% twoquditop Operator acting on two qudits of a qudit register
% twoquditop(op,k1,k2,n) defines an n-qudit quantum operator
% which corresponds to operator op acting on the k1th and k2th qudits.
% Qudit position is interpreted as with reorder.
% The dimension of the qudit is deduced from the size of op.
% If n is omitted, then its value is taken to be the value of global
% variable N. If op is sparse, twoquditop() will also
% produce a sparse matrix.
function mop=twoquditop(op,k1,k2,varargin)
if isempty(varargin),
global N;
else
if length(varargin)~=1,
error('Wrong number of input arguments.')
end %if
N=varargin{1};
end %if
kk1=min(k1,k2);
kk2=max(k1,k2);
[sy,sx]=size(op);
d=sqrt(sx);
% If op is sparse then the result will also be sparse
if issparse(op),
mop=kron(speye(d^(N-kk1-1)),op);
mop=kron(mop,speye(d^(kk1-1)));
mop=swapqudits(mop,kk2,kk1+1);
else
mop=kron(eye(d^(N-kk1-1)),op);
mop=kron(mop,eye(d^(kk1-1)));
mop=swapqudits(mop,kk2,kk1+1);
end %if