151. Fast non-Abelian geometric gates via transitionless quantum driving
- Author
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Leong Chuan Kwek, Thi Ha Kyaw, Dianmin Tong, Erik Sjöqvist, Jiang Zhang, and Institute of Advanced Studies
- Subjects
Theoretical computer science ,Quantum Turing machine ,Other Physics Topics ,Computer science ,Atom and Molecular Physics and Optics ,superconducting qubit ,FOS: Physical sciences ,Quantum simulator ,Quantum capacity ,Quantum imaging ,Topology ,01 natural sciences ,Article ,010305 fluids & plasmas ,Open quantum system ,Quantum circuit ,Quantum gate ,Quantum error correction ,0103 physical sciences ,Quantum computation ,Quantum operation ,Abelian group ,Quantum information ,010306 general physics ,Adiabatic process ,Quantum ,Quantum computer ,Superconductivity ,Quantum network ,Quantum discord ,Quantum Physics ,Multidisciplinary ,Quantum sensor ,Annan fysik ,One-way quantum computer ,Condensed Matter Physics ,Quantum technology ,geometric phase ,Quantum process ,Qubit ,ComputerSystemsOrganization_MISCELLANEOUS ,Quantum Fourier transform ,Quantum algorithm ,Atom- och molekylfysik och optik ,Quantum Physics (quant-ph) ,Quantum dissipation ,Den kondenserade materiens fysik ,Coherence (physics) - Abstract
A practical quantum computer must be capable of performing high fidelity quantum gates on a set of quantum bits (qubits). In the presence of noise, the realization of such gates poses daunting challenges. Geometric phases, which possess intrinsic noise-tolerant features, hold the promise for performing robust quantum computation. In particular, quantum holonomies, i.e., non-Abelian geometric phases, naturally lead to universal quantum computation due to their non-commutativity. Although quantum gates based on adiabatic holonomies have already been proposed, the slow evolution eventually compromises qubit coherence and computational power. Here, we propose a general approach to speed up an implementation of adiabatic holonomic gates by using transitionless driving techniques and show how such a universal set of fast geometric quantum gates in a superconducting circuit architecture can be obtained in an all-geometric approach. Compared with standard non-adiabatic holonomic quantum computation, the holonomies obtained in our approach tends asymptotically to those of the adiabatic approach in the long run-time limit and thus might open up a new horizon for realizing a practical quantum computer., 7 pages, 2 figures
- Published
- 2015