Non-adiabatic holonomies as photonic quantum gates
- URL: http://arxiv.org/abs/2401.04014v1
- Date: Mon, 8 Jan 2024 16:44:45 GMT
- Title: Non-adiabatic holonomies as photonic quantum gates
- Authors: Vera Neef, Julien Pinske, Tom A.W. Wolterink, Karo Becker, Matthias
Heinrich, Stefan Scheel, and Alexander Szameit
- Abstract summary: We present the quantum-optical realization of non-adiabatic holonomies that can be used as single-qubit quantum gates.
The inherent non-adiabaticity of the structures paves the way for unprecedented miniaturization.
- Score: 36.136619420474766
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: One of the most promising nascent technologies, quantum computation faces a
major challenge: The need for stable computational building blocks. We present
the quantum-optical realization of non-adiabatic holonomies that can be used as
single-qubit quantum gates. The hallmark topological protection of non-Abelian
geometric phases reduces the need for quantum error correction on a fundamental
physical level, while the inherent non-adiabaticity of the structures paves the
way for unprecedented miniaturization. To demonstrate their versatility, we
realize the Hadamard and Pauli-X gates, experimentally show their non-Abelian
nature, and combine them into a single-qubit quantum algorithm, the PQ penny
flipover. The planar geometry of such designs enables them to be substituted
for the conventional directional coupler meshes currently in wide-spread use in
photonic quantum architectures across all platforms.
Related papers
- Efficient Quantum Pseudorandomness from Hamiltonian Phase States [41.94295877935867]
We introduce a quantum hardness assumption called the Hamiltonian Phase State (HPS) problem.
We show that our assumption is plausibly fully quantum; meaning, it cannot be used to construct one-way functions.
We show that our assumption and its variants allow us to efficiently construct many pseudorandom quantum primitives.
arXiv Detail & Related papers (2024-10-10T16:10:10Z) - Quantum quench dynamics as a shortcut to adiabaticity [31.114245664719455]
We develop and test a quantum algorithm in which the incorporation of a quench step serves as a remedy to the diverging adiabatic timescale.
Our experiments show that this approach significantly outperforms the adiabatic algorithm.
arXiv Detail & Related papers (2024-05-31T17:07:43Z) - Engineering quantum states from a spatially structured quantum eraser [0.0]
Quantum interference can be enabled by projecting the quantum state onto ambiguous properties that render the photons indistinguishable.
By combining these ideas, here we design and experimentally demonstrate a simple and robust scheme that tailors quantum interference to engineer photonic states.
We believe these spatially-engineered multi-photon quantum states may be of significance in fields such as quantum metrology, microscopy, and communications.
arXiv Detail & Related papers (2023-06-24T00:11:36Z) - Dynamical-Corrected Nonadiabatic Geometric Quantum Computation [9.941657239723108]
We present an effective geometric scheme combined with a general dynamical-corrected technique.
Our scheme represents a promising way to explore large-scale fault-tolerant quantum computation.
arXiv Detail & Related papers (2023-02-08T16:18:09Z) - Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
Indistinguishability of particles is a fundamental principle of quantum mechanics.
braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions.
We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
arXiv Detail & Related papers (2022-10-19T02:28:44Z) - Noncyclic nonadiabatic holonomic quantum gates via shortcuts to
adiabaticity [5.666193021459319]
We propose a fast and robust scheme to construct high-fidelity holonomic quantum gates for universal quantum systems via shortcuts to adiabaticity.
Our scheme is readily realizable in physical system currently pursued for implementation of quantum computation.
arXiv Detail & Related papers (2021-05-28T15:23:24Z) - Nonadiabatic geometric quantum gates that are insensitive to
qubit-frequency drifts [8.750801670077806]
In the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions that induce geometric phases.
Here, we apply the path-design strategy to explain in detail why both configurations can realize universal quantum gates in a single-loop way.
Our scheme provides a promising way towards practical realization of high-fidelity and robust nonadiabatic geometric quantum gates.
arXiv Detail & Related papers (2021-03-16T12:05:45Z) - Experimental implementation of universal holonomic quantum computation
on solid-state spins with optimal control [12.170408456188934]
We experimentally implement nonadiabatic holonomic quantum computation with solid spins in diamond at room-temperature.
Compared with previous geometric methods, the fidelities of a universal set of holonomic single-qubit and two-qubit quantum logic gates are improved.
This work makes an important step towards fault-tolerant scalable geometric quantum computation in realistic systems.
arXiv Detail & Related papers (2021-02-18T09:02:02Z) - Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum
Gates with Two Dark Paths in a Trapped Ion [41.36300605844117]
We show nonadiabatic holonomic single-qubit quantum gates on two dark paths in a trapped $171mathrmYb+$ ion based on four-level systems with resonant drives.
We find that nontrivial holonomic two-qubit quantum gates can also be realized within current experimental technologies.
arXiv Detail & Related papers (2021-01-19T06:57:50Z) - Experimental Realization of Nonadiabatic Holonomic Single-Qubit Quantum
Gates\\ with Optimal Control in a Trapped Ion [38.217839102257365]
We experimentally demonstrate nonadiabatic holonomic single qubit quantum gates with optimal control in a trapped Yb ion.
Compared with corresponding previous geometric gates and conventional dynamic gates, the superiority of our scheme is that it is more robust against control amplitude errors.
arXiv Detail & Related papers (2020-06-08T14:06:06Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.