--- /dev/null
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <math.h>
+#include <complex.h>
+#include "matrix.h"
+#include "exponentialsum.h"
+#include "shrink.h"
+#include "extend.h"
+#include "measurepauli.h"
+#include "innerproduct.h"
+
+int readPaulicoeffs(int *omega, int *alpha, int *beta, int *gamma, int *delta, int numqubits);
+
+// order of matrix elements is [row][column]!!!
+
+int main()
+{
+
+ int N; // number of qubits
+ scanf("%d", &N);
+
+ int T; // number of T gate magic states (set to the first 'K' of the 'N' qubits -- the rest are set to the '0' computational basis state)
+ scanf("%d", &T);
+
+ int omega;
+ int alpha[N], beta[N], gamma[N], delta[N];
+ int Paulicounter = 0;
+
+ int i, j, k, l;
+
+
+ int n1 = 1; int k1 = 0; int (*(G1[])) = { (int[]) {1} }; int (*(GBar1[])) = { (int[]) {1} }; int h1[] = {0}; int Q1 = 0; int D1[] = {0}; int (*(J1[])) = { (int[]) {0} };
+ int n2 = 1; int k2 = 0; int (*(G2[])) = { (int[]) {1} }; int (*(GBar2[])) = { (int[]) {1} }; int h2[] = {1}; int Q2 = 0; int D2[] = {0}; int (*(J2[])) = { (int[]) {0} };
+
+ int *K; int ***G; int ***GBar; int **h; int *Q; int **D; int ***J;
+ double complex Gamma[(int)pow(2,N)]; // prefactor in front of resultant state
+ G = calloc(pow(2,N),sizeof(int*)); GBar = calloc(pow(2,N),sizeof(int*));
+ h = calloc(pow(2,N),sizeof(int*));
+
+ J = calloc(pow(2,N),sizeof(int*)); D = calloc(pow(2,N),sizeof(int*)); Q = calloc(pow(2,N),sizeof(int));
+
+ K = calloc(pow(2,N), sizeof(int));
+
+ double complex origGamma[(int)pow(2,N)];
+ int *origK, *origQ, **origD, ***origJ;
+ int ***origG, ***origGBar, **origh;
+
+ origG = calloc(pow(2,N),sizeof(int*)); origGBar = calloc(pow(2,N),sizeof(int*));
+ origh = calloc(pow(2,N),sizeof(int*));
+
+ origJ = calloc(pow(2,N),sizeof(int*)); origD = calloc(pow(2,N),sizeof(int*)); origQ = calloc(pow(2,N),sizeof(int));
+
+ origK = calloc(pow(2,N), sizeof(int));
+
+ int combination; // a particular combination from the linear combo of stabilizer states making up the tensor factors multiplied together
+
+
+ for(j=0; j<pow(2,N); j++) { // there will be 2^N combinations when using k=1 tensor factors
+ combination = j;
+
+ Gamma[j] = 1.0;
+
+ G[j] = calloc(N, sizeof(int*)); GBar[j] = calloc(N, sizeof(int*));
+ h[j] = calloc(N, sizeof(int));
+
+ if(K[j] > 0) {
+
+ J[j] = calloc(K[j], sizeof(int*)); D[j] = calloc(K[j], sizeof(int));
+ }
+
+ origG[j] = calloc(N, sizeof(int*)); origGBar[j] = calloc(N, sizeof(int*));
+ origh[j] = calloc(N, sizeof(int));
+
+ if(K[j] > 0) {
+ origJ[j] = calloc(K[j], sizeof(int*)); origD[j] = calloc(K[j], sizeof(int));
+ }
+
+ for(k=0; k<N; k++) {
+
+ Gamma[j] *= (1.0/sqrt(2.0))*((combination & 0x1)*cexp(0.25*PI*I) + (~combination & 0x1)*cexp(0.0*PI*I));
+
+ G[j][k] = calloc(N, sizeof(int*)); GBar[j][k] = calloc(N, sizeof(int*));
+
