We extend the family of problems that may be implemented on an adiabatic quantum optimizer (AQO). When a quadratic optimization problem has at least one set of discrete controls and the constraints are linear, we call this a quadratic constrained mixed discrete optimization (QCMDO) problem. QCMDO problems are NP-hard, and no efficient classical algorithm for their solution is known. Included in the class of QCMDO problems are combinatorial optimization problems constrained by a linear partial differential equation (PDE) or system of linear PDEs. An essential complication commonly encountered in solving this type of problem is that the linear constraint may introduce many intermediate continuous variables into the optimization while the computational cost grows exponentially with problem size. We resolve this difficulty by developing a constructive mapping from QCMDO to quadratic unconstrained binary optimization (QUBO) such that the size of the QUBO problem depends only on the number of discrete control variables. With a suitable embedding, taking into account the physical constraints of the realizable coupling graph, the resulting QUBO problem can be implemented on an existing AQO. The mapping itself is efficient, scaling cubically with the number of continuous variables in the general case and linearly in the PDE case if an efficient preconditioner is available.

Objective-The aim of this study was to estimate the prevalence of postcoital dysphoria in sexually active men from a metro city in north India. Materials And Methods-Asample of 200 sexually active men were recruited in the study by means of online survey. Detailed socio-demographic and Post sex experience scale (P-SES) was utilised. Result– Of 168 participants majority 152 (90.5%) belong to less than or equal to 35 years; 83.3% were married males, and 84.5% were Hindu and mean age of participants was 30.15±.3.83 years. Overall prevalence of PCD was 45.2% while it is signicantly more in unmarried (60.7%) than married (42.3%). PCD was more in young adults than middle aged men. Conclusion- Our study indicates that a good proportion of males experienced PCD. According to the good enough sex model, PCD which occurs intermittently may represent natural variation in the human experience of the resolution phase rather than a sexual dysfunction.

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