量子计算的拉格朗日方法(修订版)
Towards Lagrangian approach to quantum computations (revised)
摘要:
本文讨论了拉格朗日方法用于量子计算的可能性和现状。在这一领域中使用的高维希尔伯特空间为这种考虑提供了一些挑战。这里讨论的模型可以看作是场论中通过L中的路径积分进行Weyl量子化的一个模拟。D. Faddeev的方法。外尔量子化也可以用于有限维的情况下,一些公式可以简单地重写与积分的有限和的变化。另一方面,有限情形也有特殊的困难。
英文摘要:
In this work is discussed possibility and actuality of Lagrangian approach to quantum computations. Finite-dimensional Hilbert spaces used in this area provide some challenge for such consideration. The model discussed here can be considered as an analogue of Weyl quantization of field theory via path integral in L. D. Faddeev's approach. Weyl quantization is possible to use also in finite-dimensional case, and some formulas may be simply rewritten with change of integrals to finite sums. On the other hand, there are specific difficulties relevant to finite case.
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