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Shortcut-to-Adiabatic Controlled-Phase Gate in Rydberg Atoms
Authors:Luis S. Yagüe Bosch  Tim Ehret  Francesco Petiziol  Ennio Arimondo  Sandro Wimberger
Affiliation:1. Institute of Theoretical Physics, Heidelberg University, Philosophenweg 12, 69120 Heidelberg, Germany;2. Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany;3. Dipartimento di Fisica, Università di Pisa, Largo Pontecorvo 3, Pisa, 56127 Italy

Istituto Nazionale di Ottica, Consiglio Nazionale delle Ricerche, Universitá di Pisa, Largo Pontecorvo 3, Pisa, 56127 Italy;4. Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, Parco Area delle Scienze 7/A, Parma, 43124 Italy

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.
Keywords:quantum control  quantum optics  Rydberg atoms  superadiabatic methods
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