//CNOT gate
// [ 1 0 0 0 ]
// [ 0 1 0 0 ]
// [ 0 0 0 1 ]
// [ 0 0 1 0 ]
public static Kubit gateCONT(Kubit q1, Kubit q2)
{
Zespolona[] Tensor = Rejestry(q1, q2);
Zespolona[] result = new Zespolona[4];
result[0] = Tensor[0];
result[1] = Tensor[1];
result[2] = Tensor[3];
result[3] = Tensor[2];
if (q1.Alpha != Zespolona.Zero)
{
return(new Kubit(result[0] / q1.Alpha, result[1] / q1.Alpha));
}
else
{
return(new Kubit(result[2] / q1.Beta, result[3] / q1.Beta));
}
}
static void Main(string[] args)
{
Zespolona c1 = new Zespolona(1, 3);
Zespolona c2 = new Zespolona(2, -4);
Zespolona c3 = new Zespolona(3, 2);
Zespolona c4 = new Zespolona(4, -1);
Zespolona c5 = new Zespolona(1 / Math.Sqrt(2), 0);
Zespolona c6 = new Zespolona(1 / Math.Sqrt(2), 0);
Console.WriteLine("Zespolona c1: " + c1.ToString());
Console.WriteLine("Zespolona c2: " + c2.ToString());
Zespolona temp = c1 + c2;
Console.WriteLine("Dodawanie: c1+c2 " + temp);
temp = c1 - c2;
Console.WriteLine("Odejmowanie: c1-c2 " + temp);
temp = c1 / c2;
Console.WriteLine("Dzielenie: c1/c2 " + temp);
double temp2 = c1.Abs();
Console.WriteLine("|c1| " + temp2);
temp = c1.Conjugate();
Console.WriteLine("Sprezenie zespolone: c1 " + temp);
temp2 = c2.Norm();
Console.WriteLine("||c2|| " + temp2);
Console.WriteLine("-----------------------------------------");
Zespolona[] zv1 = new Zespolona[] { c1, c2 };
Zespolona[] zv2 = new Zespolona[] { c3, c4 };
Console.WriteLine("Wektor 1");
Console.WriteLine("|" + zv1[0].ToString() + "|");
Console.WriteLine("|" + zv1[1].ToString() + "|");
Console.WriteLine("Wektor 2");
Console.WriteLine("|" + zv2[0].ToString() + "|");
Console.WriteLine("|" + zv2[1].ToString() + "|");
ZespolonyWektor v1 = new ZespolonyWektor(zv1);
ZespolonyWektor v2 = new ZespolonyWektor(zv2);
Console.WriteLine("Suma v1 + v2: ");
ZespolonyWektor testV = v1 + v2;
Console.WriteLine("|" + testV.ComplexVector[0].ToString() + "|");
Console.WriteLine("|" + testV.ComplexVector[1].ToString() + "|");
Console.WriteLine("Roznica v1 - v2: ");
testV = v1 - v2;
Console.WriteLine("|" + testV.ComplexVector[0].ToString() + "|");
Console.WriteLine("|" + testV.ComplexVector[1].ToString() + "|");
Console.WriteLine("Iloczyn salarny v1ov2: ");
Zespolona testZ = ZespolonyWektor.IloczynSkalarny(v1, v2);
Console.WriteLine(testZ.ToString());
Console.WriteLine("Skalar v1 * 2: ");
testV = ZespolonyWektor.Skalar(v1, 2);
Console.WriteLine("|" + testV.ComplexVector[0].ToString() + "|");
Console.WriteLine("|" + testV.ComplexVector[1].ToString() + "|");
Console.WriteLine("-----------------------------------------");
Kubit X = Kubit.One.gateX();
Console.WriteLine("Bramka X " + X.ToString());
Kubit X0 = Kubit.Zero.gateX();
Console.WriteLine("Bramka X0 " + X0.ToString());
Kubit Y = Kubit.One.gateY();
Console.WriteLine("Bramka Y " + Y.ToString());
Kubit Z = Kubit.One.gateZ();
Console.WriteLine("Bramka Z " + Z.ToString());
Kubit H = Kubit.One.gateH();
Console.WriteLine("Bramka H " + H.ToString());
Kubit test = new Kubit(c5, c6).gateH();
Console.WriteLine("Bramka test " + test.ToString());
Kubit q0 = Kubit.Zero;
Kubit q1 = Kubit.One;
Console.WriteLine(q0);
Console.WriteLine(q1);
Console.WriteLine(Kubit.gateCONT(q0, q0));
Console.WriteLine(Kubit.gateCONT(q0, q1));
Console.WriteLine(Kubit.gateCONT(q1, q0));
Console.WriteLine(Kubit.gateCONT(q1, q1));
Kubit test1 = Kubit.Zero.gateH();
Console.WriteLine(Kubit.gateCONT(test1, q0));
Console.WriteLine(Kubit.gateCONT(test1, q1));
test1 = Kubit.One.gateH();
Console.WriteLine(Kubit.gateCONT(test1, q0));
Console.WriteLine(Kubit.gateCONT(test1, q1));
Kubit test2 = Kubit.One.gateH();
Console.WriteLine(Kubit.gateCONT(q0, test2));
Console.WriteLine(Kubit.gateCONT(q1, test2));
Console.ReadKey();
}
public override bool Equals(object obj)
{
Zespolona c = (Zespolona)obj;
return(c.Re == Re && c.Im == Im);
}
public Zespolona Beta; // Beta |1>
public Kubit(Zespolona alpha, Zespolona beta)
{
this.Alpha = alpha;
this.Beta = beta;
}
public Zespolona(Zespolona c) //konstruktor dla zesp
{
this.Re = c.Re;
this.Im = c.Im;
}