dorsal/arxiv
View SchemaTowards Lagrangian approach to quantum computations (revised)
| Authors | Alexander Yu. Vlasov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308017 |
| URL | https://arxiv.org/abs/quant-ph/0308017 |
Abstract
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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"abstract": "In this work is discussed possibility and actuality of Lagrangian approach to\nquantum computations. Finite-dimensional Hilbert spaces used in this area\nprovide some challenge for such consideration. The model discussed here can be\nconsidered as an analogue of Weyl quantization of field theory via path\nintegral in L. D. Faddeev\u0027s approach. Weyl quantization is possible to use also\nin finite-dimensional case, and some formulas may be simply rewritten with\nchange of integrals to finite sums. On the other hand, there are specific\ndifficulties relevant to finite case.",
"arxiv_id": "quant-ph/0308017",
"authors": [
"Alexander Yu. Vlasov"
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"quant-ph",
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"title": "Towards Lagrangian approach to quantum computations (revised)",
"url": "https://arxiv.org/abs/quant-ph/0308017"
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