Time Optimal Qubit Computer
| Autor: | Morrison, Peter |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We present a number of new physical systems that may be addressed using methods of time dependent transformation. A recap of results available for two-state systems is given, with particular emphasis on the AC stark effect. We give some results that are not well known, including the full solution for a two state system in a static electric field with arbitrary direction. Connection with established theorems in time optimal quantum control is given, and a full discussion outlines some advanced results in matrix calculus. In particular, we derive a set of matrix gates relevant to quantum information theory and computation using time optimal unitary operators, and define the hyperbolic equivalent of the quantum brachistochrone problem. Comment: 11 pages |
| Databáze: | arXiv |
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