BUG with `put` function.

[frankwswang]

MWE:

julia> using CuYao

julia> c1 = put(10, (7,8,9)=>chain(3, chain(3, chain(3, chain(3, put(3, 1=>Ry(pi)), put(3, 2=>Ry(pi)))))))
nqubits: 10
put on (7, 8, 9)
└─ chain
   └─ chain
      └─ chain
         └─ chain
            ├─ put on (1)
            │  └─ rot(Y gate, 3.141592653589793)
            └─ put on (2)
               └─ rot(Y gate, 3.141592653589793)

julia> rand_state(10, nbatch = 1000) |> cu |> c1
ArrayReg{1000, Complex{Float64}, CuArray...}
    active qubits: 10/10

julia> c2 = put(11, (7,8,9,10)=>chain(4, chain(4, chain(4, chain(4, put(4, 1=>Ry(pi)), put(4, 2=>Ry(pi)))))))
nqubits: 11
put on (7, 8, 9, 10)
└─ chain
   └─ chain
      └─ chain
         └─ chain
            ├─ put on (1)
            │  └─ rot(Y gate, 3.141592653589793)
            └─ put on (2)
               └─ rot(Y gate, 3.141592653589793)

julia> rand_state(11, nbatch = 1000) |> cu |> c2
ERROR: CUDA error: device kernel image is invalid (code #200, ERROR_INVALID_IMAGE)

julia> c3 = put(11, (7,8,9)=>chain(3, chain(3, chain(3, chain(3, put(3, 1=>Ry(pi)), put(3, 2=>Ry(pi)))))))
nqubits: 11
put on (7, 8, 9)
└─ chain
   └─ chain
      └─ chain
         └─ chain
            ├─ put on (1)
            │  └─ rot(Y gate, 3.141592653589793)
            └─ put on (2)
               └─ rot(Y gate, 3.141592653589793)

julia> rand_state(11, nbatch = 1000) |> cu |> c3
ArrayReg{1000, Complex{Float64}, CuArray...}
    active qubits: 11/11

[GiggleLiu]

The static matrix in kernel is too large, please use

c2 = concentrate(11, chain(4, chain(4, chain(4, chain(4, put(4, 1=>Ry(pi)), put(4, 2=>Ry(pi)))))), 7:10)

[GiggleLiu]

put is not suited for large blocks, since it will use static gates to avoid allocation, speed up the simulation. Which is not proper for large blocks.

For CPU, it coverts the gate to a dynamic matrix if the gate matrix is too large, however, the same trick is not possible for CuYao, I can fix it by throwing a better error message.

[Roger-luo]

I tagged this because we need better error message