{{{\boldsymbol{\beta }}})\left\vert {0}^{n}\right\rangle =\mathop{\prod }\limits_{k=1}^{p}\left({e}^{-i{\beta }_{k}\mathop{\sum }\limits_{i}^{n}{X}_{i}}{e}^{-i{\gamma }_{k
We'll use as many bit-packed query as you need to search for the whole data. Have a single word bigger than 32 char ? ASystem.Namespace.Library.something.fieldsymbol maybe ? No problem, we got you covered and we'll transparently switch to an non bit-vector based implementation. ...
In the former work, they propose to minimize interference on URLLC symbols using symbol similarity, sought after by one of three linear-time routines. In the latter, they formulate the problem as a Mixed Integer Non-Linear Programming (MINLP) problem and propose polynomial-time approximate ...
The symbol "–" denotes the situation when the method failed to converge within 50 iterations for the corresponding . If the method failed at a specific then Newton steps were performed instead until ‖F (x, )‖ < . The order of the problems is the same as in Fig. 2. The ...
Indeed, in order to check if the Levenshtein distance between binary strings \(S_1\) and \(S_2\) is at most k, one can check if \(\#S_1\#\) is a k-approximate cover of \(T=\#S_1\#S_2\#\), where \(\#\) is a special symbol such that the cost of any edit ...
Children can demonstrate this knowledge in multiple ways – e.g., when asked to count a set with only one item children will correctly report that the set contains one item, and when asked to give someone one item children will correctly give only one item (Le Corre et al., 2006, ...
(The dashed line represents the minumum from p = 1 curve in panel b.). Full size image In Fig. 2, we present the cost function for several values of QAOA angles, as computed by the RBM-based simulator. Each panel shows cost functions from one typical random 3-regular graph ...
Note: For functions with multiple parameters, if we want to define smaller functions later (Line:43) we have to define type on RHS, otherwise it will not compile. 1 2 3 4 5 def curriedFormatter(stringFormat: String)(value: Double): String = stringFormat.format(value) val standardFormat:...
the molecule’s secondary structure is decomposed into a sequence of substructures described by independent sequence-structure patterns. These patterns are efficiently aligned to the target sequences using one of our new algorithms and the results are combined with fast global and local chaining algorith...
Once \(\left\vert {{{\Psi }}}_{{{\rm{QAOA}}}({{{\boldsymbol{\beta }}},{{{\boldsymbol{\gamma }}})\right\rangle\) has been prepared, it can be measured in the computational basis, yielding a bitstring x ∈ {0, 1}n with cost H(x); by Born’s rule, the expected...