Abstract: Provided is a quantum computing method for obtaining an optimal solution of a problem with multiple discrete variables, wherein the problem is represented by a cost function, the method comprising:—generating a graph structure from the cost function,—dividing the graph structure into at least two disjunct subgraph structures, wherein each subgraph structure comprises a subset of the multiple variables,—mapping each subgraph structure to a local cost function represented as local cost Hamiltonian,—determining, for each local cost Hamiltonian, all eigenstates corresponding to an energy below a predetermined cut off energy using a quantum processing device, wherein each variable of the subset of multiple variables is represented by a qubit of the quantum processing device,—recombining the determined eigenstates, and-approximating a ground state from the recombined eigenstates, wherein the ground state represents the optimal solution.

Abstract: The invention provides a method for diagnosis of, and determining a prognosis for, cancer causatively associated with derangements of chromosome 9p21. Underlying the invention is the discovery that such derangements have their genesis in deletions occurring centromeric to STS 3.21, most often including breakpoints in exon 8 and/or between exons 4 and 5 of the gene which codes for methylthioadenosine phosphorylase. As the cancer and tumor development advance, deletions in 9p21 progress centromerically from the genesis point toward the gene encoding p16. Thus, the method of the invention is performed by determining whether (a) portions of the 9p21 region including and telomeric to STS 3.21 are deleted; and (b) portions of the 9p21 region centromeric to STS 3.

Abstract: The invention provides a method for diagnosis of, and determining a prognosis for, cancer causatively associated with derangements of chromosome 9p21. Underlying the invention is the discovery that such derangements have their genesis in deletions occurring centromeric to STS 3.21, most often including breakpoints in exon 8 and/or between exons 4 and 5 of the gene which codes for methylthioadenosine phosphorylase. As the cancer and tumor development advance, deletions in 9p21 progress centromerically from the genesis point toward the gene encoding p16. Thus, the method of the invention is performed by determining whether (a) portions of the 9p21 region including and telomeric to STS 3.21 are deleted; and (b) portions of the 9p21 region centromeric to STS 3.