics with the Nyström method

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Alessandro Rudi1, Leonard Wossnig2,3, Carlo Ciliberto2, Andrea Rocchetto2,4,5, Massimiliano Pontil6, and Simone Severini2

1INRIA – Sierra project team, Paris, France
2Department of Computer Science, University College London, London, United Kingdom
3Rahko Ltd., London, United Kingdom
4Department of Computer Science, University of Texas at Austin, Austin, United States
5Department of Computer Science, University of Oxford, Oxford, United Kingdom
6Computational Statistics and Machine Learning, IIT, Genoa, Italy

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Abstract

Simulating the time-evolution of quantum mechanical systems is BQP-hard and expected to be one of the foremost applications of quantum computers. We consider classical algorithms for the approximation of Hamiltonian dynamics using subsampling methods from randomized numerical linear algebra. We derive a simulation technique whose runtime scales polynomially in the number of qubits and the Frobenius norm of the Hamiltonian. As an immediate application, we show that sample based quantum simulation, a type of evolution where the Hamiltonian is a density matrix, can be efficiently classically simulated under specific structural conditions. Our main technical contribution is a randomized algorithm for approximating Hermitian matrix exponentials. The proof leverages a low-rank, symmetric approximation via the Nyström method. Our results suggest that under strong sampling assumptions there exist classical poly-logarithmic time simulations of quantum computations.

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Cited by

[1] Ewin Tang, “Quantum-inspired classical algorithms for principal component analysis and supervised clustering”, arXiv:1811.00414.

[2] Juan A. Acebron, “A Monte Carlo method for computing the action of a matrix exponential on a vector”, arXiv:1904.12759.

[3] Nai-Hui Chia, András Gilyén, Tongyang Li, Han-Hsuan Lin, Ewin Tang, and Chunhao Wang, “Sampling-based sublinear low-rank matrix arithmetic framework for dequantizing quantum machine learning”, arXiv:1910.06151.

The above citations are from SAO/NASA ADS (last updated successfully 2020-02-20 15:40:36). The list may be incomplete as not all publishers provide suitable and complete citation data.

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Source: https://quantum-journal.org/papers/q-2020-02-20-234/

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Extension of the Alberti-Ulhmann criterion beyond qubit dichotomies

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Michele Dall’Arno1,2, Francesco Buscemi3, and Valerio Scarani1,4

1Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, 117543, Singapore
2Faculty of Education and Integrated Arts and Sciences, Waseda University, 1-6-1 Nishiwaseda, Shinjuku-ku, Tokyo 169-8050, Japan
3Graduate School of Informatics, Nagoya University, Chikusa-ku, 464-8601 Nagoya, Japan
4Department of Physics, National University of Singapore, 2 Science Drive 3, 117542, Singapore

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Abstract

The Alberti-Ulhmann criterion states that any given qubit dichotomy can be transformed into any other given qubit dichotomy by a quantum channel if and only if the testing region of the former dichotomy includes the testing region of the latter dichotomy. Here, we generalize the Alberti-Ulhmann criterion to the case of arbitrary number of qubit or qutrit states. We also derive an analogous result for the case of qubit or qutrit measurements with arbitrary number of elements. We demonstrate the possibility of applying our criterion in a semi-device independent way.

As soon as entanglement was recognised as a resource, theorists started studying the interconversions properties of this resource. The most famous such question is: given N copies of a state rho, how many copies N’ of the state rho’ can one obtain with local operations and classical communication? This question led to the definition of entanglement of formation (rho is the maximally entangled state), of distillation (rho’ is the maximally entangled state), to the discovery of inequivalent entanglement classes for multipartite systems… The amount of literature on this question is enormous.

Very little however is known about a different problem, the one we consider here. The question is whether a pair of states (rho,sigma) can be converted into another pair of states (rho’,sigma’). This question does not need to refer to entanglement: in fact, here we don’t consider composite systems, and consequently we don’t restrict the possible operations. A very simple answer would be the one that holds for classical probability distributions: Pair 1 can be converted into Pair 2, if all the statistics that can be observed with Pair 2 can also be observed with Pair 1. This conveys the idea that Pair 1 can do all that Pair 2 can do, and possibly more. This answer holds for two states of qubits (Alberti and Uhlmann, 1980), but counter-examples are known already when Pair 1 comprises qutrit states. In this paper, we prove that the classical-like characterisation still holds when Pair 1 is generalized to any family of qubit states, as soon as they can all be expressed with real coefficients, and Pair 2 is generalized to any family of qubit or, under certain hypotheses, qutrit, states. We also exploit a duality between states and measurements to present a similar characterisation of measurement devices.

► BibTeX data

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Cited by

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Control of anomalous diffusion of a Bose polaron

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Christos Charalambous1, Miguel Ángel García-March1,2, Gorka Muñoz-Gil1, Przemysław Ryszard Grzybowski3, and Maciej Lewenstein1,4

1ICFO – Institut de Ciéncies Fotóniques, The Barcelona Institute of Science and Technology, 08860 Castelldefels (Barcelona), Spain
2Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, E-46022 València, Spain
3Faculty of Physics, Adam Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
4ICREA, Lluis Companys 23, E-08010 Barcelona, Spain

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Abstract

We study the diffusive behavior of a Bose polaron immersed in a coherently coupled two-component Bose-Einstein Condensate (BEC). We assume a uniform, one-dimensional BEC. Polaron superdiffuses if it couples in the same manner to both components, i.e. either attractively or repulsively to both of them. This is the same behavior as that of an impurity immersed in a single BEC. Conversely, the polaron exhibits a transient nontrivial subdiffusive behavior if it couples attractively to one of the components and repulsively to the other. The anomalous diffusion exponent and the duration of the subdiffusive interval can be controlled with the Rabi frequency of the coherent coupling between the two components, and with the coupling strength of the impurity to the BEC.

The phenomenon of anomalous diffusion, i.e. when a particle does not follow Brownian dynamics, attracts a growing interest in classical and quantum physics, appearing in a plethora of systems. In classical systems, there has been a considerable effort to elucidate the properties and conditions of anomalous diffusive behavior, with a large emphasis given to the question of how this anomalous diffusion could potentially be controlled.
In quantum systems, a paradigmatic instance of a highly controlled system is that of a Bose Einstein Condensate (BEC). Furthermore, it has already been shown that BEC with tunable interactions, are promising systems to study a number of diffusion related phenomena.

In this work, we study the diffusive behavior of an impurity immersed in a coherently coupled two-component BEC. We find that the impurity superdiffuses if it couples in the same manner to both components, i.e. either attractively or repulsively to both of them. This is the same behavior as that of an impurity immersed in a single BEC. However, the impurity exhibits a transient nontrivial subdiffusive behavior if it couples attractively to one of the components and repulsively to the other. The anomalous diffusion exponent as well as the duration of the subdiffusive interval, appearing in this case, are shown to be controlled by the Rabi frequency of the coherent coupling between the two components, and by the coupling strength of the impurity to the BEC.

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