  In this paper we address the problem of translating one-way quantum
computation (1WQC) into the circuit model. We start by giving a straightforward
circuit representation of any 1WQC, at the cost of introducing many ancilla
wires. We then propose a set of four simple circuit identities that explore the
relationship between the entanglement resource and correction structure of a
1WQC, allowing one to obtain equivalent circuits acting on fewer qubits. We
conclude with some examples and a discussion of open problems.
