Add prime indices for inner in docs (#1124)

Author: ryanlevy

docs/src/examples/MPSandMPO.md

@@ -162,7 +162,7 @@ A key example could be the Hamiltonian defining a quantum system.
 Given an MPO `W` and an MPS `psi`, you can compute ``\langle\psi|W|\psi\rangle``
 by using the function `inner` as follows:
 ```julia
-ex_W = inner(psi,W,psi)
+ex_W = inner(psi',W,psi)
 ```
 which will return a scalar that may be either real or complex, depending on the properties of
 `psi` and `W`.

src/mps/mpo.jl

@@ -421,7 +421,7 @@ MPOs. In general it is more efficient and accurate than `inner(y, apply(A, x))`.
 This is helpful for computing the expectation value of an operator `A`, which would be:
 
 ```julia
-inner(x, A, x)
+inner(x', A, x)
 ```
 
 assuming `x` is normalized.
@@ -431,7 +431,7 @@ If you want to compute `⟨By|Ax⟩` you can use `inner(B::MPO, y::MPS, A::MPO,
 This is helpful for computing the variance of an operator `A`, which would be:
 
 ```julia
-inner(A, x, A, x) - inner(x, A, x) ^ 2
+inner(A, x, A, x) - inner(x', A, x) ^ 2
 ```
 
 assuming `x` is normalized.