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Nature期刊图复现 | Python 实现背靠背不对称高密度组合图

  • 2026-06-28 10:37:09
Nature期刊图复现 | Python 实现背靠背不对称高密度组合图

来源论文

论文地址:

https://www.nature.com/articles/s41586-024-08449-y

论文题目:

Quantum error correction below the surface code threshold

原图释(英):c, Decoder latency versus experiment duration. Each blue point corresponds to a latency measurement for a full shot (ten shots per duration; horizontal bar, median; blue shading, violin plot). The yellow histograms represent fine-grained latency measurements of the time between receiving data and completing decoding for each ten-cycle block in a shot. The values from these fine-grained measurements, which we refer to as subshot latencies, tend to be slightly larger than those from full-shot latency measurements as the decoder may need to wait to fuse with detection events in future cycles. Infrequently, we see brief subshot latency spikes above 1 ms (Supplementary Information). 

原图释(中):图 c:解码器延迟随实验时长的变化。每个蓝色数据点代表单次完整采样的延迟测量值(每个时长对应十组采样;水平横线为中位数,蓝色阴影为小提琴图)。黄色直方图展示了精细化延迟数据:即采样中每十个周期的数据块,从接收数据到完成解码的耗时。这类精细化测量得到的延迟被称作子采样延迟,其数值通常略高于完整采样延迟 —— 原因是解码器可能需要等待后续周期的检测事件完成融合。少数情况下,子采样延迟会短暂飙升至 1 毫秒以上(详见补充材料)。

复现图片

1. 左侧:半边小提琴图 + 概率密度阴影(Shot Latency):左侧蓝色的平滑曲线阴影是通过核密度估计计算得出的,它主要用于反映 Shot Latency 在统计学上的宏观分布趋势。阴影的横向宽度代表数据在特定延迟区间内出现的概率,越宽的地方意味着数据越集中,这能看出系统延迟的整体波动范围,有效过滤掉次要的噪声干扰。

2. 左轴线上:精准散点 + 中位数横线(Shot Latency 原始点):在垂直中心轴线上精准分布的 10 个圆点代表了真实的原始测量样本,而加粗的水平横线则代表了该组数据的中位数。这种设计极大地增强了科研数据的透明度与真实性,证明实验没有任何刻意的伪造或过度平滑,同时也非常便于跨越不同的循环周期,快速定量对比系统核心延迟的均值演变趋势。

3. 右侧:高密度精细直方图(Subshot Latency):右侧橙黄色的密集阶梯状横向条形图是基于 70 个分箱绘制的真实数据频数直方图,专门用来捕捉 Subshot Latency 的微观高频分布特征。由于它不经过任何平滑拟合,因此对数据的局部跳跃极为敏感,能够完美地暴露出数据中可能存在的双峰现象、断层或零星的极端异常延迟,这对于评估硬件系统的微抖动和极限稳定性至关重要。

配色方案

COLOR_PALETTES = {    1:  {"shot""#1E77F4""subshot""#F2A900"},  # Nature 风格标准科技蓝与高对比橙黄    2:  {"shot""#2B5C8F""subshot""#D95F02"},  # Science 常用经典深海蓝与明快朱红    3:  {"shot""#0072B2""subshot""#E69F00"},  # Cell 推荐色盲友好型高对比度深蓝与金黄    4:  {"shot""#00A087""subshot""#3C5488"},  # Lancet 柳叶刀经典薄荷绿与深邃海军蓝    5:  {"shot""#4DBBD5""subshot""#E64B35"},  # JAMA 美国医学会杂志现代天蓝与珊瑚红    6:  {"shot""#1170AA""subshot""#FC7D0B"},  # IEEE 电子学报标准科技深蓝与动感纯橙    7:  {"shot""#3F51B5""subshot""#FF5722"},  # Advanced Materials 先进材料高纯度靛蓝与亮橙    8:  {"shot""#1F77B4""subshot""#FF7F0E"},  # Matplotlib 经典标准学术蓝与活力橙    9:  {"shot""#4A6B82""subshot""#C87A53"},  # ACS 美国化学会常用低饱和度灰蓝与泥土赭    10: {"shot""#3C4E5A""subshot""#E28743"},  # Royal Society 皇家学会工业质感冷灰蓝与暖铜    11: {"shot""#2F4F4F""subshot""#D2691E"},  # Earth Science 地学期刊岩石深墨绿与质感巧克力棕    12: {"shot""#4682B4""subshot""#F4A460"},  # Geophysical 研究简报渐变柔和钢蓝与沙滩浅黄    13: {"shot""#008080""subshot""#CD853F"},  # Nature Climate Change 环保系青翠绿与沙漠金褐    14: {"shot""#7B1FA2""subshot""#FFA000"},  # PRL 物理评论快报高能物理紫与高亮量子黄    15: {"shot""#5C3D75""subshot""#E0B034"},  # Astronomy & Astrophysics 天体物理深邃星空紫与恒星金    16: {"shot""#6A3D9A""subshot""#FF7F00"},  # BioMed Central 生物医学常用高纯紫与橙    17: {"shot""#08519C""subshot""#A50F15"},  # PNAS 经典对比双色高饱和深蓝与高饱和深红    18: {"shot""#238B45""subshot""#D94801"},  # Ecosystems 生态学植被深绿与土壤深橙    19: {"shot""#54278F""subshot""#2171B5"},  # Grid Computing 分布式计算冷色调深紫与数字晶莹蓝    20: {"shot""#2C3E50""subshot""#E74C3C"}   # Wiley 材料学常用工业风石墨黑与醒目鲜红}

