逻辑操作与容错协议logical
Gauge fixing 逻辑协议
通过改变所测 gauge 生成元并投影到选定 gauge，把同一 subsystem code 的不同编码表示用于暴露逻辑门或转换相关码。
- 成熟度
- 成熟方法
- 重要度
- 核心主题
- 证据
- 3 篇代表来源
01
范围与辨析
需给出 gauge group、固定前后 stabilizer、随机测量符号的 Pauli-frame 处理与容错条件；普通 decoder gauge choice 不等同于逻辑 gauge fixing。
02
核心机制与研究判断
核心机制
- measured gauge generators
- stabilizer projection
- logical gate exposure
- Pauli-frame reconciliation
适用与评测约束
- Code Family
- must be declared
- Fault Model
- fault set and propagation must be declared
- Logical Gate Set
- must be declared
- Overhead Metrics
- space time and acceptance must be declared
- Ancilla Resources
- must be declared
- Measurement Feedback
- must be declared
03
全栈位置与直接关系
logical/protocol/gauge-fixing04
代表证据
定义2015
Gauge color codes: optimal transversal gates and gauge fixing in topological stabilizer codesHéctor BombínBenchmark2021
Subsystem Codes with High Thresholds by Gauge Fixing and Reduced Qubit OverheadOscar Higgott and Nikolas P. Breuckmann来源2014
Fault-Tolerant Conversion between the Steane and Reed-Muller Quantum CodesJonas T. Anderson, Guillaume Duclos-Cianci and David Poulin