Generation of non-Abelian geometric phases in degenerate atomic transitions

Simeonov, Lachezar S.; Vitanov, Nikolay V.

doi:10.1103/physreva.96.032102

Cited by 6 publications

(2 citation statements)

References 49 publications

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“…As such, the Z 2 PH-symmetric D-class setting is not a convenient choice but rather a necessity, and this is the challenge for meta-material implementation which is addressed here. In 2-dimensions or in synthetic dimensions, non-Abelian geometric phases can be generated with other topological classes [25,26] The classical analogue of a fully general PH-symmetric Kitaev chain is shown in Fig. 1.…”

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confidence: 99%

Topological Braiding of Non-Abelian Midgap Defects in Classical Metamaterials

Barlas

Prodan

2020

Phys. Rev. Lett.

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Non-trivial braid-group representations appear as non-Abelian quantum statistics of emergent Majorana zero modes in one and two-dimensional topological superconductors. Here, we generate such representations with topologically protected domain-wall modes in a classical analogue of the Kitaev superconducting chain, with a particle-hole like symmetry and a Z 2 topological invariant. The mid-gap modes are found to exhibit distinct fusion channels and rich non-Abelian braiding properties, which are investigated using a T-junction setup. We employ the adiabatic theorem to explicitly calculate the braiding matrices for one and two pairs of these mid-gap topological defects.

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confidence: 99%

Topological Braiding of Non-Abelian Midgap Defects in Classical Metamaterials

Barlas

Prodan

2020

Phys. Rev. Lett.

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“…Therefore, a method which is particularly useful for controlling errors must be found to implement any kinds of quantum computer. One possible method to achieve more reliable quantum computation is to use geometric phases [4][5][6][7][8][9][10][11][12] under fluctuations [13,14] of the path in state space to implement high-fidelity quantum logic gates. Since geometric phases of the total phase obtained by the wave function are divided into adiabatic geometric phases and non-adiabatic geometric phases in different situations, geometric quantum computation is also divided into adiabatic quantum computation [15] and non-adiabatic quantum computation [16][17][18][19][20].…”

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confidence: 99%

Room temperature high-fidelity non-adiabatic holonomic quantum computation on solid-state spins in Nitrogen-Vacancy centers

Yan¹,

Chen²,

Lu³

2017

Preprint

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We show that a high-fidelity quantum gates to implement non-adiabatic holonomic quantum computation under electron spin states in Nitrogen-Vacancy(N V ) centers, providing an extensible experimental platform that has the potential for room-temperature quantum computing, which has increased attention recent years. Compared with the previous method, we can implement both the one-and two-qubit gates by varying the amplitude and phase of the microwave pulse applied to control the non-Abelian geometric phase acquired by N V centers. We also find that our proposed scheme may be implemented in the current experiment to discuss the gate fidelity with the experimental parameters. Therefore, the scheme adopts a new method to achieve high-fidelity non-adiabatic holonomic quantum computation.

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Room Temperature High-fidelity Non-adiabatic Holonomic Quantum Computation on Solid-state Spins in Nitrogen-vacancy Centers

Yan

Lü

2020

Int J Theor Phys

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Generation of non-Abelian geometric phases in degenerate atomic transitions

Cited by 6 publications

References 49 publications

Topological Braiding of Non-Abelian Midgap Defects in Classical Metamaterials

Topological Braiding of Non-Abelian Midgap Defects in Classical Metamaterials

Room temperature high-fidelity non-adiabatic holonomic quantum computation on solid-state spins in Nitrogen-Vacancy centers

Room Temperature High-fidelity Non-adiabatic Holonomic Quantum Computation on Solid-state Spins in Nitrogen-vacancy Centers

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