Decoherence and dephasing errors caused by D.C. Stark effect in rapid ion transport

Abstract

We investigate the error due to D.C. Stark effect for quantum information processing for trapped ion quantum computers using the scalable architecture proposed in J. Res. Natl. Inst. Stan. 103, 259 (1998) and Nature 417, 709 (2002). As the operation speed increases, dephasing and decoherence due to the D.C. Stark effect becomes prominent as a large electric field is applied for transporting ions rapidly. We estimate the relative significance of the decoherence and dephasing effects and find that the latter is dominant. We find that the minimum possible of dephasing is quadratic in the time of flight, and an inverse cubic in the operational time scale. From these relations, we obtain the operational speed-range at which the shifts caused by D.C. Stark effect, no matter follow which trajectory the ion is transported, are no longer negligible. Without phase correction, the maximum speed a qubit can be transferred across a 100 micron-long trap, without excessive error, in about 10 ns for Calcium ion and 50 ps for Beryllium ion. In practice, the accumulated error is difficult to be tracked and calculated, our work gives an estimation to the range of speed limit imposed by D.C. Stark effect.

7 pages, 1 figure. v2: Title is changed in this version to make our argument more focused. Introduction is rewritten. A new section IV is added to make our point more prominent. v3: Title is changed to make our argument more specific. Abstract, introduction, and summary are revised

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• The Impact of Hardware Specifications on Reaching Quantum Advantage in the Fault Tolerant Regime
• Motional squeezing for trapped ion transport and separation
• Smooth bang-bang shortcuts to adiabaticity for atomic transport in a moving harmonic trap
• Fast and robust particle shuttling for quantum science and technology
• Rapid laser-free ion cooling by controlled collision
• Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in 2D optical lattices
• Fast transport of Bose-Einstein condensates in anharmonic traps
• Fast Ground State to Ground State Separation of Small Ion Crystals
• Closed-loop optimization of fast trapped-ion shuttling with sub-quanta excitation