Ralph Timothy C, Winnel Matthew S, Swain S Nibedita, Marshman Ryan J
Centre for Quantum Computation and Communication Technology, School of Mathematics and Physics, University of Queensland, Brisbane, QLD 4072, Australia.
School of Mathematical and Physical Sciences, University of Technology Sydney, Ultimo, NSW 2007, Australia.
Entropy (Basel). 2024 Oct 18;26(10):874. doi: 10.3390/e26100874.
The choice between the Schrödinger and Heisenberg pictures can significantly impact the computational resources needed to solve a problem, even though they are equivalent formulations of quantum mechanics. Here, we present a method for analysing Bosonic quantum circuits based on the Heisenberg picture which allows, under certain conditions, a useful factoring of the evolution into signal and noise contributions, similar way to what can be achieved with classical communication systems. We provide examples which suggest that this approach may be particularly useful in analysing quantum computing systems based on the Gottesman-Kitaev-Preskill (GKP) qubits.
尽管薛定谔绘景和海森堡绘景是量子力学的等价表述，但在它们之间进行选择会显著影响解决一个问题所需的计算资源。在此，我们提出一种基于海森堡绘景分析玻色子量子电路的方法，在某些条件下，该方法能将演化有效地分解为信号贡献和噪声贡献，类似于经典通信系统所能实现的方式。我们给出的例子表明，这种方法在分析基于戈特斯曼 - 基塔耶夫 - 普雷斯基尔（GKP）量子比特的量子计算系统时可能特别有用。
