Quantum state discrimination circuits inspired by Deutschian closed timelike curves

It is known that a party with access to Deutschian closed timelike curve (DCTC) can perfectly distinguish multiple nonorthogonal quantum states. In this paper we propose practical method for discriminating states, by using previously circuit designed simulate DCTCs. This relies on copies of an input state, iterations the circuit, and fixed set unitary operations. We first characterize performance study its asymptotic behavior. also show how it be equivalently recast as local adaptive may implemented simply in experiment. Finally, prove our state discrimination strategy achieves Chernoff bound when arbitrary pure qubit