Generalized Conditional Displacement
Shiran Even-Haim, Asaf A. Diringer, Ron Ruimy, Gefen Baranes, Alexey Gorlach, Shay Hacohen-Gourgy, Ido Kaminer

TL;DR
This paper introduces a generalized conditional displacement operator conditioned on a qudit ancilla, which can improve error correction protocols for GKP codes in continuous-variable quantum computing.
Contribution
It presents the theoretical formulation of the generalized conditional displacement operator and discusses potential implementations to enhance GKP code error correction.
Findings
Operator can be conditioned on a qudit ancilla
Potential for improved GKP error correction
Framework for implementation in quantum systems
Abstract
Conditional displacement with a qubit ancilla is a critical component in continuous-variable error correction protocols. We present the generalized conditional displacement operator, conditioned on a qudit ancilla, and explore potential implementations. We show how this operator can be used to enhance error correction with Gottesman-Kitaev-Preskill (GKP) codes.
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Taxonomy
TopicsStructural Behavior of Reinforced Concrete
