Quantum Tensor Networks

Quantum

Tensor Network with a notion of "causality". This leads to the notion of sites and directionality (input/output).

Notes

• Indices are referenced by Sites.

TensorNetwork(q::Quantum)

Returns the underlying TensorNetwork of a Quantum Tensor Network.

adjoint(q::Quantum)

Returns the adjoint of a Quantum Tensor Network; i.e. the conjugate Tensor Network with the inputs and outputs swapped.

sites(q::Quantum)

Returns the sites of a Quantum Tensor Network.

nsites(q::Quantum)

Returns the number of sites of a Quantum Tensor Network.

inds(tn::Quantum, set::Symbol = :all, args...; kwargs...)

Options:

• :at: index at a site

tensors(tn::Quantum, query::Symbol, args...; kwargs...)

Options:

• :at: tensor at a site

inputs(q::Quantum)

Returns the input sites of a Quantum Tensor Network.

outputs(q::Quantum)

Returns the output sites of a Quantum Tensor Network.

ninputs(q::Quantum)

Returns the number of input sites of a Quantum Tensor Network.

noutputs(q::Quantum)

Returns the number of output sites of a Quantum Tensor Network.

socket(q::Quantum)

Returns the socket of a Quantum Tensor Network; i.e. whether it is a Scalar, State or Operator.

Scalar <: Socket

Socket representing a scalar; i.e. a Tensor Network with no open sites.

State <: Socket

Socket representing a state; i.e. a Tensor Network with only input sites (or only output sites if dual = true).

Operator <: Socket

Socket representing an operator; i.e. a Tensor Network with both input and output sites.

merge(a::Quantum, b::Quantum...)

Merges multiple Quantum Tensor Networks into a single one by connecting input/output sites.