Experimental realization of universal geometric quantum gates with solid-state spins
By C. Zu, Wenhe Wang, L. He, Wenhao Zhang, Chengyu Dai, Feida Wang, Luming Duan. Nature, 2014
344 citations recorded by the source corpus.
Experimental realization of a universal set of quantum logic gates is the central requirement for the implementation of a quantum computer. In an ‘all-geometric’ approach to quantum computation, the quantum gates are implemented using Berry phases and their non-Abelian extensions, holonomies, from geometric transformation of quantum states in the Hilbert space. Apart from its fundamental interest and rich mathematical structure, the geometric approach has some built-in noise-resilience features. On the experimental side, geometric phases and holonomies have been observed in thermal ensembles of liquid molecules using nuclear magnetic resonance; however, such systems are known to be non-scalable for the purposes of quantum computing. There are proposals to implement geometric quantum computation in scalable experimental platforms such as trapped ions, superconducting quantum bits and quantum dots, and a recent experiment has realized geometric single-bit gates in a superconducting system. Here we report the experimental realization of a universal set of geometric quantum gates using the solid-state spins of diamond nitrogen–vacancy centres. These diamond defects provide a scalable experimental platform with the potential for room-temperature quantum computing, which has attracted strong interest in recent years. Our experiment shows that all-geometric and potentially robust quantum computation can be realized with solid-state spin quantum bits, making use of recent advances in the coherent control of this system.
Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry, Organic Chemistry
View Paper: https://www.semanticscholar.org/paper/826b6ef09d19f7abd803ffb3353e794e83f65dc1
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In Atomic and Molecular Physics, and Optics
In Materials Chemistry
Citations in the corpus
- Optical holonomic single quantum gates with a geometric spin under a zero field (2017, unknown): “},𝜎 � {�2,�})，𝜎 0,�,�,� {�2,�} are the Pauli operators and identity operator based on |�2⟩ and |�⟩. 18 The time evolution operator is now written as (𝑈Λ𝑡)=exp(−𝑖 𝛺eff𝑡 2 𝒏∙𝝈{�2,�})exp(𝑖𝛥𝑡 2 )+|�⟩⟨�|. (16) The evolution operator for a round trip 𝑡2𝜋= 2𝜋 𝛺eff in the |�2⟩−|�⟩ Bloch sphe”
- Non-Abelian braiding on photonic chips (2021, background): “Although non-Abelian braiding has been dominantly investigated in condensed matter systems [7–12], its underlying mechanism can be related to the multi-mode geometric-phase effect in classical systems [13, 14], indicating its universality and compatibility with photonics.”