Doubly geometric quantum control

• URL: http://arxiv.org/abs/2103.08029v2
• Date: Tue, 20 Jul 2021 17:46:13 GMT
• Title: Doubly geometric quantum control
• Authors: Wenzheng Dong, Fei Zhuang, Sophia E. Economou, Edwin Barnes
• Abstract summary: In holonomic quantum computation, single-qubit gates are performed using driving protocols that trace out closed loops on the Bloch sphere. We present a general procedure that combines two types of geometry to design gates that simultaneously suppress pulse errors and transverse noise errors.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In holonomic quantum computation, single-qubit gates are performed using driving protocols that trace out closed loops on the Bloch sphere, making them robust to certain pulse errors. However, dephasing noise that is transverse to the drive, which is significant in many qubit platforms, lies outside the family of correctable errors. Here, we present a general procedure that combines two types of geometry -- holonomy loops on the Bloch sphere and geometric space curves in three dimensions -- to design gates that simultaneously suppress pulse errors and transverse noise errors. We demonstrate this doubly geometric control technique by designing explicit examples of such dynamically corrected holonomic gates.

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