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A Hierarchical Approach to Computer-Aided Design of Quantum Circuits

Marek A. Perkowski, Martin Lukáč, Paweł Kerntopf +7 more

A new approach to synthesis of quantum logic circuits has been presented in this paper. This approach produces better results than the previous approaches based on classical reversible logic and can be easier tuned to any particular quantum technology such as nuclear magnetic resonance (NMR). The approach is based on the following principles: (1) design of (complex) gates using approach that links evolutionary, combinatorial and human interaction approaches, (2) design of circuits with these gates using evolutionary and search methods, (3) macro-generation of complex gates to lower level quantum primitives, (4) applying technology-related optimizing tautological transforms that take realistic quantum layout constraints, (5) calculating realistic costs related to quantum realization, (6) synthesis of incompletely specified functions. 1.A new approach to synthesis of quantum logic circuits has been presented in this paper. This approach produces better results than the previous approaches based on classical reversible logic and can be easier tuned to any particular quantum technology such as nuclear magnetic resonance (NMR). The approach is based on the following principles: (1) design of (complex) gates using approach that links evolutionary, combinatorial and human interaction approaches, (2) design of circuits with these gates using evolutionary and search methods, (3) macro-generation of complex gates to lower level quantum primitives, (4) applying technology-related optimizing tautological transforms that take realistic quantum layout constraints, (5) calculating realistic costs related to quantum realization, (6) synthesis of incompletely specified functions. 1.

Jan 1, 200360 citations

The changing phases of quantum magnets

Tim D. Reid

Nature Middle EastApr 20, 20210 citations

MOLECULAR MAGNETS FOR QUANTUM COMPUTATION

Takayoshi Kuroda

Jun 1, 20090 citations

Control protocol for dynamic synthesis of qubit and qudit gates using photonic pulses and magnetic fields

Andrés F. Urquijo-Rodríguez, Edgar A. Gómez, Herbert Vinck-Posada

We propose a theoretical control protocol designed for the dynamic synthesis of single-qubit and four-level qudit quantum gates using external parameters, such as photonic Gaussian pulses and magnetic fields, in a microcavity-quantum well system. Our approach takes advantage of tunable coherent light-matter interactions that can be modulated by the magnetic field between the exciton and negative trion coupled to the lowest photonic mode. We demonstrate that it is possible to achieve precise manipulation of populations of encoded quantum states through the unitary evolution of the system. In particular, we illustrate our optimization method for generating a single-qubit gate with a mean fidelity of 99.99 as well as the realization of an iswap gate in the four-level qudit case with a fidelity of 99.6.We propose a theoretical control protocol designed for the dynamic synthesis of single-qubit and four-level qudit quantum gates using external parameters, such as photonic Gaussian pulses and magnetic fields, in a microcavity-quantum well system. Our approach takes advantage of tunable coherent light-matter interactions that can be modulated by the magnetic field between the exciton and negative trion coupled to the lowest photonic mode. We demonstrate that it is possible to achieve precise manipulation of populations of encoded quantum states through the unitary evolution of the system. In particular, we illustrate our optimization method for generating a single-qubit gate with a mean fidelity of 99.99 as well as the realization of an iswap gate in the four-level qudit case with a fidelity of 99.6.

arXiv:2509.04825Physical Review ResearchSep 16, 20250 citations

Engineering of an all‐heteronuclear 5‐qubit NMR quantum computer

Raimund Marx, Nikolas Pomplun, Wolfgang Bermel +4 more

The realization of an all-heteronuclear 5-qubit nuclear magnetic resonance quantum computer is reported, from the design and synthesis of a suitable molecule through the engineering of a prototype 6-channel probe head. Full control over the quantum computer is shown by a benchmark experiment.

Magnetic Resonance in ChemistryApr 9, 201511 citations

QUANTUM FRUSTRATED MAGNETS: FROM THEORY TO EXPERIMENTS

Frédéric Mila

Recent Progress in Many-Body TheoriesDec 1, 20020 citations

Design and Synthesis of Novel Quantum Magnets

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