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Single-loop multiple-pulse nonadiabatic holonomic quantum gates
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Materials Theory.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy. Uppsala universitet. (Quantum information theory)
2016 (English)Article in journal (Other academic) Submitted
Abstract [en]

Nonadiabatic holonomic quantum computation provides means to perform fast and robust quantum gates by utilizing the resilience of non-Abelian geometric phases to fluctuations of the path in state space. While the original scheme [New J. Phys. 14, 103035 (2012)] needs two loops in the Grassmann manifold (i.e., the space of computational subspaces of the full state space) to generate an arbitrary holonomic one-qubit gate, we propose single-loop one-qubit gates that constitute an efficient universal set of holonomic gates when combined with an entangling holonomic two-qubit gate. Our one-qubit gate is realized by dividing the loop into path segments, each of which generated by a Λ-type Hamiltonian. We demonstrate that two path segments is sufficient to realize arbitrary single-loop holonomic one-qubit gates. We describe how our scheme can be implemented experimentally in a generic atomic system exhibiting a three-level Λ-coupling structure, by utilizing carefully chosen laser pulses. 

Place, publisher, year, edition, pages
2016.
Keyword [en]
Quantum computation, quantum gates, geometric phase
National Category
Other Physics Topics Atom and Molecular Physics and Optics
Research subject
Physics with spec. in Atomic, Molecular and Condensed Matter Physics
Identifiers
URN: urn:nbn:se:uu:diva-301984OAI: oai:DiVA.org:uu-301984DiVA: diva2:955848
Funder
Swedish Research Council, D0413201
Available from: 2016-08-26 Created: 2016-08-26 Last updated: 2016-09-07

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arxiv:1608.07418

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Sjöqvist, Erik
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Materials TheoryDepartment of Physics and Astronomy
Other Physics TopicsAtom and Molecular Physics and Optics

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ReferencesLink to record
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