[ITensors] [BUG] Loading `ITensors` breaks basic `StaticArrays` functionality

[mtfishman]

Description of bug

Loading ITensors before StaticArrays breaks basic StaticArrays constructors, such as @MVector zeros(2) and @MVector zeros(Int, 2).

Minimal code demonstrating the bug or unexpected behavior

Minimal runnable code

julia> using ITensors

julia> using StaticArrays

julia> @SVector zeros(2)
2-element SVector{2, Float64} with indices SOneTo(2):
 0.0
 0.0

julia> @SVector zeros(Int, 2)
2-element SVector{2, Int64} with indices SOneTo(2):
 0
 0

julia> @MVector zeros(2)
ERROR: The size of type `MVector{N, 2} where N` is not known.

If you were trying to construct (or `convert` to) a `StaticArray` you
may need to add the size explicitly as a type parameter so its size is
inferrable to the Julia compiler (or performance would be terrible). For
example, you might try

    m = zeros(3,3)
    SMatrix(m)            # this error
    SMatrix{3,3}(m)       # correct - size is inferrable
    SArray{Tuple{3,3}}(m) # correct, note Tuple{3,3}

Stacktrace:
 [1] error(s::String)
   @ Base ./error.jl:33
 [2] missing_size_error(#unused#::Type{MVector{N, 2} where N})
   @ StaticArrays ~/.julia/packages/StaticArrays/6D1fn/src/traits.jl:73
 [3] Size(#unused#::Type{MVector{N, 2} where N})
   @ StaticArrays ~/.julia/packages/StaticArrays/6D1fn/src/traits.jl:90
 [4] zeros(#unused#::Type{MVector{N, 2} where N})
   @ StaticArrays ~/.julia/packages/StaticArrays/6D1fn/src/arraymath.jl:1
 [5] top-level scope
   @ REPL[5]:1

julia> @MVector zeros(Int, 2)
ERROR: TypeError: in Type, in parameter, expected Type, got a value of type Tuple{DataType}
Stacktrace:
 [1] Size(s::Type{Tuple{Int64}})
   @ StaticArrays ~/.julia/packages/StaticArrays/6D1fn/src/traits.jl:68
 [2] Size
   @ ~/.julia/packages/StaticArrays/6D1fn/src/traits.jl:90 [inlined]
 [3] zeros(#unused#::Type{MVector{Int64, 2}})
   @ StaticArrays ~/.julia/packages/StaticArrays/6D1fn/src/arraymath.jl:1
 [4] top-level scope
   @ REPL[6]:1

julia> versioninfo()
Julia Version 1.7.3
Commit 742b9abb4d (2022-05-06 12:58 UTC)
Platform Info:
  OS: Linux (x86_64-pc-linux-gnu)
  CPU: Intel(R) Xeon(R) E-2176M  CPU @ 2.70GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-12.0.1 (ORCJIT, skylake)
Environment:
  JULIA_EDITOR = vim

julia> using Pkg

julia> Pkg.status("StaticArrays")
      Status `~/Dropbox (Simons Foundation)/workdir/StaticArrays.jl/Project.toml`
  [90137ffa] StaticArrays v1.4.6

julia> Pkg.status("ITensors")
      Status `~/Dropbox (Simons Foundation)/workdir/StaticArrays.jl/Project.toml`
  [9136182c] ITensors v0.3.16

This works fine if I don't load ITensors first:

Minimal runnable code

julia> using StaticArrays

julia> @SVector zeros(2)
2-element SVector{2, Float64} with indices SOneTo(2):
 0.0
 0.0

julia> @SVector zeros(Int, 2)
2-element SVector{2, Int64} with indices SOneTo(2):
 0
 0

julia> @MVector zeros(2)
2-element MVector{2, Float64} with indices SOneTo(2):
 0.0
 0.0

julia> @MVector zeros(Int, 2)
2-element MVector{2, Int64} with indices SOneTo(2):
 0
 0

julia> versioninfo()
Julia Version 1.7.3
Commit 742b9abb4d (2022-05-06 12:58 UTC)
Platform Info:
  OS: Linux (x86_64-pc-linux-gnu)
  CPU: Intel(R) Xeon(R) E-2176M  CPU @ 2.70GHz
  WORD_SIZE: 64
  LIBM: libopenlibm
  LLVM: libLLVM-12.0.1 (ORCJIT, skylake)
Environment:
  JULIA_EDITOR = vim

julia> using Pkg

julia> Pkg.status("StaticArrays")
      Status `~/Dropbox (Simons Foundation)/workdir/StaticArrays.jl/Project.toml`
  [90137ffa] StaticArrays v1.4.6

This is quite concerning behavior! This was caught because @MVector zeros(Int, 2) is being used in a line in the automatic fermion code and was causing test failures. @emstoudenmire

[mtfishman]

Looks like this is fixed in StaticArrays 1.5.1 by https://github.com/JuliaArrays/StaticArrays.jl/pull/1051. Need to add a lower bound on the compat entry and add a test for it.