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In some cases, the use of a separated representation circumvents the curse of dimensionality, leading to a complexity scaling with N k instead of Nk , however, some quantum systems explore the whole configurational space whose dimension corresponds to Nk (for example, the spin glass problem considered in [14] consisting of a set of k quantum spins interacting by random Heisenberg exchanges where the configuration space dimension becomes 2k and the system can obviously explore the whole configuration space).
There are some quantum systems in which the solution explores the whole multi- dimensional configuration space, and thus remain almost intractable despite all the possible advances in the computational performances.
(4.170) by q q, and then we integrate into the configurational space in which q is defined, R3, making use of the integration by parts, to obtain
(4.180) by q q, and then we integrate into the configurational space R3, making use of the integration by parts, to obtain
Thus, the configuration space results in S 0, 1 .
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