Towards Lagrangian approach to quantum computations (revised)

Details Towards Lagrangian approach to quantum computations (revised) Towards Lagrangian approach to quantum computations (revised)

2003-08-04

arxiv.org/abs/quant-ph/0308017v4

Physics

Quantum Physics

LaTeX 9 pages; v2, v3: minor corrections; v4: more significant revision

Scientific paper

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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