+ if(K[j] > 0)
+ J[j] = calloc(K[j], sizeof(int*));
+
+ origG[j][k] = calloc(N, sizeof(int*)); origGBar[j][k] = calloc(N, sizeof(int*));
+
+ if(K[j] > 0)
+ origJ[j] = calloc(K[j], sizeof(int*));
+
+ h[j][k] = (combination & 0x1)*h2[0] + (~combination & 0x1)*h1[0];
+ for(l=0; l<n1; l++) { // assuming n1=n2
+ G[j][k][k*n1+l] = (combination & 0x1)*G2[0][l] + (~combination & 0x1)*G1[0][l];
+ GBar[j][k][k*n1+l] = (combination & 0x1)*GBar2[0][l] + (~combination & 0x1)*GBar1[0][l];
+ }
+ memcpy(origG[j][k], G[j][k], N*sizeof(int)); memcpy(origGBar[j][k], GBar[j][k], N*sizeof(int));
+
+ combination /= 2; // shift to the right by one (in base-2 arithmetic)
+ }
+
+ memcpy(origh[j], h[j], N*sizeof(int));
+
+ }
+
+ memcpy(origGamma, Gamma, pow(2,N)*sizeof(double complex));
+
+ while(readPaulicoeffs(&omega, alpha, beta, gamma, delta, N)) {
+
+ Paulicounter++;
+ if(Paulicounter > N) {
+ printf("Error: Number of Paulis is greater than N!\n");
+ return 1;
+ }
+
+ // Let's break up the Ys into Xs and Zs in the order Z X, as required to pass to measurepauli()
+ // Y_i = -I*Z*X
+ for(i=0; i<N; i++) {
+ if(delta[i]){
+ omega += 3; // -I = I^3
+ beta[i] = delta[i];
+ gamma[i] = delta[i];
+ }
+ }
+
+ for(j=0; j<pow(2,N); j++) { // the kets
+
+ Gamma[j] *= measurepauli(N, &K[j], h[j], G[j], GBar[j], &Q[j], &D[j], &J[j], omega, gamma, beta);
+
+ }
+
+ }
+
+ double complex amplitude = 0.0 + 0.0*I;
+ for(i=0; i<pow(2,N); i++) { // the bras
+ for(j=0; j<pow(2,N); j++) {
+ // check to see if second arguments are modified!!! They shouldn't be!
+ double complex newamplitude = conj(origGamma[i])*Gamma[j]*innerproduct(N, K[j], h[j], G[j], GBar[j], Q[j], D[j], J[j], N, origK[i], origh[i], origG[i], origGBar[i], origQ[i], origD[i], origJ[i]);
+ amplitude = amplitude + newamplitude;
+ }
+ }
+
+ printf("amplitude:\n");
+ if(creal(amplitude+0.00000001)>0)
+ printf("%lf %c %lf I\n", cabs(creal(amplitude)), cimag(amplitude)>0?'+':'-' , cabs(cimag(amplitude)));
+ else
+ printf("%lf %c %lf I\n", creal(amplitude), cimag(amplitude)>0?'+':'-' , cabs(cimag(amplitude)));
+
+ return 0;
+
+}
+
+
+
+int readPaulicoeffs(int *omega, int *alpha, int *beta, int *gamma, int *delta, int numqubits)
+{
+
+ int newomega, newalpha, newbeta, newgamma, newdelta;
+ int i;
+
+ if(scanf("%d", &newomega) != EOF) {
+ *omega = newomega;
+ for(i=0; i<numqubits; i++) {
+ if(scanf("%d %d %d %d", &newalpha, &newbeta, &newgamma, &newdelta) == EOF) {
+ printf("Error: Too few input coeffs!\n");
+ exit(0);
+ }
+ if(newalpha+newbeta+newgamma+newdelta > 1) {
+ printf("Error: Too many coefficients are non-zero at Pauli %d!\n", i);
+ exit(0);
+ }
+ alpha[i] = newalpha; beta[i] = newbeta; gamma[i] = newgamma; delta[i] = newdelta;
+ }
+ return 1;
+ } else
+ return 0;
+
+}
+
+
+
+
+
+
+
projects / strong_simulation_stabilizer_rank.git / blobdiff