完整代码(模拟数据)

import osimport matplotlib.pyplot as pltimport numpy as npimport pandas as pdfrom scipy.stats import gaussian_kdefrom matplotlib.patches import Patch# 1. 自动创建图表文件夹output_dir = "图表"if not os.path.exists(output_dir):    os.makedirs(output_dir)# 2. 从 Excel 中读取数据if not os.path.exists("data.xlsx"):    raise FileNotFoundError("未找到 data.xlsx 文件,请先运行数据生成脚本。")df_shot = pd.read_excel("data.xlsx", sheet_name="Shot_Latency")df_subshot = pd.read_excel("data.xlsx", sheet_name="Subshot_Latency")# 获取所有的循环周期cycles = sorted(df_shot["Cycles"].unique())# 3. 符合主流期刊标准的专业科研配色方案COLOR_PALETTES = {    1:  {"shot""#1E77F4""subshot""#F2A900"},  # Nature 风格标准科技蓝与高对比橙黄}# 选择方案 1 作为绘图颜色selected_palette = COLOR_PALETTES[1]color_shot = selected_palette["shot"]color_subshot = selected_palette["subshot"]# 4. 初始化画布fig, ax = plt.subplots(figsize=(104.5), dpi=300)# 5. 核心绘图逻辑for x_idx, cycle in enumerate(cycles):    shot_vals = df_shot[df_shot["Cycles"] == cycle]["Latency"].values    subshot_vals = df_subshot[df_subshot["Cycles"] == cycle]["Latency"].values    x_pos = x_idx    # --- 左侧:Shot Latency (半边小提琴) ---    if len(shot_vals) > 0:        shot_pts = shot_vals[:10]        log_shot_pts = np.log10(shot_pts)        kde = gaussian_kde(log_shot_pts)        y_log_range = np.linspace(np.log10(20), np.log10(350), 300)        kde_vals = kde(y_log_range)        kde_vals = (kde_vals / kde_vals.max()) * 0.24        y_range = 10 ** y_log_range        mask = (y_range >= shot_pts.min() * 0.85) & (y_range <= shot_pts.max() * 1.15)        ax.fill_betweenx(y_range[mask], x_pos - kde_vals[mask], x_pos, color=color_shot, alpha=0.2, lw=0)        ax.plot([x_pos, x_pos], [shot_pts.min(), shot_pts.max()], color=color_shot, lw=1.2, zorder=2)        median_shot = np.median(shot_pts)        ax.plot([x_pos - 0.12, x_pos + 0.12], [median_shot, median_shot], color=color_shot, lw=2.5, zorder=4)        ax.scatter([x_pos] * len(shot_pts), shot_pts, color=color_shot, s=18, alpha=0.9, zorder=3, edgecolors='none')    # --- 右侧:Subshot Latency (高密度精细直方图) ---    if len(subshot_vals) > 0:        log_subshot = np.log10(subshot_vals)        counts, log_bins = np.histogram(log_subshot, bins=70range=(np.log10(25), np.log10(250)))        bins = 10 ** log_bins        counts = (counts / counts.max()) * 0.42        for j in range(len(counts)):            if counts[j] > 0:                ax.fill_betweenx([bins[j], bins[j + 1]], x_pos, x_pos + counts[j],                                 color=color_subshot, alpha=0.9, edgecolor=None, lw=0)                ax.plot([x_pos + counts[j], x_pos + counts[j]], [bins[j], bins[j + 1]], color=color_subshot, lw=0.6)                if j < len(counts) - 1 and counts[j + 1] > 0:                    ax.plot([x_pos + counts[j], x_pos + counts[j + 1]], [bins[j + 1], bins[j + 1]], color=color_subshot, lw=0.6)# 6. 坐标轴与图表美化ax.set_yscale('log')ax.set_ylim(20300)ax.set_yticks([30100300])ax.set_yticklabels(['30''100''300'])ax.get_yaxis().set_major_formatter(plt.ScalarFormatter())ax.set_ylabel(r'Latency ($\mu$s)', fontsize=13)target_indices = [idx for idx, c in enumerate(cycles) if np.log10(c).is_integer()]target_labels = [f"$10^{int(np.log10(cycles[idx]))}$" for idx in target_indices]ax.set_xticks(target_indices)ax.set_xticklabels(target_labels, fontsize=12)ax.set_xlabel('Number of cycles', fontsize=13)ax.spines['top'].set_visible(False)ax.spines['right'].set_visible(False)ax.spines['left'].set_linewidth(0.8)ax.spines['bottom'].set_linewidth(0.8)ax.tick_params(direction='out', length=6, width=0.8)legend_elements = [    Patch(facecolor=color_shot, label='Shot latency'),    Patch(facecolor=color_subshot, label='Subshot latency')]ax.legend(handles=legend_elements, loc='upper right', frameon=False, ncol=2, fontsize=11, handlelength=1, handleheight=1)ax.text(-0.061.02'c', transform=ax.transAxes, fontsize=16, fontweight='bold', va='top', ha='right')plt.tight_layout()# 7. 保存高清图表output_path = os.path.join(output_dir, "latency_chart.png")plt.savefig(output_path, bbox_inches='tight')plt.close()print(f"绘制完成,应用配色方案: {output_path}")

