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Holonomic Quantum Control with Continuous Variable Systems

Victor V. Albert 1 Chi Shu 1 Stefan Krastanov 1 Chao Shen 1 Ren-Bao Liu 2 Zhen-Biao Yang 1 Robert J. Schoelkopf 1 Mazyar Mirrahimi 3 Michel H. Devoret 1 Liang Jiang 1
3 QUANTIC - QUANTum Information Circuits
ENS Paris - École normale supérieure - Paris, UPMC - Université Pierre et Marie Curie - Paris 6, MINES ParisTech - École nationale supérieure des mines de Paris, Inria de Paris
Abstract : Universal quantum computation on a space consisting of superpositions of d well-separated coherent states can be achieved by two families of adiabatic holonomic gates. The first gate consists of moving a coherent state around a closed path in phase space, resulting in a relative Berry phase between that state and the other states. The second gate consists of colliding two coherent states, resulting in coherent population transfer between them. Such gates should be realizable via reservoir engineering of systems which support tunable nonlinearities, such as trapped ions and circuit QED.
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https://hal.inria.fr/hal-01240208
Contributor : Mazyar Mirrahimi <>
Submitted on : Tuesday, December 8, 2015 - 6:07:45 PM
Last modification on : Thursday, September 24, 2020 - 4:46:02 PM

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  • HAL Id : hal-01240208, version 1
  • ARXIV : 1503.00194

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Victor V. Albert, Chi Shu, Stefan Krastanov, Chao Shen, Ren-Bao Liu, et al.. Holonomic Quantum Control with Continuous Variable Systems. Physical Review Letters, American Physical Society, 2016, 116 (14). ⟨hal-01240208⟩

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