0000000000319047

AUTHOR

Leonardo Banchi

0000-0002-6324-8754

showing 2 related works from this author

Supervised learning of time-independent Hamiltonians for gate design

2018

We present a general framework to tackle the problem of finding time-independent dynamics generating target unitary evolutions. We show that this problem is equivalently stated as a set of conditions over the spectrum of the time-independent gate generator, thus transforming the task to an inverse eigenvalue problem. We illustrate our methodology by identifying suitable time-independent generators implementing Toffoli and Fredkin gates without the need for ancillae or effective evolutions. We show how the same conditions can be used to solve the problem numerically, via supervised learning techniques. In turn, this allows us to solve problems that are not amenable, in general, to direct ana…

Theoretical computer scienceDiagonalFOS: Physical sciencesGeneral Physics and AstronomyInverseToffoli gate02 engineering and technologysupervised learning01 natural sciencesUnitary statequantum computingSettore FIS/03 - Fisica Della Materia010305 fluids & plasmasSet (abstract data type)Computer Science::Hardware Architecturesymbols.namesakeComputer Science::Emerging Technologiesquant-ph020204 information systems0103 physical sciences0202 electrical engineering electronic engineering information engineering010306 general physicsEigenvalues and eigenvectorsQuantum computerMathematicsPhysicsFlexibility (engineering)Discrete mathematicsQuantum PhysicsSupervised learningInverse problemHermitian matrixmachine learningQubitsymbolsPairwise comparisonquantum circuitsQuantum Physics (quant-ph)Hamiltonian (quantum mechanics)Generator (mathematics)Quantum Information and Measurement (QIM) V: Quantum Technologies
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Approximate supervised learning of quantum gates via ancillary qubits

2018

We present strategies for the training of a qubit network aimed at the ancilla-assisted synthesis of multi-qubit gates based on a set of restricted resources. By assuming the availability of only time-independent single and two-qubit interactions, we introduce and describe a supervised learning strategy implemented through momentum-stochastic gradient descent with automatic differentiation methods. We demonstrate the effectiveness of the scheme by discussing the implementation of non-trivial three qubit operations, including a Quantum Fourier Transform (QFT) and a half-adder gate.

Theoretical computer sciencePhysics and Astronomy (miscellaneous)Computer scienceSupervised learningQuantum Physicsquantum-computation01 natural sciencesSettore FIS/03 - Fisica Della Materia010305 fluids & plasmasSet (abstract data type)Quantum-informationComputer Science::Emerging TechnologiesQuantum gatemachine learningquantum informationQubit0103 physical sciences/dk/atira/pure/subjectarea/asjc/3100/3101Hardware_ARITHMETICANDLOGICSTRUCTURESQuantum informationquantum-gates010306 general physicsQuantum computer
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