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  1. CONNECT:[ UseTime:0.001054s ] mysql:host=127.0.0.1;port=3306;dbname=f_mffb;charset=utf8mb4
  2. SHOW FULL COLUMNS FROM `fenlei` [ RunTime:0.001591s ]
  3. SELECT * FROM `fenlei` WHERE `fid` = 0 [ RunTime:0.094586s ]
  4. SELECT * FROM `fenlei` WHERE `fid` = 63 [ RunTime:0.010506s ]
  5. SHOW FULL COLUMNS FROM `set` [ RunTime:0.001707s ]
  6. SELECT * FROM `set` [ RunTime:0.013593s ]
  7. SHOW FULL COLUMNS FROM `article` [ RunTime:0.001574s ]
  8. SELECT * FROM `article` WHERE `id` = 499609 LIMIT 1 [ RunTime:0.017088s ]
  9. UPDATE `article` SET `lasttime` = 1783011315 WHERE `id` = 499609 [ RunTime:0.046956s ]
  10. SELECT * FROM `fenlei` WHERE `id` = 66 LIMIT 1 [ RunTime:0.000458s ]
  11. SELECT * FROM `article` WHERE `id` < 499609 ORDER BY `id` DESC LIMIT 1 [ RunTime:0.026298s ]
  12. SELECT * FROM `article` WHERE `id` > 499609 ORDER BY `id` ASC LIMIT 1 [ RunTime:0.050424s ]
  13. SELECT * FROM `article` WHERE `id` < 499609 ORDER BY `id` DESC LIMIT 10 [ RunTime:0.129037s ]
  14. SELECT * FROM `article` WHERE `id` < 499609 ORDER BY `id` DESC LIMIT 10,10 [ RunTime:0.036862s ]
  15. SELECT * FROM `article` WHERE `id` < 499609 ORDER BY `id` DESC LIMIT 20,10 [ RunTime:0.073099s ]
0.582105s