Crypto-unitary quantum evolution operators

Details Crypto-unitary quantum evolution operators Crypto-unitary quantum evolution operators

2012-04-26

arxiv.org/abs/1204.5989v1

Physics

Quantum Physics

12 pp., part of material prepared for PHHQP XI int. conference "Non-Hermitian Operators in Quantum Physics" (http://phhqp11.

Scientific paper

For the description of quantum evolution, the use of a manifestly time-dependent quantum Hamiltonian $\mathfrak{h}(t) =\mathfrak{h}^\dagger(t)$ is shown equivalent to the work with its simplified, time-independent alternative $G\neq G^\dagger$. A tradeoff analysis is performed recommending the latter option. The physical unitarity requirement is shown fulfilled in a suitable {\em ad hoc} representation of Hilbert space.

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