Efficient feedback controllers for continuous-time quantum error correction
Efficient feedback controllers for continuous-time quantum error correction
复制标题
用于连续时间量子纠错的高效反馈控制器
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
J. Geremia
中科院分区：
文献类型：
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作者：
B. Chase;A. Landahl;J. Geremia
我们提出了一种有效的方法，连续时间量子纠错，扩展了低维量子滤波方法开发的货车韩德尔和马渊[quant-ph/0511221（2005）]，包括错误恢复操作的形式，实时量子反馈。我们希望这种模式是有用的系统中，错误恢复操作不能立即应用。虽然我们无法找到一个精确的低维滤波器，结合连续的综合征测量和反馈哈密顿适合错误恢复，我们开发了一个近似的降维模型来做到这一点。对对称去极化信道下的五量子比特码的模拟表明，基于我们的近似滤波器的纠错与基于精确量子动力学模型的纠错基本相同。
We present an efficient approach to continuous-time quantum error correction that extends the low-dimensional quantum filtering methodology developed by van Handel and Mabuchi [quant-ph/0511221 (2005)] to include error recovery operations in the form of real-time quantum feedback. We expect this paradigm to be useful for systems in which error recovery operations cannot be applied instantaneously. While we could not find an exact low-dimensional filter that combined both continuous syndrome measurement and a feedback Hamiltonian appropriate for error recovery, we developed an approximate reduced-dimensional model to do so. Simulations of the five-qubit code subjected to the symmetric depolarizing channel suggests that error correction based on our approximate filter performs essentially identically to correction based on an exact quantum dynamical model.