Quantum Computing (Natural Computing Series)

Yudai Suzuki, Qi Gao, Ken C. Pradel +2 more

Reservoir computing is a temporal information processing system that exploits artificial or physical dissipative dynamics to learn a dynamical system and generate the target time-series. This paper proposes the use of real superconducting quantum computing devices as the reservoir, where the dissipative property is served by the natural noise added to the quantum bits. The performance of this natural quantum reservoir is demonstrated in a benchmark time-series regression problem and a practical problem classifying different objects based on temporal sensor data. In both cases the proposed reservoir computer shows a higher performance than a linear regression or classification model. The results indicate that a noisy quantum device potentially functions as a reservoir computer, and notably, the quantum noise, which is undesirable in the conventional quantum computation, can be used as a rich computation resource.

Osama Babakhel, Mujahid Tabassum, Tripti Sharma

Riccardo Bassoli, Holger Boche, Christian Deppe +4 more

Arman Kussainov, Ainur Karimova, S. G. Kussainov +1 more

We considered a few aspects of quantum computing in connection with the time series analysis. Quantum Fourier Transform was selected as a test example due to its important practical value in spectral analysis, the easiness of implementation and its generic nature with respect to many other quantum algorithms. The obvious drawbacks have been identified preventing the straightforward application of Quantum Fourier Transform to the evolving times series. The limited available register size of a quantum computer may be an issue at the data postprocessing stage, but carry significant practical value if included into the data acquisition stage. The analyzed qubit by qubit procedure is favoring the way most of the time series are acquired, which is one at a time. This procedure should be necessarily considered with the decoherence issue for the big quantum systems and long evolution times.

Vasil Dinev Penchev

Natural argument is represented as the limit, to which an infinite Turing processconverges. A Turing machine, in which the bits are substituted with qubits, is introduced. Thatquantum Turing machine can recognize two complementary natural arguments in any data.That ability of natural argument is interpreted as an intellect featuring any quantum computer.The property is valid only within a quantum computer: To utilize it, the observer should be sitedinside it. Being outside it, the observer would obtain quite different result depending on thedegree of the entanglement of the quantum computer and observer. All extraordinary propertiesof a quantum computer are due to involving a converging infinite computational process contentingnecessarily both a continuous advancing calculation and a leap to the limit. Three typesof quantum computation can be distinguished according to whether the series is a finite one, aninfinite rational or irrational number

ARTUR K. EKERT, Chiara Macchiavello