Related papers: Optimizing Pulse Shapes of an Echoed Conditional Displacement Gate in a Superconducting Bosonic System

Optimizing Pulse Shapes of an Echoed Conditional Displacement Gate in a Superconducting Bosonic System

URL: http://arxiv.org/abs/2408.05299v1
Date: Fri, 9 Aug 2024 18:49:09 GMT
Title: Optimizing Pulse Shapes of an Echoed Conditional Displacement Gate in a Superconducting Bosonic System
Authors: Maxime Lapointe-Major, Yongchao Tang, Mehmet Canturk, Pooya Ronagh,
Abstract summary: We show that there is a lower bound for the gate time in the standard construction of an ECD gate. We present a method for optimizing the pulse shape of an ECD gate using a pulse-shaping technique subject to a set of experimental constraints. We demonstrate that the total gate time of an ECD gate for a small value of $beta$ can be reduced either by relaxing the no-overlap constraint on the primitives used in the standard construction or via our optimal-control method.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Echoed conditional displacement (ECD) gates for bosonic systems have become the key element for real-time quantum error correction beyond the break-even point. These gates are characterized by a single complex parameter $\beta$, and can be constructed using Gaussian pulses and free evolutions with the help of an ancillary transmon qubit. We show that there is a lower bound for the gate time in the standard construction of an ECD gate. We present a method for optimizing the pulse shape of an ECD gate using a pulse-shaping technique subject to a set of experimental constraints. Our optimized pulse shapes remain symmetric, and can be applied to a range of target values of $\beta$ by tuning only the amplitude. We demonstrate that the total gate time of an ECD gate for a small value of $\beta$ can be reduced either by relaxing the no-overlap constraint on the primitives used in the standard construction or via our optimal-control method. We show a slight advantage of the optimal-control method by demonstrating a reduction in the preparation time of a $|+Z_\mathrm{GKP}>$ logical state by $\thicksim$$10\%$.

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