Shortcut-to-Adiabatic Controlled-Phase Gate in Rydberg Atoms

Year: 2023

Authors: Bosch LSY., Ehret T., Petiziol F., Arimondo E., Wimberger S.

Autors Affiliation: Heidelberg Univ, Inst Theoret Phys, Philosophenweg 12, D-69120 Heidelberg, Germany; Tech Univ Berlin, Inst Theoret Phys, Hardenbergstr 36, D-10623 Berlin, Germany; Univ Pisa, Dipartimento Fis, Largo Pontecorvo 3, I-56127 Pisa, Italy; Univ Pisa, Ist Nazionale Ott, Consiglio Nazionale Ric, Largo Pontecorvo 3, I-56127 Pisa, Italy; Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parco Area Sci 7-A, I-43124 Parma, Italy; INFN, Sez Milano Bicocca, Grp Collegato Parma, Parco Area Sci 7-A, I-43124 Parma, Italy; Univ Vienna, Fac Phys, Boltzmanngasse 5, A-1090 Vienna, Austria.

Abstract: A shortcut-to-adiabatic protocol for the realization of a fast and high-fidelity controlled-phase gate in Rydberg atoms is developed. The adiabatic state transfer, driven in the high-blockade limit, is sped up by compensating nonadiabatic transitions via oscillating fields that mimic a counterdiabatic Hamiltonian. High fidelities are obtained in wide parameter regions. The implementation of the bare effective counterdiabatic field, without original adiabatic pulses, enables to bypass gate errors produced by the accumulation of blockade-dependent dynamical phases, making the protocol efficient also at low blockade values. As an application toward quantum algorithms, how the fidelity of the gate impacts the efficiency of a minimal quantum-error correction circuit is analyzed. Quantum gates are the backbone of digital quantum computing. A shortcut-to-adiabatic protocol is presented for the realization of controlled-phase gate in Rydberg atoms. The adiabatic state transfer for the gate is accelerated by compensating nonadiabatic transitions via oscillating fields. High fidelities and fast operation times are obtained, and an application to a minimal quantum-error correction circuit is analyzed. image

Journal/Review: ANNALEN DER PHYSIK

Volume: 535 (12)      Pages from:   to:

More Information: S.W. acknowledges funding by the National Recovery and Resilience Plan (NRRP), Mission 4 Component 2 Investment 1.3 – Call for tender No. 341 of 15/03/2022 of Italian Ministry of University and Research funded by the European Union-NextGenerationEU, Project number PE0000023, Concession Decree No. 1564 of 11/10/2022 ad opted by the Italian Ministry of University and Research, CUP D93C22000940001, Project title National Quantum Science and Technology Institute (NQSTI).
KeyWords: quantum control; quantum optics; Rydberg atoms; superadiabatic methods
DOI: 10.1002/andp.202300275

Citations: 2
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