目标Clifford逻辑门超图产品代码

IF 5.1 2区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY

Quantum Pub Date : 2025-08-29 DOI:10.22331/q-2025-08-29-1842

Adway Patra, Alexander Barg

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引用次数: 0

摘要

从设计CSS代码的逻辑Clifford电路的显式框架开始，我们构造了超图积码的逻辑门。我们首先推导出CNOT、CZ、Phase和Hadamard算子的辛矩阵，它们共同生成Clifford群。这使我们能够设计显式转换，从而为这个家族中的任意代码生成目标逻辑门。作为一个具体的例子，我们给出$[[18,2,3]]$ toric代码的逻辑电路。

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Targeted Clifford logical gates for hypergraph product codes

Starting with an explicit framework for designing logical Clifford circuits for CSS codes, we construct logical gates for Hypergraph Product Codes. We first derive symplectic matrices for CNOT, CZ, Phase, and Hadamard operators, which together generate the Clifford group. This enables us to design explicit transformations that result in targeted logical gates for arbitrary codes in this family. As a concrete example, we give logical circuits for the $[[18,2,3]]$ toric code.

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来源期刊

Quantum Physics and Astronomy-Physics and Astronomy (miscellaneous)

CiteScore

9.20

自引率

10.90%

发文量

241

审稿时长

16 weeks

期刊介绍： Quantum is an open-access peer-reviewed journal for quantum science and related fields. Quantum is non-profit and community-run: an effort by researchers and for researchers to make science more open and publishing more transparent and efficient.